Find the sum of `n` terms of the series `1+5((4n+1)/(4n-3))+9((4n+1)/(4n-3))^2+13((4n+1)/(4n-3))^3+............`

The sum to n terms of the series 1+ 5 ((4n +1)/(4n - 3)) + 9 ((4n +1) /( 4n -3)) ^(2) + 13 ((4n +1)/( 4n -3)) ^(3) + ((4n + 1 )/( 4n -3)) ^(2)+ ……. is .

find the sum of n terms of the series (4-(1)/(n))+(4-(2)/(n))+(4-(3)/(n))+

find the sum of n terms of the series (4-1/n)+(4-2/n)+(4-3/n)+...........

Find the sum of n terms \ of the series: 1/(1. 2)+1/(2. 3)+1/(3. 4)+dot+ 1/n dot((n+1))

Find the sum of first n terms of the series 1.3 + 2.5 + 3.7 + 4.9 +…..

Find the sum to n terms of the series whose nth term is 4n^(3)+6n^(2)+2n

Find the sum of n terms \ of the series: 1/(1. 2)+1/(2. 3)+1/(3. 4)+...............+1/(n.(n+1))