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Sequences and Series question

2011 · Shift 1 · Q29

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JEE Advanced
Mathematics
Sequences and Series
2011 · Shift 1 · Q29

Sequences and Series question

2011 · Shift 1 · Q29

JEE AdvancedMathematicsSequences and SeriesNumerical+4 / −1

Let

{{a_1}}

,

{{a_2}}

,

{{a_3}}

........

{{a_{100}}}

be an arithmetic progression with

{{a_1}}

= 3 and

{S_p} = \sum\limits_{i = 1}^p {{a_i},1 \le } \,p\, \le 100

. For any integer n with

1\,\, \le \,n\, \le 20

, let m = 5n. If

{{{S_m}} \over {{S_n}}}

does not depend on n, then

{a_{2\,}}

is

Numerical answer

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