Show that the middle term in the expansion of `(1+x)^(2n)` is `(1.3.5…(2n-1))/(n!) 2^n.x^n`, where n is a positive integer.

Show that the middle term in the expansion of (x-1/x)^(2n) is (1xx3xx5xx....xx(2n-1))/(n!) xx(-2)^(n)

Find the middle term in expansion of : (1-2x+x^(2))^(n)

Middle term in the expansion (x+(1)/(x))^(2n) is ........... .

If the fourth term in the expansion of (px+1/x)^n is 5/2 , then (n,p)=

The sum of coefficients of the two middle terms in the expansion of (1+x)^(2n-1) is equal to (2n-1)C_(n)

Prove that the function f(x)= x^(n) is continuous at x= n, where n is a positive integer

Show that the coefficient of the middle term in the expansion of (1+x)^(2n) is equal to the sum of the coefficients of two middle terms in the expansion of (1 + x)^(2n-1)

if A =[(3,-4),( 1,-1)] then prove that A^n = [ ( 1+2n, -4n),( n,1-2n)] where n is any positive integer .

if A =[(3,-4),( 1,-1)] then prove that A^n = [ ( 1+2n, -4n),( n,1-2n)] where n is any positive integer .

If A=[{:(3,-4),(1,-1):}] , then prove that A^(n)=[{:(1+2n,-4n),(n,1-2n):}] where n is any positive integer .