A sequence in math is a series of values or objects that occur in a specific order and are related in a specific way (patterns). Your job is to determine how that specific order occurs; in other words, you must recognize the pattern of the terms in the sequence. Sequences can involve numbers (numeric) or even shapes (geometric).

Take a look at another example.

These two examples show an important difference in kinds of sequences. In the first example, the sequence changed by adding a specific amount each step. In the second example, the sequence changed by dividing the number to find the next number in the sequence. Some sequences may be like the first example, meaning the pattern will be based on adding or subtracting to the number in each step. Other sequences will be like the second example, meaning the pattern will be based on multiplying or dividing the number in each step.

You may also be asked to solve sequences involving a series of polygons or other objects.

Write the next number in the sequence:

- 3, 7, 11, 15, 19, 23, ___.
- -10, -12, -16, -24, -40, -72, ___.
- 2, 16, 11, 25, 20, 34, ___.
- 6, 12, 24, 48, 96, 192, ___.
- 1, -3, -11, -23, -39, -59___.

**Answers to Practice Problems**

- 27
- -136
- 29
- 384
- -83

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