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A species of beetle has a 3yr life span 
20070603 

From Gilligan: A species of beetle has a 3yr life span. Half the females in their first year
will survive into the second year the rate from second to 3rd year is 1/3. Each female breeds in the 3rd year of life, producing 6 females and 1 male. No females survive beyond the 3rd year.
Let xsub1,xsub2,xsub3 denote the number of females in the 1st, 2nd and 3rd year.
(a) What will be the number of females in the 1st, 2nd and 3rd years of life next year?
(b)Show that the numbers in each group will return to the same values every 3 years?
(c) Given a total of 3600 beetles, over the 3 age groups, calculate the number in each group? Answered by Penny Nom. 


