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

Find the value of 1+i^2+i^4+i^6++i^(2n)

Value of i^n+i^(n+1)+i^(n+2)+i^(n+3) (where i=sqrt-1 )

IF i^(2) =-1, then the value of sum _(i-1) ^(200) i^(n) is-

Value of i^(n)+i^(n+1)+i^(n+2)+i^(n+3)("when" i=sqrt(-1))-

The value of sum_(n=1)^(13)(i^(n)+i^(n+1)),i=sqrt(-1) is

Find the sum sum_(i=0)^r.^(n_1)C_(r-i) .^(n_2)C_i .

If m, n in R , then the value of I(m,n)=int_(0)^(1) t^(m)(1+t)^(n)dt is -

A coin is tossed. If head appears a fair die is thrown three times otherwise a biased die with probability of obtaining an even number twice as that of an odd number is thrown three times. If (n_(1),n_(2),n_(3)) is an outcome, (1 le n_(1) le6) and is found to satisfy the equation i^(n_(1))+i^(n_(2))+i^(n_(3))=1 , , then the probability that a fair die was thrown is (where i=sqrt(-1))

Find the least positive integral value of n so that ((1+i)/(1-i))^(n)=1 [Hint : Note that ((1+i)/(1-i))and i^(4)=1]

Find the value of underset(0leiltjlen)(sumsum)(-1)^(i-j+1)(.^(n)C_(i)*.^(n)C_(j)) .