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The sum sum(n=1)^(10) ( n(2n-1)(2n+1))/...

The sum ` sum_(n=1)^(10) ( n(2n-1)(2n+1))/( 5) ` is equal to _______.

Text Solution

Verified by Experts

The correct Answer is:
2409
`1/5(sum_(n=1)^(10)4n^3-sum_(n=1)^(10)n)=1/5((n(n+1))^(2)-(n(n+1))/2)`
Put `n = 10 = 2409`
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