If the coefficients of flour consecutive terms in the expansion of`(1+x)^(n) " are " a,b,c,d` respectively then prove that:
`(a)/(a+b)+(C)/(c+d)=(2b)/(b+c)`

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 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 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)

Find the coefficient of a^(2)b^(3)c^(4)d in the expansion of (a-b-c+d)^(10) .

If a, b and c are three consecutive coefficients terms in the expansion of (1+x)^n , then find n.

If a, b and c are three consecutive coefficients terms in the expansion of (1+x)^n , then find n.

If a ,b ,c ,d are in G.P. prove that: (a b-c d)/(b^2-c^2)=(a+c)/b

If the four consecutive coefficients in any binomial expansion be a, b, c, d, then prove that (i) (a+b)/a , (b+c)/b , (c+d)/c are in H.P. (ii) (bc + ad) (b-c) = 2(ac^2 - b^2d)

If the four consecutive coefficients in any binomial expansion be a, b, c, d, then prove that (i) (a+b)/a , (b+c)/b , (c+d)/c are in H.P. (ii) (bc + ad) (b-c) = 2(ac^2 - b^2d)

If a,b,c,d be four consecutive coefficients in the binomial expansion of (1+x)^(n) , then value of the expression (((b)/(b+c))^(2)-(ac)/((a+b)(c+d))) (where x gt 0 and n in N ) is