Absolute Java (6th Edition)
Absolute Java (6th Edition)
6th Edition
ISBN: 9780134041674
Author: Walter Savitch, Kenrick Mock
Publisher: PEARSON
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Chapter 3, Problem 6PP

The Fibonacci numbers F n are defined as follows: F 0 is 1, F 1 is 1 , and F i + 2 = F i + F i + 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 5 days, there is still 10 pounds of crud; in 10 days, there is 20 pounds of crud; in 15 days, 30 pounds; in 20 days, 50 pounds; and so forth. Write 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. Your program should allow the user to repeat this calculation as often as desired.

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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…
The Fibonacci sequence is listed below: The first and second numbers both start at 1. After that, each number in the series is the sum of the two preceding numbers. Here is an example: 1, 1, 2, 3, 5, 8, 13, 21, ... If F(n) is the nth value in the sequence, then this definition can be expressed as F(1) = 1 F(2) = 1 F(3) = 2 F(4) = 3 F(5) = 5 F(6) = 8 F(7) = 13 F(8) = 21 F(n) = F(n - 1) + F(n - 2) for n > 2 Example: Given n with a value of 4F(4) = F(4-1) + F(4-2)F(4) = F(3) + F(2)F(4) = 2 + 1F(4) = 3 The value of F at position n is defined using the value of F at two smaller positions. Using the definition of the Fibonacci sequence, determine the value of F(10) by using the formula and the sequence. Show the terms in the Fibonacci sequence and show your work for the formula.
We usually write numbers in decimal form (or base 10), meaning numbers are composed using 10 different “digits" {0, 1,...,9}. Sometimes though it is useful to write numbers hexadecimal or base 16. Now there are 16 distinct digits that can be used to form numbers: {0, 1, ...,9, A, B, C, D, E, F}. So for example, a 3 digit hexadecimal number might be 2B8. a. How many 4-digit hexadecimals are there in which the first digit is E or F? 8192 b. How many 5-digit hexadecimals start with a letter (A-F) and end with a numeral (0-9)? c. How many 3-digit hexadecimals start with a letter (A-F) or end with a numeral (0-9) (or both)?

Chapter 3 Solutions

Absolute Java (6th Edition)

Ch. 3 - Prob. 11STECh. 3 - Prob. 12STECh. 3 - Prob. 13STECh. 3 - Suppose are two variables that have been given...Ch. 3 - Prob. 15STECh. 3 - Assume that nextword is a String variable that has...Ch. 3 - Write an if-else statement that outputs the word...Ch. 3 - Write an if-else statement that outputs the word...Ch. 3 - Determine the value, true or false, of each of the...Ch. 3 - Does the following sequence produce a division by...Ch. 3 - Prob. 21STECh. 3 - Prob. 22STECh. 3 - What output would be produced in Self-Test...Ch. 3 - What is the output produced by the following? Ch. 3 - What output would be produced in Self-Test...Ch. 3 - Prob. 26STECh. 3 - What is the most important difference between a...Ch. 3 - Prob. 28STECh. 3 - Prob. 29STECh. 3 - What is the output of the following? Ch. 3 - Rewrite the following for statement as a while...Ch. 3 - What is the output of the following loop? Identify...Ch. 3 - What is the output of the following loop? Comment...Ch. 3 - Prob. 34STECh. 3 - For each of the following situations, tell which...Ch. 3 - What is the output of the following? Ch. 3 - What is the output of the following? Ch. 3 - What is the output produced by the following?...Ch. 3 - What is the output produced by the following?...Ch. 3 - Fix the bug in the code in the earlier subsection...Ch. 3 - Add some suitable output statements to the...Ch. 3 - What is the bug in the following code? What do you...Ch. 3 - Prob. 43STECh. 3 - What numbers could be generated by...Ch. 3 - What numbers could be generated by...Ch. 3 - Use the method Math. random to generate a random...Ch. 3 - (This is a version of Programming Project 2.1 from...Ch. 3 - A designer is trying to create a new pattern of...Ch. 3 - Weight is defined as the gravitational force...Ch. 3 - It is difficult to make a budget that spans...Ch. 3 - You have just purchased a stereo system that cost ...Ch. 3 - The Fibonacci numbers Fn are defined as follows:...Ch. 3 - An Armstrong number is an n-digit number that...Ch. 3 - In a certain code language, numerals are each...Ch. 3 - Write a program that calculates the total grade...Ch. 3 - The game of Pig is a simple two-player dice game...Ch. 3 - You have three identical prizes to give away and a...Ch. 3 - Redo or do for the first time Programming Project...Ch. 3 - The file words. txt on the hook's website contains...Ch. 3 - The file words. txt on the book's website contains...Ch. 3 - This problem is based on a "Nifty Assignment" by...Ch. 3 - Prob. 16PP

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