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

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

Problem

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

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