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Year 7 Sequences Worksheet

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Year 7 Sequences Worksheet

Poppy, Callum and Tomasz are checking number patterns before their spacecraft launches. For each sequence, identify its rule and complete the task. Show your working where asked.

Spot the rule

Look for the change between consecutive terms. Remember, a sequence can increase or decrease.

1.The mission timer readings are 7, 12, 17, 22, … What is the common difference, and what are the next two terms?

2.A probe sends data packets in this sequence: 84, 76, 68, 60, … State the rule and write the next two terms.

3.Which sequence has a common difference of 6? Choose one.

4, 10, 16, 22, …
3, 9, 18, 30, …
30, 24, 17, 9, …
2, 8, 15, 23, …

Find missing terms

Use the positions of the terms as well as the pattern to work out each gap.

4.Fill the gaps in the sequence: 11, __, 21, 26, __. Give the common difference too.

5.A fuel gauge is checked at equal time intervals: 95, 83, __, 59, 47. Find the missing term and state the rule.

6.A sequence starts 5, 13, 21, 29, … What is the 7th term? Explain briefly how you found it.

Rules and reasoning

Write a term-to-term rule or a rule for finding any term in the sequence.

7.A launch countdown pattern is 62, 55, 48, 41, … Write its term-to-term rule, then calculate the 10th term.

8.The nth term of a sequence is 4n + 3. Calculate the 1st, 5th and 10th terms.

9.A sequence has nth term 3n − 2. Is 40 a term in the sequence? Show how you know.

10.Poppy says the sequence 2, 6, 10, 14, … has nth term 4n − 2. Is she correct? Check the rule using at least two term positions.

TrueFalse

11.Create a sequence with first term 9 and common difference −3. Write its first five terms and give an nth-term rule.

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Year 7 Sequences Worksheet

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3 printable pages

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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