Sequences Program

Background:

An arithmetic sequence is a set of elements ordered in some specific way (eg, {2, 5, 8, 11, 14, ...}) in which there is a common difference between successive terms. As in the example above, where 3 is the common difference. Each successive term of the arithmetic sequence is found by adding the common difference to the preceding term.

(Source = http://www.csdsac.org/Curriculum/mathglossary.htm)

Basic Program:

Write a program that allows the user to view arithmetic sequences. In the basic version, you should allow the user to pick the difference between terms. The sequence always starts with the number 1 and ends when the sequence gets above 100.

Example – The user chooses a difference of 12:

1, 13, 25, 37, 49, 61, 73, 85, 97, 109

(Format your output so that a comma separates the elements. It’s a little tricky to print commas between every number, but not after the last one.)

Extension #1:

Try running your program with a difference of zero or less. You should notice that entering zero or a negative number causes your program to become stuck in an infinite loop. Good programmers don’t allow their programs to crash or get stuck like this.

Use a data validation loop to ensure that the user enters a number greater than zero. A data validation loop makes the user enter data until it fits valid criteria.

Extension #2:

After the user has seen one sequence, ask them if they would like to see another. Allow them to enter y/n and react accordingly. Account for uppercase or lowercase letters. (Entering Y is the same as entering y)

Extension #3:

Instead of running sequences from 1 to 100, allow the user to pick their starting number and limit as well. Again, use data validation to ensure that the staring point is not greater than the limit.