1.

Find the sum of the following series to `n`term: `2^3+4^3+6^3+8^3+ `

Answer» Correct Answer - `2n^(2)(n+1)^(2)`
`T_(n)={2+(n-1)xx2}^(3)=(2n)^(3)=8n^(3)`
`therefore S_(n)=8{sum_(k=1)^(n)k^(3)}=8xx(1)/(4)n^(2)(n+1)^(2)=2n^(2)(n+1)^(2).`


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