Question

PLZZ HELP

Which answer describes the type of sequence? 1/6, 1/2, 3/2, 9/2, ...
neither arithmetic nor geometric
arithmetic
geometric

Answer 1

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.

Answer 2

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:

`(1/2)/(1/6) = 3`

`(3/2)/(1/2) = 3`

`(9/2)/(3/2) = 3`

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

Answer: geometric