Write the terms $a_1$, $a_2$, $a_3$, and $a_4$ of the following sequence. If the sequence appears to converge, make a conjecture about its limit. If the sequence diverges, explain why.
\(a_n = \frac{1}{17^n}, n = 1, 2, 3, \dots\)
$a_1 = $ (Simplify your answer.)
$a_2 = $ (Simplify your answer.)
$a_3 = $ (Simplify your answer.)
$a_4 = $ (Simplify your answer.)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The sequence appears to converge and $\lim_{n \to \infty} a_n = $
B. The sequence appears to diverge because the terms do not approach a single value.
C. The sequence appears to diverge because the terms increase without bound.