JEE Main 2020MathematicsSequences and SeriesEasyMCQ

JEE Main 2020 — Sequences and Series Question with Solution

JEE Main 2020 (09 Jan Shift 1)

Question

The product 214∙4116∙8148∙161128∙.... to ∞ is equal to:

Choose an option

Show full solutionCorrect option: A
Correct answer
A212

Step-by-step explanation

214+216+348+……….∞
S=214+18+116+…..∞  ....i

∴14+18+116+...∞is an infinite G.P with  a=14, r=12 

S∞=a1-r=12

Using equation i, S=2

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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.