Trying to find the equation for 100x1.15 - one hundred times.

Question

I'm writing a fantasy novel. In it, a character has 100 units of energy at level 1. Each additional level increases their energy by 1.15 or 15% (IE: level 2 has 115 units of energy, and level 3 has 132.25 units of energy.). I want to know a quick method for figuring out how much energy the character will have at level 100.

Answer 1

This is the method that you are looking for:

Units of Energy = 100 x (1.15)ⁿ where n is the level of your character.

So for a level 50 and level 100 character,

100 x (1.15)⁵⁰ ≈ 100 x 1,083 = 108,300

100 x (1.15)¹⁰⁰ ≈ 100 x 1,174,313 = 117,431,300

If this is more than you were anticipating, then you could use another kind of scaling system where instead of getting a 15% increase on every level, the amount gained each level would reduce as the character increases in level.