$A_n=P(1+\frac{r}{12}{)}^n$

$($a$)$ Is $\{A_n\}$ a convergent or divergent sequence?

convergent

divergent

$($b$)$ Find the first $10$ terms of the sequence when $P=$$$20,000$ and $r=0\mathrm{.}045.($Round your answers to two decimal places.$)$

$A_1=$$$20025$

$A_2=$$$20025\mathrm{.}03125$

$A_3=$$$20075\mathrm{.}09370$

$A_4=$$

$A_5=$$

$A_6=$$

$A_7=$$

$A_8=$$

$A_9=$$

$A_{10}=$$

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