An arithmetic progression has first term and common difference

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

Problem

An arithmetic progression has first term

1

and common difference

1

. A geometric progression has first term

1

and common ratio

1.1

. Let

S_n^{(A)}

and

S_n^{(G)}

be the sums of their first

n

terms. Find the least positive integer

n

for which

S_n^{(G)} \ge 2\,S_n^{(A)}

. (a) 60 (b) 70 (c) 64 (d) 62