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. Many students suggest that typically a lesson on sequences begins with a formula that should be memorised.
A constructivist lesson to introduce arithmetic sequences with patterns
In general, by showing multiples with a shift, the user can generate any arithmetic sequence. The input for show multiples of corresponds to the common difference while the initial term is the sum of the inputs to show multiples and shift by in the Natural world.
Conjecturing in a computer microworld: zooming out and zooming in
additive structure of arithmetic sequences. Proceedings of the 25th
Repeating pattern or number pattern: the distinction is blurred
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