`sum_(s=1)^10sum_(r=0)^(s-1)(2^s-2^r)`

Find the value of sum_(r=1)^(10)sum_(s=1)^(10)tan^(-1)(r/s)dot

The value of sum_(r=1)^(10)sum_(s=1)^(10)tan^(-1)(r/s) is a) 20pi b) 25 pi c) 50pi d) 100pi

If f(n)=sum_(s=1)^(n)sum_(r=s)^(n)C_(r)^(r)C_(s), then f(3)=

If sum_(s=1)^(n){sum_(r=1)^(s)r}=an^(3)+bn^(2)+Cn then

Find the value of sum_(r = 1)^(10) sum_(s = 1)^(10) tan^(-1) ((r)/(s))

Find the value of sum_(r = 1)^(10) sum_(s = 1)^(10) tan^(-1) ((r)/(s))

Find the value of sum_(r = 1)^(10) sum_(s = 1)^(10) tan^(-1) ((r)/(s))

If (1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+….+C_(n)x^(n) , then sum_(r=0)^(n)sum_(s=0)^(n)(r+s)C_(r)C_(s) is equal to :

Find the value of the sum_(r=1)^(n)sum_(s=1)^(n)delta_(rs)2^(r)3^(r) where delta_(rs) is zero if r!=s o* delta_(rs)^( prime),s one if r=s

Prove that sum_(r=0)^(s)sum_(s=1)^(n)C_(s)^(n)C_(r)=3^(n)-1