Consider an arithmetic progression with first term and common difference

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

Consider an arithmetic progression with first term

2

and common difference

3

, and a geometric progression with first term

2

and common ratio

2

. Let

S_n^{(A)}

and

S_n^{(G)}

be their respective sums of the first

n

terms. What is the smallest positive integer

n

for which

S_n^{(G)}>S_n^{(A)}

? (a)

5

(b)

4

(c)

3

(d)

6