Answer
The first five terms are $0, \frac{3}{5}, \frac{4}{5}, \frac{15}{17},$ and $\frac{12}{13}.$
Work Step by Step
To find the first five terms of the sequence $a_n = \frac{n^2 - 1}{n^2 + 1}$, we must plug in $n=1, n=2, n=3, n=4,$ and $n=5.$
Hence we see that the first five terms are $0, \frac{3}{5}, \frac{4}{5}, \frac{15}{17},$ and $\frac{12}{13}.$