#### How to create a recursive formula for an arithmetic sequence

Anonymous

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Sangeetha Pulapaka

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1.Determine if the sequence is arithmetic

Recall what is an arithmetic sequence

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2.Create a recursive formula by stating the first term, and then writing the formula as the previous term plus the common difference.

Taking the first term as a_{1} and the common difference as d

a_{1} = 1st term of the sequence

a_{n} = nth term of the sequence

a_{n-1} = the term before the nth term

n = the term number

d = the common difference

The recursive formula will be a_{n} = a_{n-1} +d

The recursive formula can be used to find out the nth term only if the (n-1)th term or the preceding term is known.