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 -

Arrange the expansion of (x^(1//2) + (1)/(2x^(1//4)))^n 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 - (A) 1 (B) 2 (C) 3 (D) more than 3

If |3x - 1| , 3, |x - 3| are the first three terms of an arithmentic progression, then the sum of the first five terms can be

The number of terms in the expansion of (1+2x+x^2)^n 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 number of terms in the expansion of (1+2x +x^2)^20 is 40

Find the first four terms in the expansion of log(1+tan x) in the power of x.

Find the first four terms in the expansion of log(1+tan x) in the power of x.

In the expansion of (e^(x)-1-x)/(x^(2)) is ascending powers of x the fourth term is