JEE Main 2020MathematicsSequences And SeriesGeometric ProgressionmediumMCQ

JEE Main 2020Sequences And Series Question with Solution

From: JEE Main 2020 (Online) 2nd September Morning Slot

Question

The sum of the first three terms of a G.P. is S and their product is 27. Then all such S lie in :

Choose an option

Show full solutionCorrect option: D
Correct answer
D(-, -3] [9, )

Step-by-step explanation

Let three terms of G.P. are , a, ar

= S ...(1)

and a3 = 27

a = 3

= S



As or

or

or

S 9 or S -3

S (-, -3] [9, )

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About this question

This is a previous-year question from JEE Main 2020, 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.