Series Demystified 6
Algebra
Level
4
\[ \large \sum_{n=1}^{48} \log \left ( \frac {n}{n^2+3n+2} \right )\]
If the summation above equals to \(S\), then \(S+\log(49!)=-\log P.\) Find the value of \(P\).
This is one of my original Series Demystified problems.
by
Sanjeet Raria