If `(6!)/(n!)=6` then find the value of `n`.

lim_(nrarroo)(1/(n+1)+1/(n+2)+…….+1/(6n))=kln6 , then find the value of k

If .^(n)C_(4),.^(n)C_(5), .^(n)C_(6) are in A.P., then find the value of n.

If cot^(-1)(n/(pi))lt(pi)/(6),ninN then find the minimum value of n

There are n A.M. s between 3 and 29 such that 6th mean : (n - 1) th mean ::3 :5 then find the value of n.

Three large plates are arranged as shown. The charge will flow through the key K if it is closed if (nQ)/(6) find the value of n.

If x = (12 mn)/( m +n) , fnd the value of : (x + 6m)/(x - 6m) + (x + 6n)/(x - 6n)

The first three terms in the expansion of (1+a x)^n(n!=0) are 1,6xa n d16 x^2dot Then find the value of aa n dndot

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

Let alpha and beta be the roots of the equation x^2-6x-2=0 If a_n=alpha^n-beta^n for ngt=0 then find the value of (a_10-2a_8)/(2a_9)

If .^(n+1)C_(r+1):^(n)C_(r):^(n-1)C_(r-1)=11:6:3 , find the values of n and r.