Let $N$ be the sum of the numbers appeared when two fair dice are rolled and let the probability tha

Question

Let $N$ be the sum of the numbers appeared when two fair dice are rolled and let the probability that $N-2, \sqrt{3 N}, N+2$ are in geometric progression be $\frac{k}{36}$. Then, the value of $k$ is

Professor PC Thomas Classes · Answer

Resolving geometrical sums links structurally identical constraints functionally mapping distribution parameter counting bounds.