Number of terms in the binomial expression of `(x+a)^(n)` is

If n is a positive integer,then the number of terms in the expansion of (x+a)^(n) is

If the coefficients of the three successive terms in the binomial expansion of (1+x)^(n) are in the ratio 1:4.42 then the first of these terms in the expansion is

If w is a non-real cube root of unity x is a real number and n in N such that first three terms in the binomial expansion of (w+x)^(n) are 1,12bar(w) and 69w respectively,then

The second,third and fourth terms in the binomial expansion quad (x+a)^(n) are 240,720 and 1080, respectively.Find x,a and n.

The number of real negavitve terms in the binomial expansion of (1 + ix)^(4n-2) , n in N , n gt 0 , I = sqrt(-1) , is

Find the sum of the coefficient of to middle terms in the binomial expansion of (1+x)^(2n-1)

The number n for which number of dissimilar terms in the expansion of (1+x+x^(2)+x^(3))^(n) is equal to number of terms in the expansion of (x+y+z)^(n) is (nepsilonN)

What is the coefficient of the middle term in the binomial expansion of (2+3x)^(4) ?

The fourth term in the binomial expansion of (x^2 - (1)/(x^3) )^n is independent of x , when n is equal to