Answer
$a_{1}=1$,
$a_{2}=\displaystyle \frac{1}{4}$,
$a_{3}=\displaystyle \frac{1}{9}$,
$a_{4}=\displaystyle \frac{1}{16}$,
$a_{100}=\displaystyle \frac{1}{10,000}$.
Work Step by Step
$a_{n}=\displaystyle \frac{1}{n^{2}}$
$a_{1}=\displaystyle \frac{1}{(1)^{2}}=1$,
$a_{2}=\displaystyle \frac{1}{(2)^{2}}=\frac{1}{4}$,
$a_{3}=\displaystyle \frac{1}{(3)^{2}}=\frac{1}{9}$,
$a_{4}=\displaystyle \frac{1}{(4)^{2}}=\frac{1}{16}$,
$a_{100}=\displaystyle \frac{1}{(100)^{2}}=\frac{1}{10,000}$.
