Let the sum of an infinite G.P., whose first term is a and the common ratio is r, be 5 . Let the sum of its first five terms be …. Then the sum of the first 21 terms of an AP, whose first term is … term is … and the common difference is …, is equal to :

Option A. Let first term of G.P. be a and common ratio is r

Sequences and Series

JEE Main 2022 · 27 Jul, Evening shift · Q5265

MathematicsMedium178×since 2002Q5265

Let the sum of an infinite G.P., whose first term is a and the common ratio is r, be 5 . Let the sum of its first five terms be

\frac{98}{25}

. Then the sum of the first 21 terms of an AP, whose first term is

10\mathrm{a r}, \mathrm{n}^{\text {th }}

term is

\mathrm{a}_{\mathrm{n}}

and the common difference is

10 \mathrm{ar}^{2}

, is equal to :

Sequences and Series — JEE Main 2022 · 27 Jul, Evening shift · Q5265 · Alror