- #1

theintarnets

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**Sequences and Series Problem. Help! Pleeaassee!**

## Homework Statement

I've attached the problem and my work. I'm supposed to express the sum as a fraction of numbers in lowest terms. The original statement was:

2/(1*2*3) + 2/(2*3*4) + 2/(3*4*5) + ... + 2/(100*101*102) and the answer is 2575/5151

In a similar problem, I solved it by decomposing it. So I tried the same thing with this problem, only I'm stuck because I don't know what to do to get to 2575/5151. Can someone please help me?