Arithmetic Progression

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Related to Arithmetic Sequences: Geometric sequences

Arithmetic Progression

A sequence of numbers in which the difference between any two succeeding numbers in the sequence is always the same. For example, given the sequence 0, 10, 20, 30, 40, and 50, the progression is arithmetic because the difference between each succeeding number is always 10.
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The same connection can easily be attained with a group of high school students who have not encountered arithmetic sequences prior to this lesson.
I conclude by having these preservice teachers discuss the lesson in contrast to a more traditional approach to teaching arithmetic sequences.
A constructivist lesson to introduce arithmetic sequences with patterns
In general, by showing multiples with a shift, the user can generate any arithmetic sequence.
Conjecturing in a computer microworld: zooming out and zooming in
it as an increasing arithmetic sequence of the differences (+3, +5,
Repeating pattern or number pattern: the distinction is blurred
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