/sci/ - Science & Math

>>15972871
Hello /sci/, I'm stupid so I can't figure this out. I also tried using chatgpt but it couldn't help me, even though I tried explaining for like half an hour.
I want to make a RPG game, where my character starts with 120 HP at level 1.
For each level, my character gains 45 HP, which increases by additional 45 at every 5th level.
So at level 5 my character should have 290 HP, and at level 6 my character should have 380 HP.
However, I also want my character to have 44955 HP at level 100.
So I need an additional modifier to my HP formula, which increase exponentially (Chatgpt thought it could just add 14055 HP at level 1 and be done with it, that lazy nigger)
Please post a formula that helps me achieve my goal.