Binomial Theore...

The number of real negative terms in the bionomial expansion of $$ (1+ix)^{4n-2} ,n \in N,x>0 $$ is

Find $$7^{th}$$ term of $$\displaystyle \left ( \frac{4x}{5}-\frac{5}{2x} \right )^{9}$$

Find $$28^{th}$$ term of $$\left ( 5x+8y \right )^{30}$$

The number of integral terms in $${(\sqrt {3}+\sqrt [ 8 ]{ 2 } )}^{64}$$ is-

Value of $$\displaystyle \sum_{k=1}^{\infty} \sum _{r=0}^{k} \frac{1}{3^{k}} (^{k}C_{r})$$ is

If the sum of the coefficients in the expansion $$(1-3x+10x^{2} )^{n} $$ is $$a$$ and sum of coefficients in the expansion of $$ (1+x^{2})^{n}$$is b,then

Which term is the constant term in the expansion of $$\left ( 2x\, -\, \frac{7}{3x} \right )^6$$ ?

The tenth term in the expansion of $$\left (2x^2 + \dfrac{1}{x}\right )^{12}$$ is:

The $$7^{th}$$ term from the end in the expansion of $$\left (x-\dfrac {2}{x^2}\right )^{10}$$ is equal to:

If the middle term in the expansion of $$\left (x^2+\dfrac {1}{x}\right )^n$$ is $$924x^6$$, then $$n=$$