If `n in N >1` , then the sum of real part of roots of `z^n=(z+1)^n` is equal to `n/2` b. `((n-1))/2` c. ` n/2` d. `((1-n))/2`

If nin Ngt1, find the sum of real parts of the roots of the equation z^(n)=(z+1)^(n).

The sum of the series sum_(n=1)^oo(n^2+6n+10)/((2n+1)!) is equal to

If n is a natural number gt 2 , such that z^(n) = (z+1)^(n) , then

If z + (1)/(z) = 2 cos theta, z in "C then z"^(2n) - 2z^(n) cos (n theta) is equal to

sum_(n=1)^(99) n! (n^2 + n+1) is equal to :

The arithmetic mean of 1,2,3,...n is (a) (n+1)/(2) (b) (n-1)/(2) (c) (n)/(2)(d)(n)/(2)+1

The sum sum_(n=1)^(10) ( n(2n-1)(2n+1))/( 5) is equal to ___.

The sum of n terms of a series is An^(2)+Bn then the n^(th) term is (A) A(2n-1)-B(B)A(1-2n)+B(C)A(1-2n)-B(D)A(2n-1)+B

If omega is a complex nth root of unity,then sum_(r=1)^(n)(a+b)omega^(r-1) is equal to (n(n+1)a)/(2) b.(nb)/(1+n) c.(na)/(omega-1) d.none of these

The sum of sum_(n=1)^(oo) ""^(n)C_(2) . (3^(n-2))/(n!) equal