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Find a recurrence relation for the number of pairs of chinchillas on the island after n months?

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A young pair of chinchillas (one of each sex) is placed on an island. A pair of chinchillas does not breed until they are 2 months old. After they are 2 months old, each pair of chinchillas produces another pair each month (See pic below). Find a recurrence relation for the number of pairs of chinchillas on the island after n months, assuming that no chinchillas ever die.

Find a recurrence relation for the number of pairs of chinchillas on the island after n months, assuming that no chinchillas ever die.

posted Jul 4, 2017 by Sahana

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