Examples

Geometric sequence: revealing the format

Find and and (written in the geometric sequence format) for the following geometric sequences:

(a) (b)
(c)

Solution

(a) Plug in to obtain . Notice that and so therefore . Then the ‘general term’ is .

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(b) Rewrite the fraction:

Plug that in and observe . From this format we can read off and .

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(c) Rewrite:

From this format we can read off and .