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 sequence is a geometric sequence and the common difference when the sequence is a geometric sequence.
A geometric sequence is the sequence of the form,
Here, is the first term and is the common ratio which is the ratio of two consecutive terms.
Consider the sequence,
Since in the geometric sequence, any two consecutive terms of the sequence ratio be . then,
Calculate the common ratio of second and first terms.
Calculate the common ratio of third and second terms.
Calculate the common ratio of fourth and third terms
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