I could use some help with the maths | |

Is there some kind of standard equation for something that makes more of itself that makes more of itself etc. over a given period. For instance, say I built a robot over the course of 1 year whose sole purpose is to build another robot over the course of 1 year that does the same thing while I also built another of said robot. In 10 years with myself included how many robots would there be? | |

I'm not good at math, but I do like Excel. I believe you would have 767 robots at the end of 10 years. Can't help you with the | |

Sounds like you're looking for exponential growth: https://mathbitsnotebook.com/Algebra2/Exponential/EXGrowthDecay.html | |

Interesting... I looked at that and googled it, I can't seem to figure out how to quantify the time value, such as 1 robot built per robot per year, or the results over the time period of 10 years on that equation. I also don't see any means of adding in a limiting factor, like say 1 robot can only make 4 robots before stopping. I do not understand the maths, I've never really been able to, but I find myself wanting to figure out something like the example I posted, ergo this thread. | |

Bah, I was wrong. After ten years you would have 1,023 robots. The expression is simple. It's 2^n-1. The resulting answers should be: 1, 3, 7, 15, 31, 63, 127, 255, 511, 1023 Eh, I - The logic is very straightforward. After the first year you have one robot. Year three you make another robot, and the 3 existing robots also make doubles, for a subtotal of 6. Plus your one that's 7 after three years. And so on. | |

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