and F = Fn-1 + Fn-2 for n> 1 In other words, each number is the sum of the two previous numbers in first several Fibonacci numbers are 1, 1, 2, 3, 5, and 8. Interestingly, cer rates are characterized by the Fibonacci numbers. If a population has no gives the size of the population after each time period.

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The nth Fibonacci number F, is defined as follows:
Fo = 1, F1 = 1,
and
F = Fn-1 + Fn-2 for n> 1
In other words, each number is the sum of the two previous numbers in the sequence. Thus, the
first several Fibonacci numbers are 1, 1, 2, 3, 5, and 8. Interestingly, certain population growth
rates are characterized by the Fibonacci numbers. If a population has no deaths, then the series
gives the size of the population after each time period.
Assume that a population of green crud grows at a rate described by the Fibonacci numbers and
has a time period of 5 days. Hence, if a green crud population starts out as 10 pounds of crud,
then after 5 days, there is still 10 pounds of crud; in 10 days, there is 20 pounds of crud; in 15
days, 30 pounds of crud; in 20 days, 50 pounds of crud, and so on.
Write a program that takes both the initial size of a green crud population (in pounds) and some
number of days as input from the keyboard, and computes from that information the size of the
population (in pounds) after the specified number of days. Assume that the population size is the
same for four days and then increases every fifth day. The program must allow the user to repeat
this calculation as long as desired. Please note that zero is a valid number of days for the crud to
grow in which case it would remain at its initial value.
Your output should look something like:
CWindowslaystemiemdee
ease enter the initial size of the green crud: no
m sorry that, value is unrecognized or is negat ive
lease enter the initial size of the green crud: -3
m sorry that value is unrecognized or is negative
Please ențter the initial
Please enter the number of gyà 6ounds of crud growing for 20 days.
Hith an initial population of
the final
Hould you like to cont i
am sorry
şize of the green crud: 10
populat ion would be
pounds
tinue? (y/n)why?
that
answer is not
enter
initial
enter the number of days: 0
the
şize
of
green crud: 10
Hith an initial population of 10 pounds of crud growing for 0 days.
the final population would be 10 pounds
Nould you ike to continue? (y/n)n
Press any key to cont inue . ..
Transcribed Image Text:The nth Fibonacci number F, is defined as follows: Fo = 1, F1 = 1, and F = Fn-1 + Fn-2 for n> 1 In other words, each number is the sum of the two previous numbers in the sequence. Thus, the first several Fibonacci numbers are 1, 1, 2, 3, 5, and 8. Interestingly, certain population growth rates are characterized by the Fibonacci numbers. If a population has no deaths, then the series gives the size of the population after each time period. Assume that a population of green crud grows at a rate described by the Fibonacci numbers and has a time period of 5 days. Hence, if a green crud population starts out as 10 pounds of crud, then after 5 days, there is still 10 pounds of crud; in 10 days, there is 20 pounds of crud; in 15 days, 30 pounds of crud; in 20 days, 50 pounds of crud, and so on. Write a program that takes both the initial size of a green crud population (in pounds) and some number of days as input from the keyboard, and computes from that information the size of the population (in pounds) after the specified number of days. Assume that the population size is the same for four days and then increases every fifth day. The program must allow the user to repeat this calculation as long as desired. Please note that zero is a valid number of days for the crud to grow in which case it would remain at its initial value. Your output should look something like: CWindowslaystemiemdee ease enter the initial size of the green crud: no m sorry that, value is unrecognized or is negat ive lease enter the initial size of the green crud: -3 m sorry that value is unrecognized or is negative Please ențter the initial Please enter the number of gyà 6ounds of crud growing for 20 days. Hith an initial population of the final Hould you like to cont i am sorry şize of the green crud: 10 populat ion would be pounds tinue? (y/n)why? that answer is not enter initial enter the number of days: 0 the şize of green crud: 10 Hith an initial population of 10 pounds of crud growing for 0 days. the final population would be 10 pounds Nould you ike to continue? (y/n)n Press any key to cont inue . ..
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