Mathematics - Binomial Theorem Question with Solution | TestHub

$P_k=\frac{1-x^{k+1}}{1-x}=1+x+x^2+\cdots +x^k$ $P_1{P}_2{P}_3\dots ..P_n$ is a polynomial of max. power of $x=1+2+\cdots +n=\frac{n(n+1)}{2}$, with no cancellation between terms. No. of terms $=1+\frac{n(n+1)}{2}=\frac{n^2+n+2}{2}$