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An arithmetic sequence is usually given by a formula in which the nth term, T(n), is given in terms of the first term, a, and the common difference, d:

t(n) = a + d*(n-1) where n= 1, 2, 3, etc

An alternative is to define it iteratively. Thus:

t1 = a

tn = tn-1 + d , where n = 2, 3, 4, etc

Q: What is the Formula for arithmetic progression?

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The history of arithmetic progression started with Euler. Later is was refined by Dirichlet which led to his theory of arithmetic progression.

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