JEE Main 2014 — Sequences and Series Question with Solution
JEE Main 2014 (11 Apr Online)
Question
The sum of the first 20 terms common between the series and . is
Choose an option
Show full solutionCorrect option: B
Correct answer
B4020
Step-by-step explanation
Given ?
Series (1) , ,
Series (2) , , .
The common terms between both the series are
Above series forms an Arithmetic progression (A.P).
Therefore, first term (a) and common difference
Now,
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This is a previous-year question from JEE Main 2014, 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.