Talk:VPBE/@comment-3974211-20141014033344/@comment-3280107-20141015055028

@Emptylord

This is correct assuming that the difference between stats gained each level is linear (that is:

Stats gained at LVL4 - Stats gained at LVL3 = Stats gained at LVL3 - stats gained at LVL2)

I used Arithmetic progressions in order to get the equation, lets separate the lvl0 base for a moment and we get:

lvl1 = P*0.72

lvl2 = P*0.72 + P*0.7529.. = P*(1.4729..)

lvl3 = P*0.72 + P*0.7529.. + P*0.7858.. = P*(2.2588..)

and so on, if we put P aside aswell we get the sum of an arithmetic progression whose first term is 0.72 (18/25), and the difference is: a18 = a1 + 17d

a18 - a1 = 17d

17d = 1.28 - 0.72

d = 14/425 (I tend to work in fractions when results are ugly)

so, the sum of the Nth first terms in the progression is:

(2*a1 + d(n-1))*n/2

(2*(18/25) + 14n/425 - 14/425)n/2

(598/425 + 14n/425)n/2

299*n/425 + 7n^2/425

now lets add back all what we put aside:

Stats for Nth level are: Base + P*(299*n/425 + 7n^2/425)