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Basically I'm studying maths and in a section called proof and resoning they have introduced mathematical induction. I have tried to follow the examples but I still can't make head nor tail of it really. It makes absolutely no sense to me at all?

The question asked is

Prove SUM(r=1 to n) 1/r(r + 1)(r + 2) is 1/4 - 1/2(n + 1)(n + 2)

Ok where/how do I start? This bears absolutely no resemblance to any of the worked examples at all, the examples are summing squares and cubes but this is a fraction?

Can you see my problem? If I'm absolutely honest I have been on with it for a few days now (yes I said days!) and am about to forget the whole induction thing completely...

Please if anyone can help me have a light bulb moment I will be very grateful!!!

Many thanks

James