Let `n` be a positive integer such that `sinpi/(2n)+cospi/(2n)=(sqrt(n))/2dot` Then `6lt=nlt=8` (b) `4

Let n be a positive integer such that sin (pi/(2n))+cos (pi/(2n))= sqrt(n)/2 then (A) n=6 (B) n=1,2,3,….8 (C) n=5 (D) none of these

Determine a positive integer nlt=5 such that int_0^1e^x(x-1)^n=16-6e

Determine a positive integer nlt=5 such that int_0^1e^x(x-1)^n=16-6e

If n is a positive integer, then ((n+4)!)/((n+7)!)=

If n is an odd positive integer, show that (n^2-1) is divisible by 8.

If n is an odd positive integer, show that (n^2-1) is divisible by 8.

If n is any positive integer, write the value of (i^(4n+1)-i^(4n-1))/2 .

If n ge 1 is a positive integer, then prove that 3^(n) ge 2^(n) + n . 6^((n - 1)/(2))

Let n be positive integer such that, (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+….+a_(2n)x^(2n) , then a_(r) is :

What is the smallest positive integer n for which (1+i)^(2n)=(1-i)^(2n) ?