Problem 65E

65. If $\$ 1000$ is invested at $6 \%$ interest, compounded annually, then after $n$ years the investment is worth $a_{s}-1000(1.06)^{\text {c }}$ dollars.

(a) Find the first five terms of the sequence $\left\{a_{n}\right\}$.

(b) Is the sequence convergent or divergent? Explain.

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