Patterns
Complete the number series
Restore missing values in ascending or descending consecutive series across chosen positive or advanced negative ranges.
Preview and downloadNumerical patterns practice
Complete numerical-rule series
Find and check a repeating numerical rule, then complete the last three terms. Choose Fibonacci, alternating addition and subtraction, or alternating multiplication with addition or subtraction.
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Read the seven given terms. Test a rule from the selected families against every transition, then write the final three terms.
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Read the clues before filling a box
Locate the given terms and check the rule across every visible transition. When clues begin in the middle, work in both directions rather than treating the first visible number as the start.
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Learning objective
What this activity builds
Distinguish a previous-two-term rule from an alternating pair of operations and verify it against every given term.
Worked example
Continue 2, 4, 7, 14, 17, 34, 37, __, __, __.
74, 77, 154
Alternate multiplying by two and adding three, starting with multiplication. After 37 comes 74, then 77, then 154.
Teaching notes
Make the practice count
- Fibonacci begins with 0 and 1; each later term is the sum of the previous two. Selecting only Fibonacci makes one focused row.
- Selecting any other family makes ten rows, including each selected family. Fibonacci appears at most once.
- Alternating rules begin with the first named operation. Addition/subtraction rules start by adding; multiplication rules start by multiplying.
- A finite list can fit many mathematical rules. Ask for a rule from the selected families that agrees with all given terms, rather than claiming the prefix determines a unique rule.
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