In the expansion of $(1 + x)^5$,the sum of the coefficients of the terms is

If the roots of $x^5-ax^4+bx^3-cx^2+dx-1=0$ are all positive such that their arithmetic mean and geometric mean are equal,then $a+b+c+d=$

Which is larger: $99^{50} + 100^{50}$ or $101^{50}$?

The coefficient of $x^n$ in the expansion of $(1 + x + x^2 + ....)^{-n}$ is

The sum of the coefficients in the expansion of $(1 + x - 3x^2)^{2163}$ will be

If $b$ is very small as compared to the value of $a$,so that the cube and other higher powers of $\frac{b}{a}$ can be neglected in the identity $\frac{1}{a-b}+\frac{1}{a-2b}+\frac{1}{a-3b}+\ldots+\frac{1}{a-nb}=\alpha n+\beta n^2+\gamma n^3$,then the value of $\gamma$ is: