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Find the sum of first n terms of the fol...

Find the sum of first n terms of the following series :
`1.2^(2) + 2.3^(2) + 3.4^(2)+…`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(12)n(n+1)(n+2)(3n+5)`
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The sum of first n terms of the series 1^(2)+ 2 . 2^(2) + 3^(2) + 2. 4 ^(2) + 5^(2) +… is n/2 (n+1) ^(2) when n is even , When n is odd then the sum will be-