[tex]\frac{1}{n^5}[/tex]
1) Note that each term we have a number so let's write out a diagram to better get it:
[tex]\begin{gathered} a_1----1 \\ a_2----\frac{1}{32} \\ a_3----\frac{1}{243} \\ a_4----\frac{1}{1024} \\ a_5----\frac{1}{3125} \end{gathered}[/tex]
On the left is the term, and on the right the given value:
2) Notice that we can rewrite that sequence in another way:
[tex]\begin{gathered} a_1-------\frac{1}{1^5} \\ a_2-------\frac{1}{2^5} \\ a_3-------\frac{1}{3^5} \\ a_4-------\frac{1}{4^5} \\ a_5-------\frac{1}{5^5} \end{gathered}[/tex]
3) So as we can see the nth term can be written this way:
[tex]a_n-----\frac{1}{n^5}[/tex]
And that's the answer
