Hello there, I'm having trouble proving this by induction(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

[itex]\frac{1}{1(2)} + 1\frac{1}{2(3)}+...+\frac{1}{n(n+1)} = \frac{n}{n+1}[/itex]

2. Relevant equations

For the base case n=1

[itex]\frac{1}{1(2)}=\frac{1}{1+1} = \frac{1}{2} = \frac{1}{2}[/itex]

[itex]\frac{k}{k+1} + \frac{1}{(k+1)(k+2)}[/itex] <- the second term would be the next integer

3. The attempt at a solution

[itex]\frac{1}{1(2)}+ \frac{1}{2(3)}+\frac{1}{k(k+1)} + \frac{1}{(k+1)(k+2)} = \frac{k+1}{(k+1)+1} = \frac{k}{k+2} + \frac{1}{k+2}[/itex]

I don't know where to go from here, any help would be appreciated

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Help with induction proof

**Physics Forums | Science Articles, Homework Help, Discussion**