Let's Break Off This Sum First
Algebra
Level
4
Define the sequence \( t_r \) by
\[ \sum_{r=1}^n t_r = \dfrac{n(n+1)(n+2)(n+3)}8 .\]
Find \( \displaystyle \lim_{n\to\infty} \sum_{r=1}^n \dfrac1{t_r} \).
by
Amar Mavi