Explicit formulas for arithmetic sequences

Learn how to work with arithmetic sequences in this free math video tutorial by Mario's Math Tutoring.We discuss how to write a recursive formula and an expl

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Arithmetic Sequences

The original formula for the nth term of an arithmetic sequence is \(a_n=a_1+(n-1)d\). When the given values are plugged into the formula it becomes \(a_n=2+(16-1)(8)\).
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math1314-arithmetic-sequences.pdf

Formula 1: The arithmetic sequence formula is given as, an = a1 +(n−1)d a n = a 1 + ( n − 1) d. where, an a n = n th term, a1 a 1 = first term, and. d is the common difference. The above

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Arithmetic Sequence Formula

We can write an Arithmetic Sequence as a rule: x n = a + d(n−1) (We use n−1 because d is not used in the 1st term).

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