JEE Main 2022MathematicsSequences And SeriesSummation Of SeriesmediumMCQ

JEE Main 2022Sequences And Series Question with Solution

From: JEE Main 2022 (Online) 29th June Evening Shift

Question

The sum of the infinite series is equal to :

Choose an option

Show full solutionCorrect option: C
Correct answer
C

Step-by-step explanation

...... (1)

...... (2)

........

....... (3)

Now, multiplying both sides by , we get

...... (4)

Subtract equation (4) from equation (3), we get

......

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.