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The Fibonacci numbers Fn are defined as follows: F0 is 1, F1 is 1, and Fi +2 = Fi + Fi +1 i = 0, 1, 2, …. In other words, each number is the sum of the previous two numbers. The first few Fibonacci numbers are 1, 1, 2, 3, 5, and 8. One place where these numbers occur is as certain population growth rates. If a population has no deaths, then the series shows the size of the population after each time period.

It takes an organism two time periods to mature to reproducing age, and then the organism reproduces once every time period. The formula applies most straightforwardly to asexual reproduction at a rate of one offspring per time period. In any event, the green crud population grows at this rate and has a time period of five days. Hence, if a green crud population starts out as 10 pounds of crud, then in five days, there is still 10 pounds of crud; in ten days, there is 20 pounds of crud, in fifteen days, 30 pounds, in twenty days, 50 pounds, and so forth.

Create a program that takes both the initial size of a green crud population (in pounds) and a number of days as input and outputs the number of pounds of green crud after that many days. Assume that the population size is the same for four days and then increases every fifth day

Option 2: Problem 2

It is difficult to make a budget that spans several years, because prices are not stable. If your company needs 200 pencils per year, you cannot simply use this year’s price as the cost of pencils two years from now. Because of inflation, the cost is likely to be higher than it is today.

The program asks for the cost of the item, the number of years from now that the item will be purchased, and the rate of inflation. The program then outputs the estimated cost of the item after the specified period. Have the user enter the inflation rate as a percentage, such as 5.6 (percent). Your program should then convert the percent to a fraction, such as 0.056, and should use a loop to estimate the price adjusted for inflation.

Attach the JAVA file and the screen shot of the JAVA file running. See How to Submit Assignment folder.