arithmetic sequence formula calculator D is a 1 -by- (M* (M-1)/2) row vector corresponding to the M* (M-1)/2 pairs of sequences in Seqs. Geometric Progression Formulas. a. The sum of the first n terms of an arithmetic sequence is given by: Sn = n 2 (2a+(n−1)d) S n = n 2 ( 2 a + ( n − 1) d) where the first term is a and the common difference is d. So in your example you'd put in a = 12 and d = 4 with n = 13 and the sum would be 204. Also, this calculator can be used to solve much more complicated problems. Arithmetic sequence calculator can compute the sequence of infinite series online. In the last post, we talked about sequences. Recursive formula of an arithmetic sequence: Dec 30, 2015 · The two standard approximation calculations are used. The explicit formula for an arithmetic series is a n = a 1 + (n - 1)d. where w,x,y,z are the number of the bases A,T,G,C in the sequence, respectively (from Marmur,J. The number multiplied is called the common ratio. Cite this content, page or calculator as: Furey, Edward " Cubic Equation Calculator " at https://www. You can use any calculator for free without any limits. Indeed: An arithmetic sequence is a sequence where the difference d between successive terms is constant. (b) Calculate Sl, S2, and S3, the total distance an object falls in l, 2, and 3 respectively. Sep 16, 2015 · High School Math Solutions – Sequence Calculator, Sequence Examples. For the recursive formula to be complete, the first term must be defined. an = a1 + (n – 1)d Entering data into the Gaussian elimination calculator. 2. Arithmetic Progression. The sum of the cubes of that sequence is given by S 2 + SF (F-d) For the case of S= 2+5+ 8 + 11 = 26, and 2 3 + 5 3 +8 3 +11 3 = 1976 the method says to use 26 2 3+26 (2) (-1) = 1976. This explains why the introduction of a lottery algorithm calculator was embraced with open arms. After entering all of the required values, the geometric sequence solver automatically generates the values you need Jan 01, 2020 · Sum of an Arithmetic Sequence Formula Proof. Each term therefore in an arithmetic progression will increase or decrease at a constant value called the common difference, d. Press "/" or "÷," to divide. com is one of the best free calculators website. Calculate the nth term of the arithmetic progression which has the following set of data. The arithmetic sequence calculator uses arithmetic sequence formula to find sequence of any property. Arithmetic progression is a sequence, such as the positive odd integers 1, 3, 5, 7, . The best calculators are based on number wheeling. The formula is: $ \frac{ -b \pm \sqrt{b^2 -4ac}}{2a } $ The quadratic formula calculator below will solve any quadratic equation that you type in. (2) The deﬁnitions allow us to recognize both arithmetic and geometric sequences. For sequences less than 14 nucleotides the formula is. Jan 20, 2020 · 17+ Amazing Examples! This video is all about two very special Recursive Sequences: Arithmetic and Geometric Sequences. Press "12. So the 5 th term for a series starting at 3 (the initial term), with a common difference of 4, and where n = 5 would be: 3 + (5-1) x 4 = 19. (1) For a geometric sequence, a formula for thenth term of the sequence is a n 5 a · rn21. This sigma sum calculator computes the sum of a series over a given interval. 15, 12, 9, 6 …. Sep 09, 2020 · Arithmetic sequence calculator uses arithmetic sequence formula. Use nth term formula to find the explicit formula. Fill in the variables 'from', 'to', type an expression then click on the button calculate. Let's be honest - sometimes the best arithmetic mean calculator is the one that is easy to use and doesn't require us to even know what the arithmetic mean formula is in the first place! But if you want to know the exact formula for calculating arithmetic mean then please check out the "Formula" box above. Starting from u n = u 1 + ( n − 1). Explore many other math calculators, as well as hundreds of other calculators addressing health, fitness, finance, math, and more. Common difference d = 2. y=x^2+1. Brainstorming. More in-depth information read at these rules; To change the signs from "+" to "-" in equation, enter negative numbers. BYJU’S online arithmetic sequence calculator tool makes the calculation faster, and it displays the arithmetic sequence in a fraction of seconds. In symbols, the n th term of a geometric sequence is: t n = a·r n-1. Now, just evaluate the function at the left endpoints of the subintervals. Find the sum of the first 9 natural numbers. Arithmetic Progression (also called arithmetic sequence), is a sequence of numbers such that the difference between any two consecutive terms is constant. This set of worksheets lets 8th grade and high school students to write variable expression for a given sequence and vice versa. 154 × (1 - RR) Where, RR Interval = 60 / Heart Rate (expressed in seconds) The Bazett formula was first presented by Henry Cuthbert Bazett in 1920. In this sequence, al = th (a) Find a formula for then term in the sequence of distances. Additionally, it gives the GC content, moles and copies of ssDNA you enter which are also useful to determine characteristics of DNA. (c) Give a formula for Sn, the distance fallen in n Calculate a Recursion. The Math Calculator will evaluate your problem down to a final solution. last-Term n = 10. To find any term in an arithmetic sequence use this formula: \(\color{blue}{x_{n}=a+d(n-1)}\) Apr 24, 2020 · An arithmetic sequence is a sequence where the difference between any two consecutive terms is a constant. Gathering Information. a n = a 1 + ( n –1) d. i_vector = 1:n; s1 = sum (i_vector); s2 = sum (i_vector. An Arithmetic Sequence is such that each term is obtained by adding a constant to the preceding term. An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant. Sum of Arithmetic Sequence Formula. Find the common difference in each of the following arithmetic sequences. The statement + 1) = A(n) + 3 is a recursive formula. Enter "36" in the calculator. 020413775479337 + 1 Arithmetic Sequence Arithmetic Progression A sequence such as 1, 5, 9, 13, 17 or 12, 7, 2, –3, –8, –13, –18 which has a constant difference between terms. Question #2: Use the formula x n = a + d ( n − 1) to find the 8 th term in the sequence below. This is an online browser-based utility for generating a list of numbers in arithmetic progression. An arithmetic sequence is a sequence (list of numbers) that has a common difference (a positive or negative constant) between the consecutive terms. Calculate the explicit formula, term number 10, and the sum of the first 10 terms for the following arithmetic series: 2,4,6,8,10. Sequences and Series, Terms An arithmetic sequence is defined recursively by , with = 29. Last term ( ℓ )=80. x+3=5. d represents the common difference between each term, a n - a n - 1. How to Use the Arithmetic Sequence Calculator? Arithmetic sequences calculator This online tool can help you find $n^{th}$ term and the sum of the first $n$ terms of an arithmetic progression. d and expanding the parentheses we can quickly see that c = u 1 − d. Median formula is still the same. Finally, just sum up the above values and multiply by Δ x = 1 2: 1 2 ( 1 + 1. If the first term of an arithmetic sequence is a 1 and the common difference is d, then the nth term of the sequence is given by: The peptide molecular weight calculator will display average and monoisotopic mass of the molecule, as well as a table of mass divided by charge values, both in positive and negative scan modes, which is useful for mass spec analysis. +22203. , and Doty,P. Key Point The sum of the terms of an arithmetic progression gives an arithmetic series. In this post, we will focus on examples of different sequence problems. An explicit formula for an arithmetic sequence with common difference d is given by a n = a 1 + d (n − 1). As recursion variables in the formula, v for r (n-1), w for r (n-2), x for r (n-3), y for r (n-4) and z for r (n-5) are used. If the starting value is a and the common diﬀerence is d then the sum of the Geometric sequences happen when you multiply numbers. To find the explicit formula of geometric sequences, you'll need to find a formula for the n th term. In this sequence, the common difference is 7 because each term increases by 7 as the sequence progresses. Then enter the value of the Common Ratio (r). His formula is saying to find any term in the sequence add 3 to the term before it. The sum of the first n terms S n of an arithmetic sequence is calculated by the following formula: S n = n (a 1 + a n )/2 = n [2a 1 + (n - 1)d]/2. In mathematics, a geometric progression (sequence) (also inaccurately known as a geometric series) is a sequence of numbers such that the quotient of any two successive members of the sequence is a constant called the common ratio of the sequence. Observe the sequence and use the formula to obtain the general term in part B. The Arithmetic series of finite number is the addition of numbers and the sequence that is generally followed include – (a, a + d, a + 2d, …. Nickzom Calculator is an app that solves calculations and shows the steps on Mathematics, Physics, Engineering and Unit Conversions for quick and easy understanding. Apr 07, 2021 · The formula to solve the sum of infinite series is related to the formula for the sum of first n terms of a geometric series. An explicit formula for an arithmetic sequence with common difference d is given by an=a1+d(n−1) a n = a 1 + d ( n − 1 ) . Geometric Sequence Arithmetic and Geometric and Harmonic Sequences Calculator. - find the next or missing terms in a number series. For example, to find the 12th add 3 to the 11th term . Hide Answer. Versatile input and great ease of use. 1. For sequences longer than 13 nucleotides, the equation used is Sum Of Arithmetic Sequence Formula With Solved … 3 hours ago The sequence that the arithmetic progression usually follows is (a, a + d, a + 2d, …) where “a” is the first term and “d” is the common difference. Solution: Given. We prefer working excel sheet/google sheet but we also accept other documents if well described. Use this calculator to solve polynomial equations with an order of 3 such as ax 3 + bx 2 + cx + d = 0 for x including complex solutions. apply their knowledge of arithmetic sequences in a variety of contexts • apply the relevant formula in both theoretical and practical contexts • calculate the value of the first term (a), the common difference (d B. This calculator could figure out the DNA molecular weight of one or multiple FASTA sequences simultaneously which are entered directly or uploaded with txt or fasta file extension. The formula for arithmetic mean can be calculated by using the following steps: Step 1: Firstly, collect and sort out the variables for which the arithmetic mean has to be calculated. Arithmetic or Linear Sequences. Step 1: Enter the expression you want to evaluate. In mathematics, an arithmetic sequence, or arithmetic progression is a sequence of numbers such that the difference between the consecutive terms is constant and is called the common difference. This online calculator computes the last nth term of arithmetic progression and the sum of the members. The calculator uses the quadratic formula to find solutions to any quadratic equation. Using our online free calculator is very simple. A recursive formula relates a term in the sequence to the preceding term or terms Of the sequence. (1962) J Mol Biol 5:109-118 ). For one start value, see iteration. getcalc. Today we might write S=n (F+L) /2 . ) 48, 45, 42, 39 because it has a common difference of - 3. we required complete calculator documentation to start working. 4(12) = A(II) + 3. Simply type in a number for 'a', 'b' and 'c' then hit the 'solve' button. The first term is a 1, the common difference is d, and the number of terms is n. Step 1. Math Calculator. Algebra Calculator is a calculator that gives step-by-step help on algebra problems. Get step-by-step solutions from expert tutors as fast as 15-30 minutes. This summation notation calculator can sum up many types of sequencies including the well known arithmetic and geometric sequencies, so it can help Description. Calculate the fifth and tenth terms. Finally, the formula is Sn=a1 (1-r n)/1-r. These distances form the arithmetic sequence 16, 48, 80, 16 and d = 32. 1/3 + 1/4. Your first 5 questions are on us! Arithmetic Sequence Calculator is a free online tool that displays the arithmetic sequence of the number. Arithmetic Sequence Calculator. - find the formula (pattern) of an arithmetic sequence. This free number sequence calculator can determine the terms (as well as the sum of all terms) of an arithmetic, geometric, or Fibonacci sequence. u 1 + ( n − 1) d) Where u 1 is the first term of the sequence and d is its common difference . It is commonly used because it offers a simple approach to determining QT c. Sample calculator links also work. The formula for the n-th term of an arithmetic sequence can also be written: u n = d n + c. See Example. Arithmetic Sequence Formulas. Example problem: An arithmetic sequence has a common difference equal to 10, and its 5-th term is equal to 52. Here are some examples of arithmetic sequences: 1. calculatorsoup. a n = a 1 + (n-1)* d. ax 2 + bx + c = 0. Arithmetic progression (AP) is calculated using the formula given below with the common difference, first and last term of a series of numbers. Example 3: Find the explicit formula of the following arithmetic sequence; 11, 17, 23, 29, 35, 41, 47,… Solution: First term a1 = 11, common difference d = 17 – 11 = 6. By using this website, you agree to our Cookie Policy. Press "=" (the equal sign). Sequences in various mathematical disciplines have many applications because of their convergence properties. For example, if the common difference is 5, then each term is the previous term plus 5. Calculator for recursions with two up to five start values. Alongside a basic and scientific calculator. Learning will be much easier and fun with the Online Calculator for Sequence. Dec 21, 2012 · The formula uses S as the sum of the simple arithmetic sequence. For a geometric sequence, the nth term is calculated using the formula s x s (n - 1). The general term of an arithmetic sequence can be written in terms of its first term a1, common difference d, and index n as follows: an = a1 + (n − 1)d. (5 Worksheets) General term of an arithmetic sequence. Use the general term to find the arithmetic sequence in Part A. The variables are denoted by x i . Process to Build Calculator. Preview. In algebra, a quadratic equation is any polynomial equation of the second degree with the following form: ax 2 + bx + c = 0. You can also add, subtraction, multiply, and divide and complete any arithmetic you need. To find the common ratio, divide any term by its preceding term. Currently, it can help you with the two common types of problems: Find the n-th term of an arithmetic sequence given m-th term and the common difference. Note that for the natural sequence with a = 1 and d=1, the Quadratic Formula Calculator. Such systems save lottery players lots of time since all they need to do is enter the number of balls onto their chosen lottery wheel and then follow the instructions on how to fill out their tickets. , in which each term after the first is formed by adding a constant to the preceding term. Find the first 5 terms of the sequence, write an explicit formula to represent the sequence, and find the 15th term. com's Arithmetic Progression Calculator is an online basic math function tool to calculate the sum of any number series that follows a common difference between the consecutive terms. To calculate no of terms in given arithmetic sequence an = a + ( n -1) d. Take a look at the following posts for demonstration of what the calculator is capable of: Peptide Properties The arithmetic progression calculator, formulas for the `n^{th}` term of the sequence and the sum of `n` numbers of the sequence, step by step calculation and practice problems would be very useful for grade school students (K-12 education) in studying series and sequences and in solving real world problems. An example is shown where a 1 and d may entered as integers, decimals or fractions and n must be a positive integer. An explicit formula can be used to find the number of terms in a sequence. * @return {void} How To Reset Foryoupage On Tiktok, 2 The 10th term is Number . . Basic Math. Step 1: Write the first 3 terms and the last 3 terms of an arithmetic sequence in terms of (a+ Substitute a, d and n into the Sn formula: Sn = n/2 (2a+ Online calculator to calculate the sum of the first n terms and the nth term of an arithmetic sequence . We will not go through them step by step, but the examples will give you a better feel for how to solve these problems. Disclaimer: This calculator is not perfect. You can input only integer numbers or fractions in this online calculator. This constant difference is called common difference. Summation formula and practical example of calculating arithmetic sum. - see a sequence graph or a graph of your own math function. 2,4,6,8,10…. Divide the interval [ 0, 2] into n = 4 subintervals of the length Δ x = 1 2 with the following endpoints: a = 0, 1 2, 1, 3 2, 2 = b. Formulas for the nth terms of arithmetic and geometric sequences For an arithmetic sequence, a formula for thenth term of the sequence is a n 5 a 1 ~n 2 1!d. A sequence of numbers such that the difference between the consecutive terms is constant is called arithmetic sequence. com Mar 03, 2015 · Best Answer. Make the most out of the free online tools and get accurate yet straightforward descriptions. Step 2: Click the blue arrow to submit and see your result! Download the set. Arithmetic progression is the sequence of numbers in which the difference of two consecutive numbers is a constant. Put the values in the arithmetic progression formula. See More Examples ». The quotient, or answer, is 3. Framingham formula (linear correction): QT c = QT + 0. We carry a large amount of high quality reference information on matters starting from final review to subtracting rational expressions Jan 11, 2013 · Therefore, recursive formula of the geometric sequence is of the an = an-1 * 3 where a1 = 12. 5 hours ago Arithmetic Sequence Calculator Free Online Calculators . Find the 9th term of the arithmetic sequence that begins with 2 and 9. a = first term and r = common ratio. Find its 15-th term. +5. The fourth term of an arithmetic sequence is 20, and the 13th term is 65. An easy to use online summation calculator, a. Explain Johnny's formula. Step 2. The number d is called the common difference. The first two numbers are defined to be 0, 1 . What is the general formula for the sum of infinite geometric series? The formula to find the sum of an infinite geometric series is S=a1/1-r. Sequences Calculator: Trying to figure out Sequences and looking for a online tool that makes your job easy. where c is a constant. Calculate Median, Mean, Mode, Range, Frequency values, no matter whether you have a set of whole numbers or fractions. Please use at your own risk, and please alert us if something isn't working. There are two popular techniques to calculate the sum of an Arithmetic sequence. sigma calculator. How to calculate n-th term of a sequence? For an arithmetic sequence, the nth term is calculated using the formula s + d x (n - 1). Free Sequences calculator - find sequence types, indices, sums and progressions step-by-step This website uses cookies to ensure you get the best experience. Therefore, Δ x = 2 − 0 4 = 1 2. D = seqpdist (Seqs) returns D , a vector containing biological distances between each pair of sequences stored in the M sequences of Seqs , a cell array of sequences, a vector of structures, or a matrix or sequences. If in your equation a some variable is absent, then in this place in the calculator, enter zero. This arithmetic sequence equation shows what happens as we add a successive term to the series Arithmetic sequence formula. Formula for Sum of Arithmetic Sequence Formula. and so on) where a is the first term, d is the common difference between terms. A Recursive equation is a formula that enables us to use known terms in the sequence to determine other terms. First-term a1 = 2. " Twelve is your divisor, the number you need to divide by. We can use the arithmetic sequence formula to find any term in the sequence. Common difference (d)=3. Nov 15, 2021 · In an arithmetic sequence, the distance between each consecutive term, the common difference, is constant. Arithmetic progressions - all formulas. Arithmetic Sequence Calculator Arithmetic Squence Tutorial By Developing 100+ online Calculators and Converters for Math Students, Engineers, Scientists and Financial Experts, calculatored. Tm= (wA+xT) * 2 + (yG+zC) * 4. com. Calculator Use. Algebra. Solution: Part 1: Finding the nth term. where x is an unknown, a is referred to as the quadratic coefficient, b the linear coefficient, and c the constant. Formulae: An Arithmetic sequence can be defined as: n[x] = n[x-1] + increment Where: x is the current element number, or 'index' and: 'increment' is the difference between each number in the sequence Arithmetic and Geometric and Harmonic Sequences Calculator: Determine Sequence Expand Sequence-- Enter Series-- (Optional) Number of Expansion terms Given an arithmetic sequence, we can calculate the sum of its first n terms, S n, using the formula : S n = n 2 ( 2. In this example, we find the nth term Oct 18, 2015 · You can take the absolute value of the negative solution for n and put it into: n 2 ( 2 ( d − a) + ( n − 1) d) and that'll give the same sum as the positive value of n. Let an =80, 80=5+ ( n -1)⋅3. 1 - Enter the first term A1 in the sequence, the common difference d and n the number of terms in the sum then press enter. This is the dividend, the number you will divide. Here, a recursion is a repeated calculation with several previously computed values. So the 5-th term of a sequence starting with 1 and with a difference (step) of 2, will be: 1 + 2 x (5 - 1) = 1 + 2 x 4 = 9. This sum of series calculator and associated information may help students, teachers, parents or professionals to learn, teach or practice the The first term of an arithmetic sequence is 5, the common difference is 3 and the last term is 80, find the number of terms. Once the equation has been entered, the calculator uses the Newton-Raphson numerical method to solve the equation. Enter values for a, b, c and d and solutions for x will be calculated. There are two ways with which we can find the sum of the arithmetic sequence. (in fact c = u 1 − d ). As with any recursive formula, the initial term of the sequence must be given. With Number Series Calculator you can. Find the next number in the sequence 3,7,15,31,63 calculator - find the next number in the series 3,7,15,31,63, step-by-step solver online We use cookies to improve your experience on our site and to show you relevant advertising. The calculator below solves the quadratic equation of. Write the first 6 terms of the sequence. It can be found by taking any term in the sequence and subtracting its preceding term. Also look at the documentation for the Fibonacci sequence formula The Fibonacci numbers , denoted f n , are the numbers that form a sequence, called the Fibonacci sequence, such that each number is the sum of the two preceding ones. Important Formulas for Arithmetic Sequence: • Recursive Formula • Explicit Formula a n = a n –1 + d a n = a 1 + (n - 1)d Where: a n is the nth term in the sequence a 1 is the first term n is the number of the term d is the common difference To do this, we just substitute our formula for ℓ into our formula for S n. First term ( a )=5. For example, the sequence \(6, 8, 10, 12, 14\), … is an arithmetic sequence with common difference of \(2\). An arithmetic series is the sum of the terms of an arithmetic sequence. Finally, enter the value of the Length of the Sequence (n). Preview 9 hours ago An arithmetic sequence or series calculator is a tool for evaluating a sequence of numbers, which is generated each time by adding a constant value. )7, 14, 21, 28 because Common difference is 7. From ℓ = a+(n−1)d, S n = 1 2 n(a+ℓ) we obtain S n = 1 2 n(a+a+(n− 1)d) = 1 2 n(2a+(n−1)d). Find a formula for the nth term of the arithmetic sequence whose common difference is 3 and whose first term is 2. Sigma notation calculator with support of advanced expressions including functions and constants like pi and e. How to Calculate Arithmetic Mean. Also, find the sequence till nth term. Created: 01 January 2020. This app not only calculates the missing numbers and letters of the sequence, but also finds the formula and in some cases, the name of Nov 20, 2011 · n = 100; % set n to whatever value you need. Alternatively, we can write this as: Sn = n 2 (a+L) S n = n 2 Example. Example 1. An arithmetic progression is a number sequence such that the difference (delta) between one term (number) and the next is a constant. Terms Formula: a n = a 1 + (n - 1)d . Arithmetic sequence equation can be written as: a a a = 1 + ( n − 1 ) d 1 + (n-1)d 1 + ( n − 1 ) d The formulas applied by this arithmetic sequence calculator can be written as explained below while the following conventions are made: - the initial term of the arithmetic progression is marked with a 1; - the step/common difference is marked with d; - the nth term of the sequence is a n; - the number of terms in the arithmetic progression is n; If the initial term of an arithmetic sequence is a 1 and the common difference of successive members is d, then the nth term of the sequence is given by: a n = a 1 + (n - 1)d. ^2); To understand these examples, it's essential to look up the colon ( : ) operator in the introductory documentation or your textbook, as it's at the core of how this kind of operation is usually done. is an arithmetic sequence with the common difference 2. Sum Formula: S n = n(a 1 + a n) / 2 . The Online Median calculator allows everybody to easily calculate the median value of any set of numbers in 3 simple steps. Recursive Formula Arithmetic Sequence Calculator Daily . An explicit formula returns any term of a given sequence, while a recursive formula gives the next term of a given sequence. k. Nickzom Calculator. #2. Sigma Notation Calculator. Where: a n is the n-th term of the sequence, a 1 is the first term of the sequence, n is the number of terms, d is the common difference, S n is the sum of the first n terms of the sequence. Note: exam questions frequently involve this second formula. Arithmetic sequence formulas. The goal of this math app is to provide one with solutions and steps to his or her calculations. We assign a manager to your project who will go through and all Solving equations is possible with the equation solver in the fx-991ES PLUS or fx-991EX calculator’s shift-solve functionality. An arithmetic sequence, or progression, is any sequence where the same difference occurs between each term within that sequence. Which can then be interpreted as a series that starts from d − a and then has common If you need support with algebra and in particular with rearranging formulas calculator or precalculus come visit us at Algebra-equation. Thank you. A recursive formula for an arithmetic sequence with common difference d is given by a n = a n − 1 + d, n ≥ 2. Use common difference calculator to compute the n-th term online. A recursive formula allows us to find any term of an arithmetic sequence using a function of the preceding term. Examples of arithmetic progression are: 2, 5, 8, 11, Calculator. So, the formula for the \(n\)-th term is: $${ a }_{ n } ={ a }_{ 1 } + d ⋅ (n – 1),$$ where \(d\) is the common This online calculator can solve arithmetic sequences problems. tech provides online calculators for multiple niches including mathematical, financial, Health, informative, Chemistry, physics, statistics, and conversions. The nth value of an arithmetic sequence can be calculated as: Starting point + (n - 1) x common difference. Each term is the sum of the previous term and the common difference. Here are the steps in using this geometric sum calculator: First, enter the value of the First Term of the Sequence (a1). 3. There are 3 dozen eggs in the egg lady's basket. Last Updated: 01 January 2020. We use the following for the formula: T n= a + (n – 1)d ‘a’ is the first term ‘d’ is the common difference between the terms Hodges formula (linear correction): QT c = QT + 105 / RR - 105. arithmetic sequence formula calculator

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