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

The term independent of x in expansion of

If , then which one of the following is correct ?

What is the sum of all the possible values of x, if the fifth term in the expansion of is 35 and the coefficients of 2nd, 3rd and 4th terms in the expansion are in AP?

The coefficient of in the expansion of is

What is the middle term in the expansion of (3x − y)¹⁰?

The sum of the coefficients in the expansion of is

What is the remainder obtained on dividing by 7?

If C₀, C₁, C₂, ..., C_n are binomial coefficients, then $C_0+C_1+\frac{2^2{C}_2}{3}+...+\frac{2^n{C}_n}{n+1}$ is equal to

If the sum of the coefficients in the expansion of (1 + 5x)ⁿ is 46656, the greatest term in the expansion for $x=\frac{1}{5}$ is

The integral part of is always

If the ratio of the 5th and 6th terms in the expansion of is , then the value of x will be

Among the numbers 55, 78, 135 and 406, which one cannot be the number of terms in the expansion of (x − 2y + 32)ⁿ?

If the difference between the coefficients of the terms preceding and succeeding the term that is independent of x in the expansion of is, then what is the value of α?