Number Patterns

Number Patterns

You have likely seen patterns in the form of pictures and numbers. In this tutorial, we learn more about the mathematics of patterns. Patterns are repetitive sequences and can be found in nature, shapes, events, sets of numbers and almost everywhere you care to look. For example, seeds in a sunflower, snowflakes, geometric designs on quilts or tiles, or the number sequence \(0; 4; 8; 12; 16; \ldots\).

The pattern of seeds within a sunflower follows the Fibonacci sequence, or \(1; 2; 3; 5; 8; 13; 21; 34; 55; 89; 144; \ldots\)

Try spot any patterns in the following sequences on your own:

1. \(2; 4; 6; 8; 10;\ldots\)

2. \(1; 2; 4; 7; 11; \ldots\)

3. \(1; 4; 9; 16; 25; \ldots\)

4. \(5; 10; 20; 40; 80; \ldots\)