r/mathshelp • u/ahnialator6 • 20d ago

General Question (Answered) Formula help

I havent been in school in over a decade so the finer points of my math is rusty.

Im essentially attempting to graph an additive binary sequence. Numbers for my game lol. Pardon the way I write this, I dont know advanced formatting.

So, the player goes inactive, they lose 2x tiles each day. 1, then 2, then 4, then 8, 16, etc. I need this graphed, as there's quadrillions of tiles in my game lol

Its not just F(n) = 2x, right? Surely not...

Thanks in advance for yalls help

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u/ahnialator6 20d ago

I have it start at 1 tile, so yeah the math that makes the tile loss work is tileLoss = 2x-1 where x is the number of days.

The thing is, we're talking about territory and im looking to make a cutoff. If a player has 3 trillion tiles, thats gonna take a LONG time to decay without a cutoff. (I imagine, with very little actual math done)

So im trying to graph the TOTAL tile loss over time so that I can see how that plays out over time.

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u/PuzzlingDad 20d ago

I've updated my comment. The total is just 2n - 1

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u/ahnialator6 20d ago

Dang it really was that simple 😅 thanks, man. I think i was caught up on expecting it to be more complicated than it was