Consider the series represented by

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

Problem

\displaystyle S=\sum_{k=0}^{n-1}(5k+7)

. Which of the following gives the first term

a

and the common difference

d

of the corresponding arithmetic progression? (a)

a=12,\; d=5

(b)

a=7,\; d=5

(c)

a=5,\; d=7

(d)

a=7,\; d=12