\ \

The annual investment worth after years is .

(a) Find the first five terms of the sequence. \ \

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The first five terms of the sequence are .

(b) Find the sequence is convergent or divergent.

The sequence is .

Ratio test: \ \

The sequence of the is convergent if .

The sequence of the is divergent if .

Replace by in .

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Substitute .

Hence the value of .

Therefore, the sequence is divergent.

(a) The first five terms of the sequence are .

(b) The sequence is divergent.