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Arithmetic Sequences
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An Arithmetic Sequence is made by adding some value each time.
Example:
1, 4, 7, 10, 13, 16, 19, 22, 25, ...
This sequence has a difference of 3 between each number.
The pattern is continued by adding 3 to the last number each time.
Example:
3, 8, 13, 18, 23, 28, 33, 38, ...
This sequence has a difference of 5 between each number.
The pattern is continued by adding 5 to the last number each time.
The value-added each time is called the "common difference"
What is the common difference in this example?
19, 27, 35, 43, ...
Answer: The common difference is 8
The common difference could also be negative, like this:
25, 23, 21, 19, 17, 15, ...
This common difference is -2
The pattern is continued by subtracting 2 each time.
Click here to view a video that explains the types of sequences.
An Arithmetic Sequence is made by adding some value each time.
Click here to view a video that explains an introduction to arithmetic sequences.