If the numerical coefficient of the pth terms in the expansion of `(2x+3)^6` i s4860, then the following is (are) true (A) p=2 (B) p=3 (C) p=4 (D) p=5

(B) If numerical coefficient of the pth term in the exp.of (2x+3)^(6) is 576 then p is

If the coefficient of pth,(p+1)thand(p+2)th terms in the expansion of (1+x)^(n) are in A.P

If the coefficient of pth,(p+1)thand(p+2)th terms in the expansion of (1+x)^(n) are in A.P

If the coefficient of p^(th) term in the expansion of (1+x)^(n) is p and the coefficient of (p+1)^(th) term is q then n=

If the coefficients of (p+1) th and (P+3) th terms in the expansion of (1+x)^(2n) are equal then prove that n=p+1

If the coefficients of 2^(nd),3^(rd) and 4^( th ) terms in expansion of (1+x)^(n) are in A.P then value of n is

If the coefficient of (p+1) th term in the expansion of (1+x)^(^^)(2n) be equal to that of the (p+3) th term,show that p=n-1

If a> 0 and coefficient of x^(2),x^(3),x^(4) in the expansion of (1 + x//a)^(6) are in A.P., then a equals

Suppose 2-p,p,2-alpha,alpha are the coefficients of four consecutive terms in the expansion of (1+x)^(n) . Then the value of p^(2)-alpha^(2)+6 alpha+2p equals

If in the expansion of (1+x)^(n) ,the coefficients of pth and qth terms are equal, prove that p+q=n+2, where p!=q