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Sagot :
Answer:
• Geometric Sequence.
,• Common ratio = 1/3
Explanation:
Before we begin, a little background:
• An ,arithmetic sequence, is a sequence in which the next term is derived by the ,addition of a constant, to the previous term. The constant added is called the ,common difference,.
,• A ,geometric sequence, is a sequence in which the next term is derived by the ,multiplication ,of the previous term by a constant. The constant is called the ,common ratio,.
Given the sequence:
[tex]18,6,2,\cdots[/tex]Divide the next term by the previous term:
[tex]\begin{gathered} \frac{6}{18}=\frac{1}{3} \\ \frac{2}{6}=\frac{1}{3} \end{gathered}[/tex]We see that the next term is derived by multiplying the next term by 1/3.
Therefore:
• The sequence is a geometric sequence.
,• The common ratio is 1/3.
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