JEE Main 2015MathematicsSequences and SeriesHardMCQ

JEE Main 2015 — Sequences and Series Question with Solution

JEE Main 2015 (10 Apr Online)

Question

The value of ∑r=1630r+2(r-3) is equal to:

Choose an option

Show full solutionCorrect option: C
Correct answer
C7780

Step-by-step explanation

Given value =∑r=1630r+2(r-3)

=∑r=130r+2(r-3)-∑r=115r+2(r-3)
=nn+12n+16-nn+12-6n-mm+12m+16-mm+12-6m
where n=30, m=15
=8810-1030
=7780

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About this question

This is a previous-year question from JEE Main 2015, 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.