JEE Main 2019 — Sequences and Series Question with Solution
JEE Main 2019 (11 Jan Shift 1)
Question
The sum of an infinite geometric series with positive terms is 3 and the sum of the cubes of its terms is . Then the common ratio of this series is:
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Let the terms of infinite series are
So,
Since, sum of cubes of its terms is that is sum of ,
is
So,
or
As
So,
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 2019, 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.