The column on the left is the original sequence. The column on the right is a sequence for the differences in-between numbers. How can I find the constant in-between the numbers? Both columns should have the same result.
I know something simple like
2, 4, 6, 8 would be +2.
and that
3, 5, 9, 17, 33, would be *2-1.
However this is beyond me, other than I know it is *2-x and that x seems to double each time as well.
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What generated the sequence? Or what is the sequence supposed to be?
what was the original question?
you can always try to fit a polynomial and see what happens
It's the experience points needed to level up in a game. Each entry in the left column is the number of total points needed for the next level. The column on the right in the number of points needed within that level to get to the next.
Just a personal project as I deconstruct the game.
oh i see, it's a recurrence. never mind about the polynomial. it would help to see the original question though
No real original question. This is just data I've complied from various level up screens as I've hacked into the code to allow instant leveling up in order to see how much experience is needed for future levels.
Each next lvl seems to require about 92% more experience than the last one is the only pattern i see so far
Looking at it yes the pattern seems to be 1.92x increaments in exp for next lvl always rounding down (rounding down on perfect whole numbers too it seems).
That's pretty much what I'm looking for. 91.9197% is what I have so far for that first level. I'm trying to get it as accurate as possible as if you round with this sort of equation your result becomes further off further down the sequence.
So far the only other thing I can think to try is for the first example is.
3000*2=6000-5759=241 First example is *2+241.
Then
5759*2=11518-11057=461 so *2+461
etc.
I figured there was a fixed percentage. Could you show how you arrived at 92%? I know it's not exactly 92% and would like to narrow that down.