* HELP* Math help - in just 18 months, the female cat can have 2000 descendants?

Feb 2015
1
0
ny
* HELP* Math help - in just 18 months, the female cat can have 2000 descendants?
 

Country Boy

Math Team
Jan 2015
3,261
899
Alabama
Do you have a question? Like "is this true?".

Assuming the cat is already at least 4 months old, in two months she can have a litter. we are told "number of kittens in a litter, 4 to 6" so lets take 5 as an average. She now has 5 "descendants". Two months later, now a total of 4 months, she has another litter of 5 kittens. She now has 20 "descendants". But each of the first five kittens now is pregnant. In another two months, total 6 months, she and each of those first five kittens has a litter of 5 kittens, for a total of 25+ 5= 30 new kittens. She now has 20+ 30= 50 "descendants". In another two months, total 8 months, she, each of those first 5 kittens, and her second litter of 5 kittens all have kittens. That is now 5+ 25+ 25= 55 new kittens for a total of 55+ 50= 105 "descendants".

That's the idea. As the months go on, the number of descendants will increase exponentially.
 

skipjack

Forum Staff
Dec 2006
21,387
2,410
There isn't enough information, as it's not stated how often any male kittens reproduce.
 

CRGreathouse

Forum Staff
Nov 2006
16,046
936
UTC -5
There isn't enough information, as it's not stated how often any male kittens reproduce.
So one solution might be that the cat has a single male kitten, which then sires 400 litters with other cats, giving you the whole 2000 in a few months. :eek: