JEE Main 2012 — Sequences And Series Question with Solution
From: AIEEE 2012
Question
Statement-1: The sum of the series 1 + (1 + 2 + 4) + (4 + 6 + 9) + (9 + 12 + 16) +.....+ (361 + 380 + 400) is 8000.
Statement-2: , for any natural number n.
Choose an option
Show full solutionCorrect option: B
Correct answer
BStatement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
Step-by-step explanation
th term of the given series
which is a natural number.
Now, put
.
.
.
Now,
Hence, both the given statements are true and statement supports statement
which is a natural number.
Now, put
.
.
.
Now,
Hence, both the given statements are true and statement supports statement
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This is a previous-year question from JEE Main 2012, 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.