" 22.Evaluate "(2^(n)+2^(n-1))/(2^(n+1)-2^(n))

Find the value of ((2^(n)+2^(n-1))/(2^(n+1)-2^(n)))

Evaluate : sum_(n=1)^(15) (2n+1)2^n .

Evaluate sum_(n=1)^n (n^2+n-1)/((n+2)!) .

Evaluate : (a^(2n+1) xx a^((2n+1)(2n-1)))/(a^(n(4n-1)) xx (a^2)^(2n+3)

If A=([x,x],[x,x]) then A^(n)(n in N)= 1) ([2^nx^n,2^nx^n],[2^nx^n,2^nx^n]) 2) ([2^(n-1) x^n,2^(n-1) x^n],[2^(n-1) x^n,2^(n-1) x^n]) 3) I 4) ([2^(n) x^(n-1),2^(n) x^(n-1)],[2^(n) x^(n-1),2^(n) x^(n-1)])

Divide x^(2n)+a^(2^(n-1))x^(2^(n-1))+a^(2^(n))byx^(2^(n-1))-a^(2^(n-2))x^(2^(n-2))+a^(2^(n-1))

Find the value of (-1)^(n)+(-1)^(2n)+(-1)^(2n_1)+(-1)^(4n+2) , where n is any positive and integer.

Find the value of 2^n/((1+i)^(2n))+(1+i)^(2n)/(2^n)

Find the value of prod_(n-2)^(n) (1 - (1)/(n^(2)))

Evaluate lim_(ntooo) n^(-n^(2))[(n+2^(0))(n+2^(-1))(n+2^(-2))...(n+2^(-n+1))]^(n) .