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    Artithmetic Sequences


    Arithmetic sequences possesses the simple recursion formula:

    an = d + an-1

    where d is a fixed number known as the common difference


    Sum of the First n Terms:

    For geometric sequence {an} with first term a1 and common difference d, the following applies for every positive integer n:



    Example:

    Find the sum of the first ten terms of the arithmetic sequence: 5, 1,  −3, −7, ...

    Solution: