JEE Main 2002MathematicsSequences And SeriesGeometric ProgressionmediumMCQ

JEE Main 2002Sequences And Series Question with Solution

From: AIEEE 2002

Question

Sum of infinite number of terms of GP is 20 and sum of their square is 100. The common ratio of GP is

Choose an option

Show full solutionCorrect option: B
Correct answer
B3/5

Step-by-step explanation

Let first team of and common ratio of

Then is

Given



Also to





From

From we get







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About this question

This is a previous-year question from JEE Main 2002, 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.