Q:

Nth Term of Fractions

How do I work out the Nth term of these fractions?
$$1,\frac{1}{4},\frac{1}{9},\frac{1}{16},\frac{1}{25},\dots$$
Would I need to change them all into decimals but that would be quite complicated and then go from there? Yes I can see a pattern, the denominators are squared numbers but what do I do after? I know that answer is going to have a $^2$ in it.

A:

Do you recognize the sequence that the numbers in the denominators form? 1,4,9,16,25,.. is a well known sequence. If you've figured that out, it will be quite easy to write down a direct expression for the nth term of the sequence. 

