Respuesta :

DeanR

An arithmetic sequence would have a common difference between successive terms, not the case here.

A geometric sequence has a common ratio; let's check:

[tex] \dfrac{1/2}{1/6} = 3[/tex]

[tex]\dfrac{3/2}{1/2} = 3[/tex]

[tex]\dfrac{9/2}{3/2} = 3[/tex]

That's a common ratio of 3 so as far as we can tell a geometric sequence.

Answer: geometric

PunIntended

The answer is GEOMETRIC.

If you look at the pattern, you will see that each term, multiplied by 3, gets the next term:

1/6 * 3 = 1/2

1/2 * 3 = 3/2

3/2 * 3 = 9/2

And so on...

So, the answer is geometric.

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