Simplify the following :
`sum_(n=1)^(100)i^(n)`

Simplify the following: sum_(n-1)^(12) i^(n)

Simplify the following: sum_(n-1)^(10) i^(n + 50)

Simplify the following : (i) i^7 " " (ii) i^(1729) " " (iii) i^(-1924) + i^(2018) " " (iv) sum_(n=1)^(102) i^(n) " " (v) i i^2 i^3 …..i^(40)

Simplify the following: (i)\ (3^n\ xx\ 9^(n+1))/(3^(n-1)\ xx\ 9^(n-1)) ,

Prove the following sum_(i=1)^(n) sum_(j=1)^(n) sum_(k=1)^(n) sum_(l=1)^(n) (1)=n^(4)

Find the value of sum_(n=0)^(100)i^(n!), where i=sqrt(-1)

What is the value of the sum sum_(n=2)^(11) (i^(n)+i^(n+1)), where i=sqrt(-1)?

If i^(2)=-1 then the value of sum_(n=1)^(200)i^(n) is

sum_(j=1)^(n)sum_(i=1)^(n)i=