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If all of the Duggar children (there are 17 of them) reproduce at the same rate that their parents do, and their children do likewise for 10 generations, and asuuming that they are not marrying within the family, will there be over a trillion Duggars in 10 generations??

2007-10-02 09:27:29 · 6 answers · asked by ZombieTrix 2012 6 in Society & Culture Religion & Spirituality

6 answers

yes

you must know this scenario is very unlikely though

2007-10-02 09:31:55 · answer #1 · answered by Sheed 4 · 0 0

1st generation = 17
2nd gen = 17+ 17*17= 17(1+17)
3rd gen = 17 + 17**2 + 17*17*17= 17(1+17+17**2)
10th gen = 17 + 17**2+ 17***3...........
=17(1+17+17**2+17***3+17****4...)
= 0ver a trillion
Moreover, if they are not marrying from the same family, almost equal number of Duggars..one for each of opposite sex should also be available. If not they will remain 17 only.

2007-10-02 21:29:04 · answer #2 · answered by Gee Waman 6 · 0 0

The tenth generation would consist of 17^10 members. 17^10 > 10^9, which is a trillion.

2007-10-02 16:34:02 · answer #3 · answered by Doc Occam 7 · 1 0

yes, approximately 2.016 x 10^12. I'm pretty sure the earth would have a hard time supporting those descendents plus those of everyone else that lived during that time.

2007-10-02 16:42:18 · answer #4 · answered by Anonymous · 1 0

replace Duggar with Martinez, and you're starting to get the picture.

2007-10-02 16:35:26 · answer #5 · answered by Anonymous · 0 0

17**10 = 2,015,993,900,449 in the 10th generation
In this US, this is 2 trillion plus change
In the UK, this is 2 billion plus change

2007-10-02 16:33:51 · answer #6 · answered by Anonymous · 2 0

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