Answer
a) $\{\frac{4}{3},\frac{9}{8},\frac{16}{15},\frac{25}{24}\}$
b) $1$
Work Step by Step
$a_n = \frac{n^2}{n^2-1}$
Part a)
$a_2 = \frac{2^2}{2^2-1} = \frac{4}{3}$
$a_3 = \frac{3^2}{3^2-1} = \frac{9}{8}$
$a_4 = \frac{4^2}{4^2-1} = \frac{16}{15}$
$a_5 = \frac{5^2}{5^2-1} = \frac{25}{24}$
Part b)
The values of the sequence seems to slope off when $a_n = 1$
