Grade 8 Continue the Sequence Worksheets
Work out the rule from the terms shown, then write the ones that come next.
Every sheet below is generated fresh with a matching answer key. Pick one of the three levels, preview it, and print or download the PDF — no account, no watermark. For the other grade 8 number patterns skills, see all number patterns worksheets.
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Number Patterns · Grade 8
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Grade 8 · 2 pages · A4What each level generates
Grade 8 continue the sequence — the exact skill behind each difficulty setting, straight from the generator.
- Level 1Count on in equal steps
- Level 2Count back in equal steps
- Level 3Steps that grow
Grade levels follow the progression common to most English-language curricula — not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence →
More Grade 8 number patterns skills
Each one generates a different kind of question, with its own three levels and answer key.
- Find the Missing TermThe gap is inside the sequence, so the rule has to be read from both sides of it.
- Name the RuleRead a sequence and write, in words, what its rule does at every step.
- Doubling and HalvingRuns that double at every step, and the same runs read backwards.
- Two Rules TogetherPatterns where two different jumps take turns, one term at a time.
- Multiplying SequencesSequences that grow by a fixed ratio each step, and the same runs in reverse.
Frequently asked questions
▸What does 'find the rule' mean in Grade 8?
On these sheets it means describing what happens at every step, precisely enough to continue the run: 'add 120 each time', 'take away 250 each time', 'times 3', or — where the jump itself grows — 'each jump grows by 14'. That is a term-to-term rule. The position-to-term (nth term) rule that names any term directly is the step after, and it is built out of exactly these.
▸What sequences are expected in Grade 8?
Arithmetic sequences with any constant difference and geometric sequences with ratios of 2, 3, 4 and 5, continued with the rule stated in words. Doubling and Halving covers the ratio of 2; Multiplying Sequences runs Triple it each time, Cut it into thirds each time, then Bigger ratios, with a gap.
▸How does this help with algebra?
Reading a list of terms and naming its rule is the reasoning behind linear functions and expressions. These sheets build the term-to-term half of it; a student who can state a rule reliably turns it into a position-to-term rule far more easily, and reads tables and graphs of functions far more fluently.
▸Should students see arithmetic and geometric sequences together?
Yes, but across sheets rather than inside one. Each page here is a single skill so it can be taught cleanly; print a Continue the Sequence sheet and a Multiplying Sequences sheet and hand them over together, and the diagnose-then-rule habit still has to do its work.
▸Does the download match the screen exactly?
Yes — the preview is the worksheet, on your chosen A4 or US Letter size, and the PDF reproduces it precisely, answer key included. The shareable link brings back the identical sheet whenever you need it.