7 `12. Golden RatioFibonacci's Rabbits and Golden RatioSuppose a newly-born pair of rabbits one male one female are put in a field. Rabbits are able to mamateat the age of one month so that at the end of its second month a female can produce another pair ofrabbits. Suppose that our rabbits never die and that the female always produces one new pair (onemale one female) every month from the second month onwards. The puzzle that Fibonacci posed was...At the end of the first month they mate but there is still only 1 pair At the end of the second month the female produces a new pair so now there are 2 pairs of rabbits inthe field.At the end of the third month the original female produces a second pair making 3 pairs in all in thefieldAt the end of the fourth month the original female has produced yet another new pair the female borntwo months ago produces her first pair also making 5 pairs. In this way a sequence of number soformed is called Fibonacci's sequence.Question 1: Complete the following table:MonthsPairs of Rabbit1O (Start of Month)1 End of month)12245678Question 2: How many pairs of rabbits in the 5th month?Answer:Question 3: Write sequence of numbers for 10 months.Answer:if we take the ratio of two successive numbers in Fibonacci's sequence and we divide each by thenumber before it we will find the series of numbers called Golden Ratio.a.Question 4: In what way is the golden ratio related to the Fibonacci sequence?The ratio of number to the number proceeding it in the Fibonacci sequence .b There is no similarityc They were discovered by the same persondThe ratio of number to the number following it in the Fibonacci sequence.Question 5: Find value of Golden Ratio Give explanation?Answer:13. GUESSING THE DAY`
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7 `12. Golden RatioFibonacci's Rabbits and Golden RatioSuppose a newly-born pair of rabbits one male one female are put in a field. Rabbits are able to mamateat the age of one month so that at the end of its second month a female can produce another pair ofrabbits. Suppose that our rabbits never die and that the female always produces one new pair (onemale one female) every month from the second month onwards. The puzzle that Fibonacci posed was...At the end of the first month they mate but there is still only 1 pair At the end of the second month the female produces a new pair so now there are 2 pairs of rabbits inthe field.At the end of the third month the original female produces a second pair making 3 pairs in all in thefieldAt the end of the fourth month the original female has produced yet another new pair the female borntwo months ago produces her first pair also making 5 pairs. In this way a sequence of number soformed is called Fibonacci's sequence.Question 1: Complete the following table:MonthsPairs of Rabbit1O (Start of Month)1 End of month)12245678Question 2: How many pairs of rabbits in the 5th month?Answer:Question 3: Write sequence of numbers for 10 months.Answer:if we take the ratio of two successive numbers in Fibonacci's sequence and we divide each by thenumber before it we will find the series of numbers called Golden Ratio.a.Question 4: In what way is the golden ratio related to the Fibonacci sequence?The ratio of number to the number proceeding it in the Fibonacci sequence .b There is no similarityc They were discovered by the same persondThe ratio of number to the number following it in the Fibonacci sequence.Question 5: Find value of Golden Ratio Give explanation?Answer:13. GUESSING THE DAY`