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## Definition:

Numbers are not created randomly. In fact, all numbers belong to a certain pattern that we can investigate and explore! This worksheet will give you an in-depth and creative understanding of number pattern and sequence.

## Summary:

**SEQUENCE**

- It is a group of numbers or objects that commonly follow a certain pattern or order.
- Each number or object of a sequence is called
**term, element or member**. - A sequence always has a
**rule**. This rule tells how a term is being made.

**COMMON NUMBER PATTERNS**

**1. Arithmetic Sequence**An arithmetic sequence involves a sequence of numbers to which the same amount has been added or subtracted.

The amount that is added or subtracted is known as the common difference.

**2. Geometric Sequence**A geometric sequence is a list of numbers that are multiplied (or divided) by the same amount.

The amount by which the numbers are multiplied is known as the common ratio.

**3. Triangular Numbers**The terms of a triangular sequence are related to the number of dots needed to create a triangle.

It begins by forming a triangle with three dots; one on top and two on bottom. The next row would have three dots, making a total of six dots and so on.

A triangular sequence begins: “1, 3, 6, 10, 15…”

**4. Square and Cube Numbers**In a square number sequence, the terms are the squares of their position in the sequence. A square sequence would begin with “1, 4, 9, 16, 25…”

In a cube number sequence, the terms are the cubes of their position in the sequence. Therefore, a cube sequence starts with “1, 8, 27, 64, 125…”

**5. Fibonacci Numbers**In a Fibonacci number sequence, the terms are found by adding the two previous terms. The Fibonacci sequence begins thusly, “0, 1, 1, 2, 3, 5, 8, 13…

## Number Patterns and Sequence Worksheets

This is a fantastic bundle which includes everything you need to know about Number Patterns and Sequence across 15+ in-depth pages. These are ready-to-use Common core aligned Grade 4 Math worksheets.

Each ready to use worksheet collection includes 10 activities and an answer guide. Not teaching common core standards? Don’t worry! All our worksheets are completely editable so can be tailored for your curriculum and target audience.

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