Let a_1,a_2,a_3 , ... , a_{100} be an arithmetic progression with a_1 = 3 and S_p = \sum^{p}_{i=1} a_i , 1 ≤ p ≤ 100. For any integer n with 1 ≤ n ≤ 20, let m = 5n. If S_m/S_n does not depend on n, then a_2 is _____. [JEE Adv 2011 P1]

Sequences and Series

Section: Mathematics

Question : 17 of 22

Marks: +1, -0

Let a1,a2,a3 , ... , a100 be an arithmetic progression with a1 = 3 and Sp =

i=1

ai , 1 ≤ p ≤ 100. For any integer n with 1 ≤ n ≤ 20, let m = 5n. If

does not depend on n, then a2 is _____.

[JEE Adv 2011 P1]

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