Mathematics

Mathematics

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

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