Exercises 3034 deal with the Fibonacci sequence { }which is defined as

Chapter 1, Problem 30

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Exercises 3034 deal with the Fibonacci sequence { }which is defined as follows:unununununu17, u18, u19, u20.5un61for n 32u1 1 u2 1and for is the sum of the twopreceding terms, That is,u1 1u2 1u3 u1 uz 1 1 2u4 u2 u3 1 2 3u5 u3 u4 2 3 5and so on.Critical Thinking Leonardo Fibonacci discoveredthe sequence in the thirteenth century inconnection with the following problem: A rabbitcolony begins with one pair of adult rabbits, onemale and one female. Each adult pair producesone pair of babies, one male and one female,every month. Each pair of baby rabbits becomesadult and produces its first offspring at age twomonths. Assuming that no rabbits die, how manyadult pairs of rabbits are in the colony at the endof n months, Hint: It may behelpful to make up a chart listing for each monththe number of adult pairs, the number of one-month-old pairs, and the number of baby pairs.