 # Singe Horizontal

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1. ## FFT Growth formula : C is the number of levels needed to double the raw stat

Hi everybody ! So last day I thought again about the growth formula, given on https://gamefaqs.gamespot.com/ps/197339-final-fantasy-tactics/faqs/3876 bonus = [current_RX / (C + Lv)] I knew that the lower C is, since it's on the denominator, the best it is for the bonus growth. But, something was bugging me and I had still not found the explanation of this : "...it just so happens that the amount of raw stats you gain on a level up will be a constant." I made my tests, and indeed the bonus was constant. But how did they think about that ? And why is it constant ? First I wrote the formula in sequence : with u0 for starting_RX and un/(C+n) for bonus un+1 = un + bonus => un+1 = un + un/(C + n) Then I started simulating numbers with sheets, and I noticed that everytime the current_RX had doubled from its previous values, it was when the char had gained exactly C levels ! So, When n = C, uC+1 = 2*u0 So, I thought maybe they designed the formula with having that in goal ! To verify it, I started from the definition of an arithmetic sequence : un = u0 + nR (1) And I applied the constraint : When n = C, un = 2u0 2u0=u0 + CR =>u0 = CR =>R = u0/C in (1) : un = u0 + n.u0/C un+1 = u0 + (n+1).u0/C => un+1 = u0 + n.u0/C + u0/C => un+1 = un + u0/C (2) un = u0(1+n/C) => u0 = un/(1+n/C) => u0 = (un.C)/(C+n) (3) Using (2) and (3) un+1 = un + (un.C)/(C+n)/C => un+1 = un + un / (C+n) Here we go ! Conclusion : The growth constant C for a stat is the number of levels needed to double the raw value of that stat : for example in 1.3, knights have 35 PAC, that means for every 35 levels spent in knight, you double your PA. With HPC = 8, every 8 levels, you double your base HP. I think it’s a nice way to see it when planning characters.
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