Answer
$a_1 = \frac{1}{10}$
$a_2 = \frac{1}{100}$
$a_3 = \frac{1}{1000}$
$a_4 = \frac{1}{10000}$
Converges. The limit seems to be $0$.
Work Step by Step
$a_n = \frac{1}{10^n}$
$a_1 = \frac{1}{10^1} = \frac{1}{10}$
$a_2 = \frac{1}{10^2} = \frac{1}{100}$
$a_3 = \frac{1}{10^3} = \frac{1}{1000}$
$a_4 = \frac{1}{10^4} = \frac{1}{10000}$
It seems to converge and appear $0$. The values are decreasing as $n$ increases, but given the equation, we know that a negative value is impossible.
