A little math (anyone help pls)

[PaperCup]

If a young man is reincarnated into another world, and he lives for 100 years in that world, 100 years in another world = 1 hour on earth, Then he died and reincarnated into another world 2, and lived again for 100 years, and 100 years of other world 2 = 1 hour of world 1, Then he died and reincarnated into another world 3, lived 100 years, 100 years of world 3 = 1 hour of world 2, and so on.

The question is, how many worlds have passed after 100 Earth years?

 

[Conqueror_Quack]

If a young man is reincarnated into another world, and he lives for 100 years in that world, 100 years in another world = 1 hour on earth, Then he died and reincarnated into another world 2, and lived again for 100 years, and 100 years of other world 2 = 1 hour of world 1, Then he died and reincarnated into another world 3, lived 100 years, 100 years of world 3 = 1 hour of world 2, and so on.

The question is, how many worlds have passed after 1000 Earth years?

Learn arithmetic progressions and do it yourself asshole

 

[AliceMoonvale]

Infinitely.

If 1 hour in World 1 is only a tiny fraction of an Earth hour, and that subsequently occurs in each new world, that means:

100 years = 876,000 hours

World 1: 1 hour = 876,000 hours (Earth)
World 2: 1 / 876,000 hours
World 3: (1 / 876,000) to the 2nd power, hours (idk how to do the little number things)

Supposedly, after infinitely many worlds, only about 1 hour passes on Earth.

I hate math, but this is easily a problem you created for yourself if you intended it to be a specific amount of time and not infinite.

 

[RepresentingSilence]

 

[thegingernut]

So we're looking at a geometric series. That S∞ given |r| < 1 don't look good. That means as the number of terms approaches infinity the values will add up to the value S∞. Now AliceMoonvale already gave us a value for ratio, that being 1/876k or 0.00000011415525114155251, which doesn't account for leap years but whatevs, those extra 600 hours would not have saved us anyway. α is the initial term is one hour. 1/(1-0.00000011415525114155251)=1.0000011415538146 which is about one hour and four point one milliseconds. No matter how many worlds your protagonist passes through they will never spend longer in worlds within worlds than that.

I'm afraid you have accidentally recreated the paradox of Achilles and the tortoise.

 

[Zirrboy]

To make matters worse you could go as low on the time compression as 100 years being 50 in the previous world an still never spend a hundred years of real world time total (though you'd get arbitrarily close)

 

[Wamba2K]

I'm mostly curious how this could possibly be relevant for a story.