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Nth Term of a GP

Find the comm...

Question

Find the common ratio and the general term of the following geometric sequences.
$0.02, 0.006, 0.0018, . . . . .$

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Solution

We are given that the sequence is a G.P.
The common ratio is, $r = \frac{0.006}{0.02} = 0.3$
The first term of the G.P. is $a = 0.02$
The general term of the sequence is, $t_{n} = 0.02 {(0.3)}^{n - 1}$

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