If sum(r=0)^(n) (r)/(""^(n)C(r))= sum(r=...

If `sum_(r=0)^(n) (r)/(""^(n)C_(r))= sum_(r=0)^(n) (n^(2)-3n+3)/(2.""^(n)C_(r))`, then

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If s_(n)=sum_(r=0)^(n)(1)/(.^(n)C_(r))and t_(n)=sum_(r=0)^(n)(r)/(.^(n)C_(r)) , then (t_(n))/(s_(n)) is equal to

If a_(n) = sum_(r=0)^(n) (1)/(""^(n)C_(r)) , find the value of sum_(r=0)^(n) (r)/(""^(n)C_(r))

f(n)=sum_(r=1)^(n) [r^(2)(""^(n)C_(r)-""^(n)C_(r-1))+(2r+1)(""^(n)C_(r ))] , then

Stetemet - 1: sum_(r=0)^(n) r. ""^(n)C_(r) = n 2^(n-1) Statement-2: sum_(r=0)^(n) r. ""^(n)C_(r) x^(r) = n (1 + x )^(n-1) x

Let T_(n) = sum_(r=1)^(n) (n)/(r^(2)-2r.n+2n^(2)), S_(n) = sum_(r=0)^(n)(n)/(r^(2)-2r.n+2n^(2)) then

sum_(r=0)^(n)(""^(n)C_(r))/(r+2) is equal to :

sum_(r=0)^(n)((r+2)/(r+1))*""^(n)C_(r) is equal to :

sum_(r=1)^(n) r^(2)-sum_(r=1)^(n) sum_(r=1)^(n) is equal to

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