The value of `sum_(r=1)^(n) (2r+3)(3r+2)=`

If f(n)=sum_(r=1)^(n) r^(4) , then the value of sum_(r=1)^(n) r(n-r)^(3) is equal to

If D_(r) = |(r,1,(n(n +1))/(2)),(2r -1,4,n^(2)),(2^(r -1),5,2^(n) -1)| , then the value of sum_(r=1)^(n) D_(r) , is

The value of sum_(r = 16)^(30)(r + 2)(r - 3) is equal to :

The value of sum_(r=1)^(3m)(-3)^(r-1).6mC_(2r-1) is

sum_(r=1)^(n)(3^(r)-r)=

If Delta_(r) = |(1,r,2^(r)),(2,n,n^(2)),(n,(n(n_1))/(2),2^(n+1))| , then the value of sum_(r=1)^(n) Delta_(r) is

If the value of sum_(r=0)^(n)(2r+1)(-1)^(r) is a two digit number then the sum of digits is

The value of sum_(r=1)^(oo)(2(2r^(2)+6r+3))/(r^(4)+6r^(3)+11r^(2)+6r) is

If ,y,z2^(r),2xx3^(r),3xx4^(r)2(2^(n)-1),3*(3^(n)-1),4*(4^(n)-1) Find the value of ,sum_(r=1)^(n)Delta_(r)