# Homework Help: Find the following sum

1. Dec 14, 2009

### IniquiTrance

1. The problem statement, all variables and given/known data
$$\sum_{k=1}^{100} (\frac{1}{k} - \frac{1}{k+1})$$

2. Relevant equations

3. The attempt at a solution

Unsure how to approach this...

2. Dec 14, 2009

### rock.freak667

Re: Summation

consider the same series

$$\sum_{k=1}^{n} (\frac{1}{k} - \frac{1}{k+1})$$

Now write out a few terms (k=1,k=2,k=3,k=n-2,k=n-1,k=n) and see what happens.