Question

How do you Find the `n`-th term of the infinite sequence `1,1/4,1/9,1/16,…`?

Answer 1

By observing the first several terms,

`a_1=1=1/1^2`

`a_2=1/4=1/2^2`

`a_3=1/9=1/3^2`

`a_4=1/16=1/4^2`

.
.
.

`a_n=1/n^2`

I hope that this was helpful.