Simulator Rebirth Formula

I just need a formula for rebirth costs. I’ve tried finding some, but the prices just go up to what looks like beyond infinity to me. It’s really simple, but I just am not good a math. Any help is appreciated.

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What do you mean beyond infinity?

I’m not the best with math but you could use a geometric function to calculate how much they need.

C(r) = S*R^r
S = starting gems
R = Rate
r = number of rebirths

C(r) = Cost of gems given the number of rebirths

I forgot to add an example so here:

C(r) = 100(1.5) ^r

The 100 represents how much your first rebirth should cost you so 100. The 1.5 means everytime you rebirth it will be 50℅ more expensive than the previous cost

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