A sequence is a list of numbers in a specific order. Each number in the sequence is called a term. The position of a term in the sequence is called its term number.

There are different types of sequences:

**Arithmetic Sequence:**In an arithmetic sequence, each term is obtained by adding a constant value to the previous term. The constant value is called the common difference.**Geometric Sequence:**In a geometric sequence, each term is obtained by multiplying the previous term by a constant value. The constant value is called the common ratio.**Fibonacci Sequence:**The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones, usually starting with 0 and 1.

Sequences can be expressed using notation. For example, the nth term of an arithmetic sequence can be represented as: a_{n} = a_{1} + (n-1)d, where a_{n} is the nth term, a_{1} is the first term, and d is the common difference.

Here are some examples of sequences:

- Arithmetic Sequence: 2, 5, 8, 11, 14, ... (common difference = 3)
- Geometric Sequence: 3, 6, 12, 24, 48, ... (common ratio = 2)
- Fibonacci Sequence: 0, 1, 1, 2, 3, 5, 8, 13, ...

Study GuideNumber Patterns Worksheet/Answer key

Number Patterns Worksheet/Answer key

Number Patterns Worksheet/Answer key

Number Patterns Worksheet/Answer keyPatterns and Algebra Worksheet/Answer keyPatterns and Algebra Worksheet/Answer keyPattern and Algebra Worksheet/Answer keyPatterns and Algebra Vocabulary/Answer keyNumber Patterns

Algebra (NCTM)

Understand patterns, relations, and functions.

Recognize, describe, and extend patterns such as sequences of sounds and shapes or simple numeric patterns and translate from one representation to another.

Analyze how both repeating and growing patterns are generated.