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1. I am self studying maths, but I am really confused at the moment. I just don't know how to proceed.

For the first part, I need to come up with some expression for n^5, that expression involving differences.

How do I use the identity to accomplish this?

I will ask more questions about the rest of the question soon, I am just really confused about this first part.

Thanks buddies!
2. (Original post by ybbob)
I am self studying maths, but I am really confused at the moment. I just don't know how to proceed.

For the first part, I need to come up with some expression for n^5, that expression involving differences.

How do I use the identity to accomplish this?

I will ask more questions about the rest of the question soon, I am just really confused about this first part.

Thanks buddies!
Sum both sides of the identity from n=1 to N:
.

Using the method of differences, note that:
.

Therefore:

You should know what the following standard summations are:

Can you see how you can find, from there:

?

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Updated: December 30, 2010
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