The expansion of `(sqrt(x)+(1)/(2 root(4)(x)))^(n)` is arranged in decreasing powers of x. If coefficient of first three terms from an A.P. then in expansion,l the integral powers of x are :

Arrange the expansion of (x^(1//2) + (1)/(2x^(1//4))) in decreasing powers of x. Suppose the coefficient of the first three terms form an arithemetic progression. Then the number of terms in the expression having integer powers of x is -

Consider the binomial expansion of (sqrt(x)+(1/(2x^(1/4))))^n n in NN , where the terms of the expansion are written in decreasing powers of x. If the coefficients of the first three terms form an arithmetic progression then the statement(s) which hold good is(are) (A) total number of terms in the expansion of the binomial is 8 (B) number of terms in the expansion with integral power of x is 3 (C) there is no term in the expansion which is independent of x (D) fourth and fifth are the middle terms of the expansion

The coefficient of the middle term in the expansion of (1+x)^40 is

Find the first three terms in the expansion of [ 2+ x ( 3+ 4x)]^(5) in ascending powers of x .

The number of terms in the expansion of (1+2x+x^2)^(20) when expanded in decreasing powers of x is

The sum of the coefficients of middle terms in the expansion of (1+x)^(2n-1)

Write the coefficient of the middle term in the expansion of (1+x)^(2n) .

If (x + 1), 3x and (4x + 2) are first three terms of an A.P. then its 5^(th) term is

The coefficient of x^(n) in the expansion of e^(a+bx) in power of x is

Find the sum of the last 30 coefficients in the expansion of (1+x)^(59), when expanded in ascending powers of x .