Let a₁, a₂, a₃, ldots, a_{100} be an arithmetic progression with a₁=3 and Sₚ=Σ_{i=1}^p a?

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8. Sequences and Series

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Let $a_1, a_2, a_3, \ldots, a_{100}$ be an arithmetic progression with $a_1=3$ and $S_p=\sum_{i=1}^p a_i, 1 \leq p \leq 100$. For any integer $n$ with $1 \leq n \leq 20$, let $m=5 n$. If $\frac{S_{m m}}{S_n}$ does not depend on $n$, then $a_2$ is

A

$3,9,3 $ and $ 9$

B

$3,4,5 $ and $ 6$

C

$3,6,4 $ and $ 8$

D

$7,8,4 $ and $ 5$

(IIT-2011)

Solution

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