Determine value of sum of terms if `n^(th)` term (`T_n`) is given `n(n+1)(n+4)`

Find the sum to n terms of the series,whose n^(th) terms is given by : n(n+1)(n+4)

Find the sum to n term of the series whose n^(th) term is given by n(n^(2) + 1)

Find the sum to n terms of the series,whose n^(th) terms is given by: (2n-1)^(2)

Find the sum to n terms of the series whose n^(th) term is n(n+1)(n+4)

Find the sum to n terms of the series,whose n^(th) terms is given by: n^(2)+2^(n)

Show that the ratio of the sum of first n terms of a G.P.to the sum of terms from (n+1)^(th) to (2n)^(th) term is (1)/(r^(n))

Find the sum of n terms of the series whose n^(th) term is 18 n^(2) - 6n + 5

Find the sum to n term of the series whose nth term is n(n+1)(n+4)

The absolute value of the sum of first 20 terms of series, if S_(n)=(n+1)/(2) and (T_(n-1))/(T_(n))=(1)/(n^(2))-1 , where n is odd, given S_(n) and T_(n) denotes sum of first n terms and n^(th) terms of the series