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Kenneth Rosen Edition 7 Exercise 8.2 Question 45 (Page No. 526)

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Suppose that each pair of a genetically engineered species of rabbits left on an island produces two new pairs of rabbits at the age of $1$ month and six new pairs of rabbits at the age of $2$ months and every month afterward. None of the rabbits ever die or leave the island.

  1. Find a recurrence relation for the number of pairs of rabbits on the island $n$ months after one newborn pair is left on the island.
  2. By solving the recurrence relation in $(A)$ determine the number of pairs of rabbits on the island $n$ months after one pair is left on the island.
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admin asked May 6, 2020
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Kenneth Rosen Edition 7 Exercise 8.2 Question 48 (Page No. 526)
Some linear recurrence relations that do not have constant coefficients can be systematically solved. This is the case for recurrence relations of the form $f (n)a_{n} = g(n)a_{n-1} + h(n).$ Exercises $48-50$ ...
Some linear recurrence relations that do not have constant coefficients can be systematically solved. This is the case for recurrence relations of the form $f (n)a_{n} = ...
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