Solution

24195

First name
Billy
School
Brighton Secondary School
Country
Age
13

I noticed that the number at the top of the pyramid is always a multiple of 8 divided by a factor of 10. For example, if the root number was 1.01, then the number at the top of the pyramid(or Output) would be 20.808, which is divisible by 0.008. If the root number was 125.52, the output number would be 1016.16, which is divisible by 0.08.

I then made a table(attached) that showed the relationship between the number at the bottom left of the pyramid(or Root), and the Output. Using this table I worked out a formula for the relationship, if you had the Root as a given. This formula was: o=8(n-1)+20. I then expanded and simplified:
o=8(n-1)+20
o=8n-8+20
o=8n+12
Next, to establish the formula to solve for Root if Output was a given, I did the following steps:
o=8n+12
o-12=8n
n=(o-12)/8

So the two formulas are: o=8n+12 and n=(o-12)/8