In the formula for an arithmetic progression

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

Problem

In the formula Sn=n2[2a+(n−1)d]S_n = \dfrac{n}{2}[2a + (n - 1)d] for an arithmetic progression, what does the factor n2\dfrac{n}{2} represent? (a) The arithmetic mean of the first and nnth term (b) The number of terms in the progression (c) The number of distinct pairs of terms being added (d) The position of the middle term in the progression

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