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 17, Problem 13PC
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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 17 Solutions
Starting Out with C++: Early Objects (9th Edition)
Ch. 17.1 - Prob. 17.1CPCh. 17.1 - Prob. 17.2CPCh. 17.1 - Prob. 17.3CPCh. 17.1 - Prob. 17.4CPCh. 17.2 - Prob. 17.5CPCh. 17.2 - Prob. 17.6CPCh. 17.2 - Why does the insertNode function shown in this...Ch. 17.2 - Prob. 17.8CPCh. 17.2 - Prob. 17.9CPCh. 17.2 - Prob. 17.10CP
Ch. 17 - Prob. 1RQECh. 17 - Prob. 2RQECh. 17 - Prob. 3RQECh. 17 - Prob. 4RQECh. 17 - Prob. 5RQECh. 17 - Prob. 6RQECh. 17 - Prob. 7RQECh. 17 - Prob. 8RQECh. 17 - Prob. 9RQECh. 17 - Write a function void printSecond(ListNode ptr}...Ch. 17 - Write a function double lastValue(ListNode ptr)...Ch. 17 - Write a function ListNode removeFirst(ListNode...Ch. 17 - Prob. 13RQECh. 17 - Prob. 14RQECh. 17 - Prob. 15RQECh. 17 - Prob. 16RQECh. 17 - Prob. 17RQECh. 17 - Prob. 18RQECh. 17 - Prob. 1PCCh. 17 - Prob. 2PCCh. 17 - Prob. 3PCCh. 17 - Prob. 4PCCh. 17 - Prob. 5PCCh. 17 - Prob. 6PCCh. 17 - Prob. 7PCCh. 17 - Prob. 8PCCh. 17 - Prob. 10PCCh. 17 - Prob. 11PCCh. 17 - Prob. 12PCCh. 17 - Running Back Program 17-11 makes a person run from...Ch. 17 - Read , Sort , Merge Using the ListNode structure...
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