Fundamentals of Information Systems
9th Edition
ISBN: 9781337097536
Author: Ralph Stair, George Reynolds
Publisher: Cengage Learning
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Chapter 3, Problem 5.2CTQ
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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 3 Solutions
Fundamentals of Information Systems
Ch. 3 - Prob. 1LOCh. 3 - Prob. 2LOCh. 3 - Prob. 3LOCh. 3 - Prob. 4LOCh. 3 - Prob. 5LOCh. 3 - Define the role of the database schema, data...Ch. 3 - Prob. 7LOCh. 3 - Prob. 8LOCh. 3 - Prob. 9LOCh. 3 - Prob. 10LO
Ch. 3 - Prob. 11LOCh. 3 - Prob. 12LOCh. 3 - Prob. 13LOCh. 3 - Explain how a NoSOL database is different from an...Ch. 3 - Prob. 15LOCh. 3 - Prob. 16LOCh. 3 - Prob. 1.1RQCh. 3 - Which attribute would you designate as the primary...Ch. 3 - Prob. 1.1CTQCh. 3 - Prob. 1.2CTQCh. 3 - Prob. 2.1RQCh. 3 - Prob. 2.2RQCh. 3 - Prob. 2.1CTQCh. 3 - Prob. 2.2CTQCh. 3 - Prob. 3.1RQCh. 3 - Prob. 3.2RQCh. 3 - What additional questions need to be answered...Ch. 3 - Prob. 3.2CTQCh. 3 - Prob. 4.1RQCh. 3 - Prob. 4.2RQCh. 3 - Prob. 4.1CTQCh. 3 - Prob. 4.2CTQCh. 3 - Prob. 5.1RQCh. 3 - Prob. 5.2RQCh. 3 - Why is it unlikely that a traditional SQL database...Ch. 3 - Prob. 5.2CTQCh. 3 - Prob. 1SATCh. 3 - Prob. 2SATCh. 3 - Prob. 3SATCh. 3 - Prob. 4SATCh. 3 - The ability to combine two or more tables through...Ch. 3 - Prob. 6SATCh. 3 - Prob. 7SATCh. 3 - Prob. 8SATCh. 3 - Prob. 9SATCh. 3 - Prob. 10SATCh. 3 - Prob. 11SATCh. 3 - Prob. 12SATCh. 3 - Prob. 13SATCh. 3 - Prob. 14SATCh. 3 - Prob. 15SATCh. 3 - Prob. 16SATCh. 3 - Prob. 1RQCh. 3 - In the hierarchy of data, what is the difference...Ch. 3 - Prob. 3RQCh. 3 - What is meant by data archiving? Why is this an...Ch. 3 - What is an entity-relationship diagram, and what...Ch. 3 - Identify four basic data manipulations performed...Ch. 3 - Prob. 7RQCh. 3 - Prob. 8RQCh. 3 - Prob. 9RQCh. 3 - Prob. 10RQCh. 3 - Prob. 11RQCh. 3 - Prob. 12RQCh. 3 - Prob. 13RQCh. 3 - Prob. 14RQCh. 3 - Prob. 15RQCh. 3 - Prob. 16RQCh. 3 - Prob. 17RQCh. 3 - Prob. 1DQCh. 3 - Outline some specific steps an organization might...Ch. 3 - SQL databases conform to ACID properties. Briefly...Ch. 3 - Prob. 4DQCh. 3 - Prob. 5DQCh. 3 - Prob. 6DQCh. 3 - Prob. 7DQCh. 3 - Prob. 8DQCh. 3 - Prob. 9DQCh. 3 - Prob. 1PSECh. 3 - A company that provides a movie-streaming...Ch. 3 - Prob. 3PSECh. 3 - Prob. 4PSECh. 3 - Prob. 1WECh. 3 - Prob. 2WECh. 3 - Prob. 3WECh. 3 - Describe the role of a database administrator....Ch. 3 - Prob. 2CECh. 3 - Prob. 1.1CSCh. 3 - Prob. 1.2CSCh. 3 - Prob. 1.3CSCh. 3 - Prob. 2.1CSCh. 3 - Prob. 2.2CSCh. 3 - Prob. 2.3CS
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