In the expansion of `(x^2+1+1/(x^2))^n ,n in N ,` number of terms is`2n+1` coefficient of constant terms is `2^(n-1)` coefficient of `x^(2n-1)i sn` coefficient of `x^2` in `n`

In the expansion of (x^(2)+1+(1)/(x^(2)))^(n),n in N, (a)number of terms is 2n+1 (b)coefficient of constant terms is 2^(n-1) (c)coefficient of x^(2n-1)isn (d)coefficient of x^(2) in n

In the expansion of (x^2+2x+2)^n, nepsilonN (A) coefficient of x=n.2^n (B) coefficient of x^2=n^2.2^(n-1) (C) coefficient of x^3=n^22^(n-2) (D) none of these

In the expansion of (1+x)^(n), the sum of the coefficients of the terms in even positions is 2^(n-1)

In the expansion of (1 + x) (1 + x+ x^(2)) …(1 + x + x^(2) +… +x^(2n)) , the sum of the coefficients is

The number of terms in the expansion of (x^(2)+1+(1)/(x^(2)))^(n),n in N, is:

Consider the expansion of (1 + x)^(2n+1) The sum of the coefficients of all the terms in the expansion is

What is the coefficient of x^(n) in (x^(2) + 2x)^(n-1) ?

Consider the expansion of (1 + x)^(2n+1) The average of the coefficients of the two middle terms in the expansion is

Prove that the coefficients of x^(n) in (1+x)^(2n) is twice the coefficient of x^(n) in (1+x)^(2n-1)