Mathematics

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

4

3

6