sequence and series: 1.3.(2^2)+2.4.(3^2)+3.5.(4^2)+....=?

jkh11 said:
1.3.(2^2)+2.4.(3^2)+3.5.(4^2)+....=?
Click to expand...
What are your thoughts regarding the assignment?

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

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jkh11 said:
1.3.(2^2)+2.4.(3^2)+3.5.(4^2)+....=?
Click to expand...

It's important for us to know what you are learning, or anything else you can say about the context of the question, so we can suggest hints based on what you have seen already.

One approach would be to write the kth term in terms of k, and then use any series you already know.

Another might be to notice the relationship between 1*3 and 2^2, and between 2*4 and 3^2, and so on.

What method to use depends on what you already know about infinite series.

On the other hand, don't forget to ask whether this series converges at all. Are you sure you meant it to be infinite?
 
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