13-22 ■ Geometric Sequence? The first four terms of a sequence are given. Determine whether these terms can be the terms of a geometric sequence. If the sequence is geometric, find the common ratio.
, , , ,
Whether the terms in the sequence , , , , are the terms of a geometric sequence and the common ratio of the geometric sequence.
The first four terms of the sequence are,
, , , ,
A geometric sequence is of the form,
, , , , ,
Common ratio is the ratio of any two consecutive terms of the sequence.
It is observed that the common ratio of the sequence is same, so it is a geometric sequence.
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