In his book 536 Puzzles and Curious Problems, Henry Dudeney posed a problem involving cows and reproduction. Suppose a cow produces its first female calf at the age of 2 years and then produces another single female calf every year. Suppose we begin with one female calf in its first year. Assume none die.
a. What is the total number of cows and calves for each of the first 10 years?
b. How many adult cows are there in each of the first 10 years?
c. How many calves are there in each of the first 10 years?
d. Use your observations to predict the number of cows and calves in each of the years 11 through 15.
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