Answer
$ a_{1}=1;a_2=\dfrac{-1}{4};a_3=\dfrac{1}{9};a_4=\dfrac{-1}{16};a_5=\dfrac{1}{25}$
Work Step by Step
In order to find the five terms, we will plug in $ n=1$ to $5$ in the given equation.
Since we have a recursive formula, use the first term to get the second term. By plugging in higher values of $n$, we will get larger order terms.
So, the first $5$ terms of the sequence are:
$ a_{1}=1;a_2=\dfrac{-1}{4};a_3=\dfrac{1}{9};a_4=\dfrac{-1}{16};a_5=\dfrac{1}{25}$