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If I have 60 individuals that can potentially have 2 children each ...and the offsprings would continue to have 2 children for 8 generations ...how many decendents would I have today ?
 Oct 29, 2013
 #1
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none - you weren't one of the original 60 people
 Oct 29, 2013
 #2
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It's not a riddle ...I want to know the final number
 Oct 30, 2013
 #3
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If I have 60 individuals that can potentially have 2 children each ...and the offsprings would continue to have 2 children for 8 generations ...how many decendents would I have today ?

Ok sorry
I genuinely thought it was a riddle.
I will re-phrase the question to what I now think that you meant.

60 individuals have 2 children each and each of their descendants have 2 children each. How many descendents will be in the 8th generation.

First generation = 60
second gen = 120
third gen = 240
4th = 480
5th = 960
6th = 1920
7th = 3840
8th = 7680

This is an example of a geometric progression (GP for short)
The number of people in the nth generations (sometimes called T n or a n = a*r (n-1)

where 'a' is the original number of people and r is the common ratio which is the multiplying factor needed.
In this case a = 60 and r= 2 and you want T 8
T 8 = 60 * 2 (8-1)= 60 * 2 7 = 60 * 127 = 7680

I hope that this is the answer that you wanted. If not you can ask again.
 Oct 31, 2013

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