Let a1,a2,a3,,a100be an arithmetic progression with a1=3andsp=i=1∑pai,1≤p≤100.For any integer nwith 1≤n≤20,letm=5n˙If SnSmdoes not depend on n,then a2is__________.

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Let {a}_{{1}},{a}_{{2}},{a}_{{3}},,{a}_{{{100}}}be an arithmet

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Let $a_{1}, a_{2}, a_{3},, a_{100}$ be an arithmetic progression with $a_{1} = 3 a n d s_{p} = i = 1 \sum p a_{i}, 1 \leq p \leq 100 .$ For any integer $n$ with $1 \leq n \leq 20,$ let $m = 5 n ˙$ If $\frac{S _{m}}{S _{n}}$ does not depend on $n,$ then $a_{2}$ is__________.

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Let

a_{1}, a_{2}, a_{3},, a_{100}

be an arithmetic progression with

a_{1} = 3 a n d s_{p} = i = 1 \sum p a_{i}, 1 \leq p \leq 100 .

For any integer

n

with

1 \leq n \leq 20,

let

m = 5 n ˙

\frac{S _{m}}{S _{n}}

does not depend on

n,

then

a_{2}

is__________.

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Question Text	Let $a_{1}, a_{2}, a_{3},, a_{100}$ be an arithmetic progression with $a_{1} = 3 a n d s_{p} = i = 1 \sum p a_{i}, 1 \leq p \leq 100 .$ For any integer $n$ with $1 \leq n \leq 20,$ let $m = 5 n ˙$ If $\frac{S _{m}}{S _{n}}$ does not depend on $n,$ then $a_{2}$ is__________.
Answer Type	Video solution: 1
Upvotes	150