Find the sum of the n terms of the sequence whose general term is given by `a_r=(r^5+6r^4+11r^3+6r^2+4r+6)/(r^4+6r^3+11r^2+6r)`

Find the sum of firs 100 terms of the series whose general term is given by T_(r)=(r^(2)+1)r! .

Find the sum of firs 100 terms of the series whose general term is given by T_(r)=(r^(2)+1)r! .

The sum of infinite terms of the sequence whose r^("th") term is given by t_(r)=(1)/((r+1)(r+3)) is equal to

The sum of infinite terms of the sequence whose r^("th") term is given by t_(r)=(1)/((r+1)(r+3)) is equal to

Find sum_(r=1)^n ( 6r^2 + 4r - 3)

The centre of the circle,r^(2)=2-4r cos theta+6r sin theta is

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

find the sum of the series sum_(r=0)^(n)(-1)^(r)*^(n)C_(r)[(1)/(2^(r))+(3^(r))/(2^(2r))+(7^(r))/(2^(3r))+(15^(r))/(2^(4r))... up to m terms ]

Let r be a root of the equation x^(2)+2x+6=0. The value of (r+2)(r+3)(r+4)(r+5) is