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 98/25. Then the sum of the first 21 terms of an AP, whose first term is 10a r, n^(th) term is a n and the common difference is 10 ar², is equal to:

Sequence and Series: JEE Main 2022 Mathematics question

JEE Main 2022 · 27 Jul, Evening shift · Q5265

JEE Main 202227 Jul, Evening shiftMathematicsMediumSequence and Series179× since 2002

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 :