Which of the following represents the sum of the first terms of an arithmetic…

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

Problem

Which of the following represents the sum of the first nn terms of an arithmetic progression whose first term is aa and common difference is dd? (a) n2 [a+(n−1)d]\dfrac{n}{2}\,[a+(n-1)d] (b) n2 [2a+(n−1)d]\dfrac{n}{2}\,[2a+(n-1)d] (c) n [a+(n−1)d]n\,[a+(n-1)d] (d) n2 [2a+nd]\dfrac{n}{2}\,[2a+nd]

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