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bixtya [17]
3 years ago
15

Which answer describes the type of sequence?

Mathematics
1 answer:
jeyben [28]3 years ago
6 0

Answer:

The sequence is a geometric sequence.


Step-by-step explanation:


The given sequence is

\frac{1}{6},\frac{1}{2},\frac{3}{2},\frac{9}{2},...



We examine to see whether there is a common difference or a common ratio.


We first check for a common difference by subtracting the subsequent terms.


\frac{1}{2}-\frac{1}{6}=\frac{2}{3}



\frac{3}{2}-\frac{1}{2}=1


The two differences are not equal.


Hence the sequence is not arithmetic.




We now look out for a common ratio.


\frac{1}{2}\div \frac{1}{6}=3



\frac{3}{2}\div \frac{1}{2}=3




\frac{9}{2}\div \frac{3}{2}=3



Since there is a common ratio of 3, the sequence is geometric.








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