Prelude to Programming
Prelude to Programming
6th Edition
ISBN: 9780133750423
Author: VENIT, Stewart
Publisher: Pearson Education
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Chapter 1, Problem 48RE

Exercises 43-50 refer to the following program: Set Number1 = 4 Set Number1 = Number1 + 1 Set Number2 = 3 Set Number2 = Number1 * Number2

Write Number2

Suppose we want to precede the last statement in this program by a statement that displays the following message:

The result of the computation is:

Write me such a statement.

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(1 point) 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*…
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Chapter 1 Solutions

Prelude to Programming

Ch. 1 - A floating point variable requires __________...Ch. 1 - Roughly speaking, a(n) _____ is any symbol that...Ch. 1 - Prob. 13RECh. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - Prob. 18RECh. 1 - Prob. 19RECh. 1 - Prob. 20RECh. 1 - Prob. 21RECh. 1 - Prob. 22RECh. 1 - Prob. 23RECh. 1 - Prob. 24RECh. 1 - A rational number is any number that can be...Ch. 1 - T A number stored as an integer takes up less...Ch. 1 - If the value of the variable MyAge is 3, then the...Ch. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - Suppose X=3 and Y=4. If all parentheses were...Ch. 1 - Suppose X=14. Give the value of each of the...Ch. 1 - Suppose X=12,Y=6, and Z=5. Give the value of each...Ch. 1 - What is the difference between the following two...Ch. 1 - Given that the variable named Boy =Joey� and the...Ch. 1 - Prob. 35RECh. 1 - Write a pair of statements that prompts for and...Ch. 1 - Write a pair of statements that prompts for and...Ch. 1 - Write a series of statements that does the...Ch. 1 - Write a series of statements that does the...Ch. 1 - Suppose that Number1=15 and Number2=12 are both of...Ch. 1 - If Name1=Marcy,Text1=isnow,Text2=yearsold., and...Ch. 1 - It Character1 and Character2 are single...Ch. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Prob. 49RECh. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Write a list of instructions (like those that...Ch. 1 - In Programming Challenges 2-6, write a program...Ch. 1 - In Programming Challenges 2-6, write a program...Ch. 1 - In Programming Challenges 2-6, write a program...Ch. 1 - In Programming Challenges 2-6, write a program...Ch. 1 - In Programming Challenges 2-6, write a program...

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