# What are the next two numbers in the sequence?

What are the next two numbers in the sequence?

0.5 / 0.5 / 1 / 0.5 / 2 / 1.5 / 0.5 / 0.5 / 1 / 0.5 / 2.5 / 2

## 3 Answers

My answer is the same as @StevenWhite's, that is,

0.5 and 0.5,

but I used a somewhat different reasoning:

You get the values by assigning consecutive letters of the alphabet like so:

 c=0.5
d=1
e=1.5
f=2
g=2.5

and then using that assignment to encode the top row of this pattern:

0.5 / 0.5

Reasoning:

The first 4 numbers are the same as 7-10. The next two numbers are higher by 0.5 the second time. Usually in a sequence you look at the previous number or two to determine what is happening, but in this case you have the same sequence of 4 numbers followed by a different number. So it would have to be a very long pattern. In other words, at least the first 6 numbers would have to be given before you can start determining what the next number would be. Regardless of the reasoning behind it, it appears that those first 4 numbers repeat with two increasing numbers between them. I think we would need a longer sequence to determine if that breaks down further on.

Partial Answer

I'm answering here in hopes someone can use what I've learned to solve this thing

The first five numbers have a pattern. Take the 1st number, divide it by the second, and it gives you the next number. ex: .5 / .5 = 1 | .5 / 1 = .5 | 1 / .5 = 2.
I can't seem to figure out why it breaks though.