1
h05
CS16 S17
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h05: Chapter 3: Loops

ready? assigned due points
true Mon 04/17 02:00PM Mon 04/24 02:00PM

You may collaborate on this homework with AT MOST one person, an optional "homework buddy".

MAY ONLY BE TURNED IN IN THE LECTURE/LAB LISTED ABOVE AS THE DUE DATE,
OR IF APPLICABLE, SUBMITTED ON GRADESCOPE. There is NO MAKEUP for missed assignments;
in place of that, we drop the three lowest scores (if you have zeros, those are the three lowest scores.)

Please:

  • No Staples.
  • No Paperclips.
  • No folded down corners.

Complete the reading of Chapter 3 and additionally read Chapter 4 section 4.1-4.2 (If you do not have a copy of the textbook yet, there is one on reserve at the library under “COMP000-STAFF - Permanent Reserve”).

PLEASE MARK YOUR HOMEWORK CLEARLY, REGARDLESS OF IF YOU WRITE IT OUT IN INK OR PENCIL!

    1. (2 pts) What is a runtime error in C++?
    2. (6 pts) Use precedence rules to re-write the following expressions:
    (i) x / 4 - 3 == 1 && 6 * x + y > 0
    (ii) a / b * b < 0.5 || --flag >= 0
    (iii) z * m + n / v >= 5 && b + c - d != 0 || f < g
    3. (4 pts) What is the output of the following statements? 
    int p = 5;
while (--p > 0)
     cout << p << " ";
    4. (4 pts) What is the output of the following statements? 
    int s = 1;
do
     cout << s << " ";
while (s++ <= 5);
    5. (4 pts) Same question as above, but the last statement now reads: 
    while (++s <= 5);
    6. (10 pts) Write a function named 'check_descending' that takes three arguments of type int and returns true if the arguments are in descending order; otherwise, it returns false. You can use any type of C++ statements that we've gone over in class so far to accomplish this goal.
    7. (6 pts) The infinite series: s = 1 + (2/3) + (4/9) + (8/27) + .... is a geometric series that converges to a whole rational number (i.e. like 2 or 3 or 4). Below is an unfinished C++ program that will calculate s to the kth position (so, for example, if k = 1, then s = 1 + (2/3) = 1.666...). Fill in the missing code: 
    #include <iostream>
#include <cmath>
using namespace std;

int main(){
    double s(0.0);
    int k(0);
    cout << "Enter k: ";
    cin >> k;
    for (____________________________________________________) { 
    
        s = ____________________________________________________; }
        
    cout << "Series converges to: " << s << endl;
    return 0;
}
    8. (8 pts) Compile and run the above completed program. What is the value of s if k = 6? if k = 19 ? What whole rational number does s look like it's approaching? What is the smallest value of k for s to be shown by the program as exactly equal to that whole number?