If the sub-normal at any point on `y = a^(1-n) x^(n)` is of constant length, then find the value of n.

If (n!)/((n-2)!)=56 , find the value of n

If the middle term in the expansion of (x^(2)+1//x)^(n)" is "924x^(6) , then find the value of n.

If the coefficients of three consecutive terms in the expansion of (1+x)^(n) are in the ratio 1:7:42, then find the value of n.

If a_1 = 4 and a_(n+1) = a_(n) + 4n for n ge 1 , then the value of a_(100) is

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

The first three terms in the expansion of (1+ax)^(n)(n ne 0) are 1,6x, and 16x^(2) . Then find the value of a and n.

If the sum of coefficients in the expansion of (x-2y+3z)^(n) is 128, then find the greatest coefficientin the expansion of (1+x)^(n)