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SCalcert$911\mathrm{.}1.$

If $$4,000$ is invested at $6\%$ interest, compounded annually, then after $n$ years the investment is worth $a_n=4,000(1\mathrm{.}06{)}^n$ dollars.

$($a$)$ Find the first five terms of the sequence $\{a_n\}.($Round vour answers to the nearest cent.$)$

$a_1=$$$$

$a_2=$$$$

$a_3=$$$$

$a_4=$$$$

$a_5=$$$$

$($b$)$ Is the sequence convergent or divergent?

convergent.

divergent

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