If $\$ 1000$ is invested at $6 \%$ interest, compounded annually, then after $n$ years the investment is worth $a_{n}=1000(1.06)^{n}$ dollars.(a) Find the first five terms of the sequence $\left\{a_{n}\right\}$(b) Is the sequence convergent or divergent? Explain.
If $\$ 1000$ is invested at $6 \%$ interest, compounded annually, then after $n$ years the investment is worth $a_{n}=1000(1.06)^{n}$ dollars.(a) Find the first five terms of the sequence $\left\{a_{n}\right\}$(b) Is the sequence convergent or divergent? Explain.
Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 2SE: Describe three ways that a sequence can be defined.
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If $\$ 1000$ is invested at $6 \%$ interest, compounded annually, then after $n$ years the investment is worth $a_{n}=1000(1.06)^{n}$ 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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