Starting Out with C++: Early Objects (9th Edition)
9th Edition
ISBN: 9780134400242
Author: Tony Gaddis, Judy Walters, Godfrey Muganda
Publisher: PEARSON
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Chapter 1, Problem 3PC
Flower Garden
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By dragging statements from the left column to the right column below, give a proof by induction of the following statement:
an
=
= 9" - 1 is a solution to the recurrence relation an = 9an-18 with ao
=
: 0.
The correct proof will use 8 of the statements below.
Statements to choose from:
Note that a₁ =
9a0 + 8.
Now assume that P(n) is true for all n ≥ 0.
Your Proof: Put chosen statements in order in this
column and press the Submit Answers button.
Let P(n) be the predicate, "a = 9″ – 1".
απ = 90 − 1 =
Note that
Let P(n) be the predicate, "an
9" - 1 is a
solution to the recurrence relation an = 9an-1 +8
with ao = 0."
-
Now assume that P(k + 1) is true.
Thus P(k) is true for all k.
Thus P(k+1) is true.
Then ak+1
=
9ak +8, so P(k + 1) is true.
= 1 − 1 = 0, as required.
Then = 9k — 1.
ak
Now assume that P(k) is true for an arbitrary
integer k ≥ 1.
By the recurrence relation, we have
ak+1 =
ak+1 =
= 9ak + 8 = 9(9k − 1) + 8
This simplifies to
9k+19+8 = 9k+1 − 1
Then 9k+1 − 1 = 9(9*…
Given the following request to an AI chatbot, which response is more accurate? (You should use Google to verify that the factual claims in each response are accurate.)
Prompt
Is this true? The first recorded use of the phrase "when pigs fly" in print is in a 1616 play by Ben Jonson called "The Devil is an Ass," in which a character says, "When pigs fly, good-night!!"
Response
Response A
Response B
Yes, that's true! The phrase "when pigs fly" indeed appears in Ben Jonson's 1616 play The Devil is an Ass and was said during the second act in a conversation between Fitzdottrel and Pug. The phrase was first used to express skepticism or disbelief, suggesting that something is as unlikely to happen as the fanciful idea of pigs flying. This usage is often cited as one of the earliest instances of the phrase in print.
The claim that the phrase "when pigs fly" was first recorded in Ben Jonson's 1616 play "The Devil is an Ass" is not accurate. There is no evidence from the…
This is for my Computer Organization & Assembly Language Class
Chapter 1 Solutions
Starting Out with C++: Early Objects (9th Edition)
Ch. 1.2 - Why is the computer used by so many different...Ch. 1.2 - List the five major hardware components of a...Ch. 1.2 - Internally, the CPU consists of what two units?Ch. 1.2 - Prob. 1.4CPCh. 1.2 - Prob. 1.5CPCh. 1.2 - Prob. 1.6CPCh. 1.2 - What are the two general categories of software?Ch. 1.2 - Prob. 1.8CPCh. 1.2 - What do you call a program that performs a...Ch. 1.2 - Word processing programs, spreadsheet programs,...
Ch. 1.3 - What is an algorithm?Ch. 1.3 - Why were computer programming languages invented?Ch. 1.3 - Prob. 1.13CPCh. 1.3 - Prob. 1.14CPCh. 1.3 - Prob. 1.15CPCh. 1.3 - Prob. 1.16CPCh. 1.3 - Prob. 1.17CPCh. 1.5 - Describe the difference between a key word and a...Ch. 1.5 - Prob. 1.19CPCh. 1.5 - Prob. 1.20CPCh. 1.5 - Prob. 1.21CPCh. 1.5 - Prob. 1.22CPCh. 1.5 - What must take place in a program before a...Ch. 1.5 - Prob. 1.24CPCh. 1.6 - What four items should you identify when defining...Ch. 1.6 - Prob. 1.26CPCh. 1.6 - Prob. 1.27CPCh. 1.6 - What is pseudocode?Ch. 1.6 - What is the difference between high-level...Ch. 1.6 - Describe what a compiler does with a programs...Ch. 1.6 - Prob. 1.31CPCh. 1.6 - Prob. 1.32CPCh. 1.6 - Prob. 1.33CPCh. 1 - Computers can do many different jobs because they...Ch. 1 - The job of the _____ is to fetch instructions,...Ch. 1 - Internally, the CPU consists of the _____ and the...Ch. 1 - Prob. 4RQECh. 1 - The two general categories of software are _____...Ch. 1 - Prob. 6RQECh. 1 - Since computers cant be programmed in natural...Ch. 1 - _____is the only language computers really...Ch. 1 - Prob. 9RQECh. 1 - Prob. 10RQECh. 1 - A programs ability to run on several different...Ch. 1 - Words that have special meaning in a programming...Ch. 1 - Prob. 13RQECh. 1 - _____ are characters or symbols that perform...Ch. 1 - _____ characters or symbols mark the beginning or...Ch. 1 - Prob. 16RQECh. 1 - A(n) _____ is a named storage location.Ch. 1 - A variable must be _____ before it can be used in...Ch. 1 - The three primary activities of a program are...Ch. 1 - _____ is information a program gathers from the...Ch. 1 - _____ is information a program sends to the...Ch. 1 - A(n) _____ is a diagram that graphically...Ch. 1 - Prob. 23RQECh. 1 - What is the difference between system software and...Ch. 1 - Prob. 25RQECh. 1 - Prob. 26RQECh. 1 - Account Balance Write high-level and detailed...Ch. 1 - Sales Tax Write high-level and detailed pseudocode...Ch. 1 - The variable sum starts with the value 0. Add 10...Ch. 1 - The variable x starts with the value 0. The...Ch. 1 - The variable j starts with the value 10. The...Ch. 1 - The variable a starts with the value 1. The...Ch. 1 - Find the Error 33. The following pseudocode...Ch. 1 - Suppose one of your friends, who paints the...Ch. 1 - Candy Bar Sales Using Program 1-1 as an example,...Ch. 1 - Baseball Costs Using Program 1-1 as an example,...Ch. 1 - Flower Garden Write a program that calculates how...
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