While adding the first terms of an arithmetic progression

MATHEMATICS · Single correct · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

While adding the first nn terms of an arithmetic progression, a student pairs the first term with the last term, the second term with the second–last term, and so on. Why does every such pair have the same sum? (a) Because a+la + l equals the common difference of the progression. (b) Because terms equally distant from the ends always add up to the constant value a+la + l. (c) Because terms next to each other always add up to the same value since the common difference is constant. (d) Because a+la + l is twice the common difference of the progression.

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