STARTING OUT WITH C++ MPL
9th Edition
ISBN: 9780136673989
Author: GADDIS
Publisher: PEARSON
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Chapter 2, Problem 11PC
Triangle Pattern
Write a
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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 2 Solutions
STARTING OUT WITH C++ MPL
Ch. 2.1 - The following C++ program will not compile because...Ch. 2.1 - On paper, write a program that will display your...Ch. 2.3 - Prob. 2.3CPCh. 2.3 - What output will the following lines of code...Ch. 2.3 - On paper, write a program that will display your...Ch. 2.5 - Which of the following are legal C++ assignment...Ch. 2.5 - List all the variables and literals that appear...Ch. 2.5 - When the above main function runs, what will...Ch. 2.5 - When the following main function runs, what will...Ch. 2.7 - Which of the following are illegal C++ variable...
Ch. 2.7 - Prob. 2.11CPCh. 2.7 - Prob. 2.12CPCh. 2.7 - Prob. 2.13CPCh. 2.7 - How would you combine the following variable...Ch. 2.7 - How would you combine the following variable...Ch. 2.8 - Prob. 2.16CPCh. 2.8 - What will the following code display? int number;...Ch. 2.8 - Prob. 2.18CPCh. 2.10 - Prob. 2.19CPCh. 2.10 - Which of the following is a character literal? 'B'...Ch. 2.10 - Prob. 2.21CPCh. 2.10 - What is wrong with the following program...Ch. 2.10 - Prob. 2.23CPCh. 2.10 - Write a program that stores your name, address,...Ch. 2.15 - Is the following assignment statement valid or...Ch. 2.15 - What is wrong with the following program? How...Ch. 2.15 - What will be assigned to x in each of the...Ch. 2.15 - Prob. 2.28CPCh. 2 - Every complete statement ends with a _____.Ch. 2 - To use cout statements you must include the _____...Ch. 2 - Every C++ program must have a function named...Ch. 2 - Prob. 4RQECh. 2 - A group of statements, such as the body of a...Ch. 2 - 'A', and "Hello World" are all examples of _____.Ch. 2 - 978.65 1012 would be written in E notation as...Ch. 2 - Prob. 8RQECh. 2 - Indicate if each of the following assignment...Ch. 2 - If the variables letter and w have been defined as...Ch. 2 - Indicate if each of the following cout statements...Ch. 2 - Indicate if each of the following cout statements...Ch. 2 - Assume integers x = 4, y = 7, and z = 2. What...Ch. 2 - Assume double variables x = 2.5, y = 7.0, and z =...Ch. 2 - Write a C++ statement that defines the double...Ch. 2 - Write a C++ statement that defines the int...Ch. 2 - Write assignment statements that perform the...Ch. 2 - Write assignment statements that perform the...Ch. 2 - Modify the following program segment so it prints...Ch. 2 - Rewrite the follow statement to use the newline...Ch. 2 - Create detailed pseudocode for a program that...Ch. 2 - Prob. 22RQECh. 2 - Prob. 23RQECh. 2 - Create detailed pseudocode for a program that...Ch. 2 - What will the following programs print on the...Ch. 2 - A) #include iostream using namespace std; int main...Ch. 2 - The following program contains many syntax errors....Ch. 2 - Soft Skills Programmers need good communication...Ch. 2 - Sum of Two Numbers Write a program that stores the...Ch. 2 - Sales Prediction The East Coast sales division of...Ch. 2 - Sales Tax Write a program that computes the total...Ch. 2 - Restaurant Bill Write a program that computes the...Ch. 2 - Miles per Gallon A car holds 16 gallons of...Ch. 2 - Distance per Tank of Gas A car with a 20 gallon...Ch. 2 - Number of Acres One acre of land is equivalent to...Ch. 2 - Land Calculation In the United States, land is...Ch. 2 - Circuit Board Price An electronics company makes...Ch. 2 - Prob. 10PCCh. 2 - Triangle Pattern Write a program that displays the...Ch. 2 - Diamond Pattern Write a program that displays the...Ch. 2 - Pay Period Gross Pay A particular employee earns...Ch. 2 - Basketball Player Height The star player of a high...Ch. 2 - Stock Loss Kathryn bought 750 shares of stock at a...Ch. 2 - Energy Drink Consumption A soft drink company...Ch. 2 - Past Ocean Levels The Earths ocean levels have...Ch. 2 - Future Ocean Levels During the past decade ocean...Ch. 2 - Annual High Temperatures The average July high...Ch. 2 - How Much Paint A particular brand of paint covers...
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