6. A genetically engineered species of rabbit is left on an island. Each pair of rabbits producestwo new pairs of rabbits at the age of 1 month and six new pairs of rabbits at the age of 2months and every month afterward. None of the rabbits ever die or leave the island.(a) Make a table to determine how many pairs of rabbits are on the island after n months,where 0 ≤ n ≤ 5.(b) It can be shown that a recurrence relation for the number of pairs of rabbits on the islandafter n months is given by an = 3an-1 + 4an-2, n ≥ 2. Verify that this recurrencerelation is correct by checking 0 ≤ n ≤ 5 and observing that it matches your answer topart (a)(c) Solve the recurrence relation given in part (b).(d) Find the number of rabbits on the island 2 years after the first pair is left.

Answered: Image /qna-images/answer/1457e2d5-b2aa-480b-b707-90aceacee454.jpg

Answered: A genetically engineered species of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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