An arithmetic pattern is an ordered sequence of numbers generated by a consistent rule, such as adding, subtracting, multiplying, or dividing by a fixed number; extending it requires applying that rule to each term rather than relying on visual proximity or guessing. The pattern can be represented in a sequence or table, including familiar whole numbers and decimals, and provides a foundation for describing relationships algebraically; general nth-term formulas, complex multistep rules, and abstract infinite sequences are not included.
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Detailed Explanation: Extend arithmetic patterns
An arithmetic pattern follows the same operation each time. To extend the pattern, first find the rule between neighboring numbers. Then apply that rule to the last number to find the next terms.
Example: Extend the pattern by three numbers:
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Compare two numbers next to each other:
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Check another pair:
The rule is add 5 each time.
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Start with the last number, , and add repeatedly:
So, the three missing numbers are:
Always check that the same rule works between every pair of numbers before extending the pattern.
Learn by doing: Extend arithmetic patterns
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Practice:
Patterning - Missing from Increasing Arithmetic Number Pattern
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Download/Modify Free Grade 5 'Extend arithmetic patterns' Worksheet
Print this free 'Extend arithmetic patterns' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Patterning - Missing from Increasing Arithmetic Number Pattern
- Skip Counting Upward by Single Digits - Next 3 in Pattern
- Patterning - Concept Intro - (Arithmetic) - Picture to Next Term
- Patterning - Next in Increasing Arithmetic Number Pattern
- Patterning - Term Value for Increasing Arithmetic Pattern
- Patterning - Concept Intro (Arithmetic) - Picture to Missing Term
- Patterning - First Values from Rule for Increasing Arithmetic Pattern
- Skip Counting Upward by Single Digits - Next 2 in Pattern
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