JEE Main 2019MathematicsSequences And SeriesGeometric ProgressionmediumMCQ

JEE Main 2019Sequences And Series Question with Solution

From: JEE Main 2019 (Online) 12th January Morning Slot

Question

The product of three consecutive terms of a G.P. is 512. If 4 is added to each of the first and the second of these terms, the three terms now form an A.P. Then the sum of the original three terms of the given G.P. is :

Choose an option

Show full solutionCorrect option: B
Correct answer
B28

Step-by-step explanation

Let terms are

   = 512   a = 8



24 =

r = 2, r =

r = 2(4, 8, 16)

r = (16, 8, 4)

Sum = 28

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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.