If α Ïµ [– 1, 1] And I(α) Denotes The Term Independent Of x in The Expansion Of  Exceed

If the coefficient of rth, (r + 1)th and (r  + 2)th terms are in A.P., then n is a root of the equation

 then n must be equal to

If in the expansion of (2^1/3 + 3^–1/3)ⁿ, the ratio of the 7^th term from the beginning to the 7^th terms from the end is 1: 6, then n is equal to

If sum of the coefficients of x⁷ and x⁴ in the expansion of 

Coefficient of x⁹ in the expansion of 

If three successive coefficient in the expansion of (1 + x)ⁿ are in A.P., then (n + 2) is

Coefficient of xn in the expression (1 – 2x + 3x² – 4x³ +…)^–n equals

If a = 99¹⁰⁰,  b = 100⁹⁹, then