If `(a^(n)+b^n)/ (a^(n-1) +b^(n-1))` is the A.M. between a and b, then find the value of n.

If n! +(n-1) ! =3, then find the value of n.

If (a^(n + 1) + b^(n + 1))/(a^(n) + b^(n)) is the arithmetic mean between a and b , then n =

If log_(b) n = 2 and log_(n) 2b = 2 , then find the value of b.

If "^(2n+1)P_(n-1):^(2n-1)P_n=3:5, then find the value of ndot

If n is an integer between 0 and 21, then the minimum value of n!(21-n)! is attained for n= 1 b. 10 c. 12 d. 20

Two sets A and B are such that n(A) = m and (B) = k. If the number of subsets A and B is! 144, find the values of m and k.

Find the value of n so that (a^(n+1)+b^(n+1))/(a^(n)+b^n) may be the geometric mean between a and b.

'n' A.M's are inserted between a and 2b, and then between 2a and b. If p^(th) mean in each case is a equal, a/b is equal to