Starting Out with Programming Logic and Design (5th Edition) (What's New in Computer Science)
5th Edition
ISBN: 9780134801155
Author: Tony Gaddis
Publisher: PEARSON
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Textbook Question
Chapter 5, Problem 7TF
The following statement decrements the variable x: Set x = x - 1.
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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 5 Solutions
Starting Out with Programming Logic and Design (5th Edition) (What's New in Computer Science)
Ch. 5.1 - What is a repetition structure?Ch. 5.1 - What is a condition-controlled loop?Ch. 5.1 - What is a count-controlled loop?Ch. 5.2 - What is a loop iteration?Ch. 5.2 - What is the difference between a pretest loop and...Ch. 5.2 - Does the While loop test its condition before or...Ch. 5.2 - Does the Do-While loop test its condition before...Ch. 5.2 - What is an infinite loop?Ch. 5.2 - What is the difference between a Do-While loop and...Ch. 5.3 - What is a counter variable?
Ch. 5.3 - What three actions do count-controlled loops...Ch. 5.3 - When you increment a variable, what are you doing?...Ch. 5.3 - Look at the following pseudocode. If it were a...Ch. 5.3 - Prob. 5.14CPCh. 5.3 - Look at the following pseudocode. If it were a...Ch. 5.3 - Look at the following pseudocode. If it were a...Ch. 5.3 - Look at the following pseudocode. If it were a...Ch. 5.3 - Look at the following pseudocode. If it were a...Ch. 5.4 - A program that calculates the total of a series of...Ch. 5.4 - Prob. 5.20CPCh. 5.4 - Should an accumulator be initialized to any...Ch. 5.4 - Look at the following pseudocode. If it were a...Ch. 5.4 - Look at the following pseudocode. If it were a...Ch. 5.5 - Prob. 5.24CPCh. 5.5 - Why should you take care to choose a unique value...Ch. 5 - A ______ controlled loop uses a true/false...Ch. 5 - A ______ controlled loop repeats a specific number...Ch. 5 - Each repetition of a loop is known as a(n) ______....Ch. 5 - The Whi1e loop is a ______ type of loop. a....Ch. 5 - The Do-Whi1e loop is a ______ type of loop. a....Ch. 5 - The For loop is a ______ type of loop. a. pretest...Ch. 5 - A(n) ______ loop has no way of ending and repeats...Ch. 5 - A _______ loop always executes at least once. a....Ch. 5 - Prob. 9MCCh. 5 - A(n) ______ is a special value that signals when...Ch. 5 - A condition-controlled loop always repeats a...Ch. 5 - The While loop is a pretest loop.Ch. 5 - The Do-While loop is a pretest loop.Ch. 5 - You should not write code that modifies the...Ch. 5 - You cannot display the contents of the counter...Ch. 5 - Prob. 6TFCh. 5 - The following statement decrements the variable x:...Ch. 5 - It is not necessary to initialize accumulator...Ch. 5 - In a nested loop, the inner loop goes through all...Ch. 5 - To calculate the total number of iterations of a...Ch. 5 - Why should you indent the statements in the body...Ch. 5 - Describe the difference between pretest loops and...Ch. 5 - What is a condition-controlled loop?Ch. 5 - What is a count-controlled loop?Ch. 5 - What three actions do count-controlled loops...Ch. 5 - What is an infinite loop? Write the code for an...Ch. 5 - A For loop looks like what other loop in a...Ch. 5 - Why is it critical that accumulator variables are...Ch. 5 - What is the advantage of using a sentinel?Ch. 5 - Prob. 10SACh. 5 - Design a Whi1e loop that lets the user enter a...Ch. 5 - Design a Do-Whi1e loop that asks the user to enter...Ch. 5 - Design a For loop that displays the following set...Ch. 5 - Design a loop that asks the user to enter a...Ch. 5 - Design a For loop that calculates the total of the...Ch. 5 - Design a nested loop that displays 10 rows of #...Ch. 5 - Convert the Whi1e loop in the following code to a...Ch. 5 - Convert the Do-Whi1e loop in the following code to...Ch. 5 - Convert the following Whi1e loop to a For loop:...Ch. 5 - Convert the following For loop to a Whi1e loop:...Ch. 5 - Find the error in the following pseudocode....Ch. 5 - The programmer intended the following pseudocode...Ch. 5 - The programmer intended the following pseudocode...Ch. 5 - Bug Collector A bug collector collects bugs every...Ch. 5 - Calories Burned Running on a particular treadmill...Ch. 5 - Budget Analysis Design a program that asks the...Ch. 5 - Sum of Numbers Design a program with a loop that...Ch. 5 - Tuition Increase At one college, the tuition for a...Ch. 5 - Distance Traveled The distance a vehicle travels...Ch. 5 - Average Rainfall Design a program that uses nested...Ch. 5 - Celsius to Fahrenheit Table Design a program that...Ch. 5 - Pennies for Pay Design a program that calculates...Ch. 5 - Largest and Smallest Design a program with a loop...Ch. 5 - First and Last Design a program that asks the user...Ch. 5 - Calculating the Factorial of a Number In...Ch. 5 - Multiplication Table Design a program that uses...
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