Let a1,a2,a3,……,a100 be an arithmetic progression with a1=3 and Sp – InterviewSolution

1.	Let a1,a2,a3,……,a100 be an arithmetic progression with a1=3 and Sp=∑pi=1ai,1≤p≤100. For any integer n with 1≤n≤20, let m = 5n. If SmSn does not depend on n, then a2 is equal to___
Answer» Let $a_{1}, a_{2}, a_{3}, \dots \dots, a_{100}$ 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 = 5n. If $\frac{S_{m}}{S_{n}}$ does not depend on n, then $a_{2}$ is equal to___

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