JEE Main 2017MathematicsSequences and SeriesEasyMCQ

JEE Main 2017 — Sequences and Series Question with Solution

JEE Main 2017 (09 Apr Online)

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: B
Correct answer
B2

Step-by-step explanation

As a+c=2b,   

Using A.M≥G.M 

⇒a+b+c3≥abc13 

⇒3b3≥813

b≥2 

∴ bmin=2

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About this question

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.