Find the least positive integer n for which `((1+i)/(1-i))^n` = 1

The least positive integer n for which ((1+i)/(1-i))^(n)=(2)/(pi)(sec^(-1)""(1)/(x)+sin^(-1)x) (where, Xne0,-1leXle1andi=sqrt(-1), is

Find the least positive integral value of n, for which ((1-i)/(1+i))^n , where i=sqrt(-1), is purely imaginary with positive imaginary part.

Let, a_1,a_2_a,a_3,…. be in harmonic progression with a_1=5 " and " a_(20)=25 The least positive integer n for which a_n lt 0

Find the sum of : the first n positive integers

Find the numbers of positive integers from 1 to 1000, which are divisible by at least 2, 3, or 5.

The value of the positive integer n for which the quadratic equation sum_(k=1)^n(x+k-1)(x+k)=10n has solutions alpha and alpha+1 for some alpha is

If ((1+i)/(1-i))^m=1 , then find the least positive integral value of m.

If n is a positive integer, then find int x^n dx