MathDB

2012 BMT Team 2

Source:

January 5, 2022

algebra

Problem Statement

Evaluate

\prod_{k=1}^{254}\log_{k+1}(k + 2)^{u_k}

, where

u_k = \begin{cases}- k & \text{if} \,\, k \,\, \text{is odd}\\ \frac{1}{k-1} & \text{if} \,\, k \,\, \text{is even} \end{cases}