The coefficients of three consecutive terms of `(1+x)^(n+5)` are in the ratio 5:10:14. Then `n=` ___________.

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

The coefficients of three consecutive terms in the expansion of (1 + a)^n are are in the ratio 1: 7: 42 Find n.

The coefficient of x^(n) in expansion of (1 + x)(1 - x)^(n) is

Column I, Column II The coefficient of the two consecutive terms in the expansion of (1+x)^n will be equal, then n can be, p. 9 If 15^n+23^n is divided, by 19, then n can be, q. 10 ^10 C_0^(20)C_(10)-^(10)C_1^(18)C_(10)+^(10)C_2^(16)C_(10)- is divisible by 2^n ,t h e nn can be, r. 11 If the coefficients of T_r , T_(r+1),T_(r+2) terms of (1+x)^(14) are in A.P., then r is less than, s. 12

If the coefficient of 4th term in the expansion of (a+b)^n is 56, then n is