Find the sum 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 the series 1*n+2*(n-1)+3*(n-2)+4*(n-3)+....(n−1).2+n.1"

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 up to n terms :n.1+(n-1).2+(n-2)3+(n-3).4+....

Find sum the series (n)/(1.2*3)+(n-1)/(2.3*4)+(n-2)/(3.4*5)+......... up to n terms..-

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