JEE Main 2017 — Sequences And Series Question with Solution
From: JEE Main 2017 (Online) 9th April Morning Slot
Question
If three positive numbers a, b and c are in A.P. such that abc = 8, then the minimum possible value of b is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A2
Step-by-step explanation
a, b and c are in AP.
a + c = 2b
As, abc = 8
ac= 8
ac(a + c) = 16 = 4 4
ac = 4 and a + c = 4
Then,
b = = = 2
a + c = 2b
As, abc = 8
ac= 8
ac(a + c) = 16 = 4 4
ac = 4 and a + c = 4
Then,
b = = = 2
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This is a previous-year question from JEE Main 2017, 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.