math [math]Tokyo Institute of Technology, Entrance exam, math, 2019 Problem \(\displaystyle a = \frac{2^8}{3^4}\),consider the number sequence $$b_k = \frac{(k+1)^{k+1}}{a^k k!}\ \ (k ... 2023.01.03 math
math [math]Tokyo Institute of Technology Entrance Exam, Math, 2019 Problem Let \(H_1, \cdots, H_n\) be distinct \(n\)-planes in the space. Suppose that the space is divided by \(H_1, ... 2022.12.31 math