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Maths Puzzle
In the sequence,
(1^2) + (2^2 + 3^2 + 4^2) + (5^2 + 6^2 + 7^2 + 8^2?+ 9^2) + . . . where each term has (2n - 1) terms,
Them which term does 40000^2 belongs to?
Read Solution (Total 1)
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- 40000^2 belongs to 200th term.
Sum of n terms = 1+3+5+....+(2n-1) = Sigma(2n-1) = Sigma (2n)- Sigma 1
= 2* Sigma n -n = 2*n*(n+1)/2 -n= n^2+n-n= n^2
here n^2=40000
n=200 - 12 years agoHelpfull: Yes(4) No(0)
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