Find the sum of the following geometric series: `a/(1+i)+a/((1+i)^2)+a/((1+i)^3)++a/((1+i)^n)dot`

Find the sum of n terms \ of the series: 1/(1. 2)+1/(2. 3)+1/(3. 4)+dot+ 1/n dot((n+1))

The sum of the first 20 terms of the series (1)/(i)+(2)/(i^(2))+(3)/(i^(3))+.... is :

Find the sum of n terms of the series whose nth terms is (i) n(n-1)(n+1) .

Find the following |((1+i)(1+2i))/((1+3i))|

Evaluate the following define integrals as limit of sums : lim_(n rarroo) sum_(i=1)^(n) (i^(3))/(i^(4)+n^(4))

Evaluate the following define integrals as limit of sums : lim_(n rarroo) sum_(i=1)^(n) 1/n ((n-i)/(n+i))

Evaluate the following define integrals as limit of sums : lim_(n rarr oo) sum_(i=1)^(n) (i)/(n^(2)+i^(2))

Evaluate the following: [(1+i, 0), (2,2-3i)] - [(i, -1),(3+i , 2 i)]

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

The value of 1/(i^n) + 1/(i^(n + 3)) + 1/(i^(n + 2)) + 1/(i^(n + 1)) is :