If a. b, c and d are the coefficients of 2nd, 3rd, 4th and 5th terms respectively in the binomial expansion of `(1+x)^n`, then prove that `a/(a+b) + c/(c+d) = 2b/(b+c)`

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

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

If the coefficients of 2nd,3rd and 4th terms in the expansion of (1+x)^(n),nN are in A.P. then n=7b.14c.2d .none of these

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

Given positive integers r gt 1, n gt 2 and that the coefficient of (3rd)th and (r+2)th terms in the binomial expansion of (1+x)^(2n) are equal. Then (a) n=2r (b) n=2r+1 (c) n=3r (d) non of these

if a,b,c and d are the coefficient of four consecutive terms in the expansion of (1+x)^(n) then (a)/(a+b)+(C) /(c+d)=?

If a,b,c and d are any four consecutive coefficients in the expansion of (1 + x)^(n) , then prove that (i) (a) /(a+ b) + (c)/(b+c) = (2b)/(b+c) (ii) ((b)/(b+c))^(2) gt (ac)/((a + b)(c + d)), "if " x gt 0 .

If a:b = 3:5, and sum of the coefficients of 5^(th) and 6^(th) terms in the expansion of (a-b)^(n) is zero, then n=_________