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Test 2

Create the following directories for storing your answers to today's test. Make sure all of the files you create are stored within this directory. 

$ cd ~/cs120/
$ mkdir test2
$ cd test2

You are only allowed to access this course webpage and the Python and Turtle documentation webpages. You are not allowed to access any other websites. You are not allowed to access files from your directory, or files from any other user's directories. Failure to abide by these rules is a violation of Academic Integrity, and will be treated as such.

Question 8

Harmonic Progression

In a file called question_8.py, write a function called harmonic_progression(a, d, n), which computes the sum of the harmonic progression defined by the equation:

$$harmonic\_progression(a, d, n) = \sum_{x = 0}^{n} \frac{1}{a + x \cdot d} = \frac{1}{a} + \frac{1}{a + d} + \frac{1}{a + 2 \cdot d} + \ldots + \frac{1}{a + n \cdot d}$$

Sample Test Cases

Function Call Expected Value
harmonic_progression(1, 0, 1)2.0
harmonic_progression(1, 0, 2)3.0
harmonic_progression(1, 0, 3)4.0
harmonic_progression(1, 1, 2)1.8333333333333333
harmonic_progression(1, 1, 3)2.083333333333333
harmonic_progression(2, 2, 3)1.0416666666666665

(15 points)

Question 9

In a file called question_9.py, write a function called fizz_buzz(some_number). This function should print all of the numbers from 0 to some_number. However, instead of multiples of 3 your program should print "Fizz", and for multiples of 5 your program should print "Buzz". For numbers which are multiples of 3 and 5, print the string "FizzBuzz".

Example Output

>>> fizz_buzz(10)
FizzBuzz
1
2
Fizz
4
Buzz
Fizz
7
8
Fizz

(15 points)

This is a very common job interview question, to weed out people who put "Computer Science" on their resumes, but do not have the technical skill to back that claim up.

Bonus question

In a file called question_bonus.py, write a program which uses the graphics module to display two bouncing balls on the screen. Each of these balls should bounce off the walls, and should bounce off each other.

Sample Video

(5 points)

Submission

When you have finished, create a tar file of your test2 directory. To create a tar file, execute the following commands:

cd ~/cs120
tar czvf test2.tgz test2/

To submit your activity, go to inquire.roanoke.edu. You should see an available assignment called Test #2.