JEE Main 2022MathematicsSequences And SeriesGeometric ProgressionmediumMCQ

JEE Main 2022 — Sequences And Series Question with Solution

From: JEE Main 2022 (Online) 27th July Evening Shift

Question

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 :

Choose an option

Show full solutionCorrect option: A
Correct answer
A

Step-by-step explanation

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

Then, ...... (i)

Then,

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Sequences And Series chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2022, covering the Sequences And Series chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.