JEE Main 2023MathematicsSequences And SeriesGeometric ProgressionmediumNumerical

JEE Main 2023Sequences And Series Question with Solution

From: JEE Main 2023 (Online) 24th January Morning Shift

Question

The 4 term of GP is 500 and its common ratio is . Let denote the sum of the first n terms of this GP. If and , then the number of possible values of m is ___________

Enter your answer

Show full solutionCorrect answer: 500
Correct answer
500

Step-by-step explanation





Now,



and





Possible values of is



Total 12 values

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 2023, 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.