STARTING OUT W/PROGRAM.LOGIC...-TEXT
5th Edition
ISBN: 2810022369454
Author: GADDIS
Publisher: PEARSON
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Chapter 11.4, Problem 11.8CP
When 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 11 Solutions
STARTING OUT W/PROGRAM.LOGIC...-TEXT
Ch. 11.1 - What is a menu-driven program?Ch. 11.1 - The items displayed in a menu are often preceded...Ch. 11.1 - What type of structure do you use in a program to...Ch. 11.3 - Explain why most menu-driven programs use a loop...Ch. 11.3 - If a program uses a loop to display a menu...Ch. 11.4 - Prob. 11.6CPCh. 11.4 - Prob. 11.7CPCh. 11.4 - When a program has a lot of items for the user to...Ch. 11 - Prob. 1MCCh. 11 - Prob. 2MC
Ch. 11 - If a menu-driven program uses a loop to redisplay...Ch. 11 - A program that uses a multiple-level menu displays...Ch. 11 - Prob. 5MCCh. 11 - When the user selects an operation from a...Ch. 11 - When the user selects an operation from a(n)...Ch. 11 - Prob. 1TFCh. 11 - It is not usually necessary to validate the user's...Ch. 11 - In most cases, a menu-driven program should be...Ch. 11 - If a menu-driven program does not use a loop to...Ch. 11 - In a single-level menu, the user might see a...Ch. 11 - What type of structure do you use in a program to...Ch. 11 - What ways for validating a users menu selection...Ch. 11 - How can you design a menu-driven program so that...Ch. 11 - When a program has a lot of items for the user to...Ch. 11 - Prob. 1AWCh. 11 - Design a case structure that can be used with the...Ch. 11 - Put the algorithms that you designed for questions...Ch. 11 - Look for ways to modularize the algorithm that you...Ch. 11 - Language Translator Design a program that displays...Ch. 11 - Prob. 2PECh. 11 - Prob. 3PECh. 11 - Astronomy Helper Create an application that...Ch. 11 - Golf Score Modification In Programming Exercise 6...Ch. 11 - Phone Book Program Design a program that you can...Ch. 11 - Prob. 7PE
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