Find the value of `frac{3.2^(n+1)+2^n}{2^(n+2)-2^(n-1)`

If n in NN , then find the value of i^n+i^(n+1)+i^(n+2)+i^(n+3) .

Find the value of i^n+i^(n+1)+i^(n+2)+i^(n+3) for all n in Ndot

Find the value of i^n+i^(n+1)+i^(n+2)+i^(n+3) for all n in Ndot

Find the value of n if: 2n! n! =(n+1)(n-1)(!(2n-1)!

Find the value of n if: (i) (n+2)! = 12n! (ii) (n+2)! = 60(n-1)! (iii) (n+3)! = 2550 (n+1)! (iv) (n-2)! = 132. (n-4)! .

Find the value of 1/(81^n)-(10)/(81^n)^(2n)C_1+(10^2)/(81^n)^(2n)C_2-(10^3)/(81^n)^(2n)C_3++(10^(2n))/(81^n) .

Find the value of 1/(81^n)-((10)/(81^n))^(2n)C_1+((10^2)/(81^n))^(2n)C_2-((10^3)/(81^n))^(2n)C_3++(10^(2n))/(81^n) .

Find the sum of the series: 1. n+2.(n-1)+3.(n-2)++(n-1). 2+n .1.

Find the sum of the series: 1. n+2.(n-1)+3.(n-2)++(n-1). 2+n .1.

Find the value of the products: (3m-2n)(2m-3n)a t\ m=1,\ n=-1