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More Exercises with Counted Loops

Page history last edited by Steve Sweeney 9 years, 3 months ago

 

  1. [medium difficulty] The Fibonacci numbers are a sequence of numbers where the next number in the sequence is the sum of the previous two numbers.  The first number is 0 and the second number is 1.  Write a program that outputs the first N numbers in the sequence, starting with 0.  The user should be asked how many numbers of the sequence to output.

    For Example:  The first 7 numbers are 0 1 1 2 3 5 8

     

    Hint 1 Hint 2 Hint 3
    need two variables to keep track of previous two values, and one to calculate the current number after displaying the current number, update your "previous values"; in a more mathematical form:
    N <-- old_N + really_old_N
    output N
    really_old_N <-- old_N
    old_N <-- N

    		 we already know the first two numbers, so we just display them outside the loop; whichever number the user gives is reduced by two for the loop

     

  2. Output the numbers from -10 to 10.  Beside each number output the square of each number

    Extension:

    (a) In addition, output the square root of each number.  Since you cannot take the square root of a negative number, leave those ones blank or put a message about it.

     

    Hint 1 Hint 2 Hint 3 (ext_a)
    for i : -10 ... 10 inside the loop, output the number on one line and its square on another;now put them on the same line use an "if" statement inside the loop to decide if we're able to take the square root; choose output calculations and output accordingly

     

  3. Modify the program from #3 from (Exercises - Intro to Counted Loops) to allow the user to create a wave pattern.  The user should be asked to input the height of the wave (say from 1 to 10), and the number of waves.

    For example, for wave height = 3 and number of waves = 2, the output might be:

    *

    **

    ***

    ***

    **

    *

    *

    **

    ***

    **

    *

    Extension:

    (a) Modify your algorithm to produce a more interesting wave pattern.  You might want to explore some more complicated mathematical operations.  Remember that you can only output an integer number of symbols.
    (b) A much more interesting, but challenging, wave pattern is horizontal instead of vertical.  For example, the same wave as before, with height = 3 and waves = 2, would look like:

      **    **
     ****  ****
    ************

     

  4. [challenge] Suppose there is an island with two rabbits (male and female).  Every 30 days, the population of rabbits doubles.  Write a program that has the user input the number of days and then calculates the new population.  Use a counted loop.

    Extension:

    (a) Let the user specify the initial population of the island.

    (b) Let the user specify how many days it takes for the population to double.

     

  5. [challenge] Create a stopwatch program that displays minutes and seconds (to one decimal place, or one tenth of a second).  For example, 4:32.7

    Hint:  You will need to use the delay() function in Turing.  You might also want to look into the cls (clear screen) function to improve the look of your output.

     

 

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