In a normal problem solving I run into a sum:
$\sum_{k=1}^n \frac{10}{10+k}$
Let $n=20$ or something like that (not huge). Browsing a list of sums and another, I'm not finding a formula for this one.
I'm wondering is it possible to find a formula for this type of sum, or if this type of sum has to be computed by a computer summing it.