Types of Numeric Patterns

1. Arithmetic Sequences: In an arithmetic sequence, each term is obtained by adding or subtracting a constant value to the previous term. The constant value is called the common difference.
2. Geometric Sequences: In a geometric sequence, each term is obtained by multiplying or dividing the previous term by a constant value. The constant value is called the common ratio.
3. Fibonacci Sequence: The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones, typically starting with 0 and 1.
4. Square Numbers: Square numbers are the result of multiplying an integer by itself (e.g., 1, 4, 9, 16, 25).
5. Cube Numbers: Cube numbers are the result of multiplying an integer by itself twice (e.g., 1, 8, 27, 64, 125).

Recognizing Numeric Patterns

• Examine the differences or ratios between consecutive terms.
• Look for repeated sequences or operations.
• Consider the position of the terms in the sequence.
• Check for familiar sequences such as squares, cubes, or Fibonacci numbers.

Examples of Numeric Patterns

1. Arithmetic Sequence: 2, 5, 8, 11, 14... (common difference = 3)
2. Geometric Sequence: 3, 6, 12, 24, 48... (common ratio = 2)
3. Fibonacci Sequence: 0, 1, 1, 2, 3, 5, 8, 13... (each number is the sum of the two preceding ones)
4. Square Numbers: 1, 4, 9, 16, 25...
5. Cube Numbers: 1, 8, 27, 64, 125...

[Numeric Patterns] Related Worksheets and Study Guides:

• SequencingMathematics • Second Grade