Question

(H + 1) / 10 = B

H = 100
B = 10.1 (Only the rounded down result is applicable.)

Next Cycle

H = 110
B = 11.11 (11)

Next Cycle

H = 121
B = 12.2 (12)

Next Cycle

H = 132
B = 13.3 (13)

In this example. Starting H = 100 and Cycles = 3 the result is B = 13.3.

How do you determine a formula that allows you to pick a starting number for H and the number of cycles and generate B?

Answer 1

Can this be a two part function? Or does it have to be one function?

Answer 2

I do not understand what that means.

Answer 3

As far as I am concerned anything that will generate the answer.

Answer 4

If you're looking for the solutions in parentheses then you are looking for integer division. If you use the floor function then you will obtain what you are looking for. Have you seen the floor function before?

Answer 5

The floor function generates a rounded down number?

Answer 6

Yes, it basically truncates (gets rid of) the decimal.

Answer 7

I am attempting to determine if lets say there were 1072 cycles... what would b equal?

Answer 8

I see what you are saying. Hm.

Answer 9

I am not interested so much in the answer as to what B is as to how to go about solving this problem of generating the formula to determine any answer for B.

Answer 10

I can think of a recursive formula...

Answer 11

I would greatly appreciate that if you could show me how you generated it.