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Question: Answered & Verified by Expert
132-1+152-1+172-1++1(201)2-1 is equal to
MathematicsSequences and SeriesJEE MainJEE Main 2021 (18 Mar Shift 1)
Options:
  • A 101404
  • B 25101
  • C 101408
  • D 99400
Solution:
2276 Upvotes Verified Answer
The correct answer is: 25101

Given S=132-1+152-1+172-1++1(201)2-1

Tn=1(2n+1)2-1=14(n)(n+1)

Tn=14(n+1)-nn(n+1)=141n-1n+1

 S=n=1100Tn=n=1100141n-1n+1

 S=141-12+12-13+...+1100-1101

S=141-1101=14100101=25101

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