Program:

//Include necessary header files

#include <iostream>

#include<cstring>

//Declare namespace

using namespace std;

//Define the main() function

int main()

{

//String declaration

string s;

//Print the statement

cout<<"Enter a line of input:\n";

//Get the input string from the user

�...

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Chapter 8.2, Problem 15STE

Chapter 8.2, Problem 17STE

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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 8 Solutions

Problem Solving with C++ (10th Edition)

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Solution Summary: The author explains how the code declares the string "s1" and's2' within the "main()" function.

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Program: //Include necessary header files #include <iostream> #include<cstring> //Declare namespace using namespace std; //Define the main() function int main() { //String declaration string s; //Print the statement cout<<"Enter a line of input:\n"; //Get the input string from the user �...

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