Generating & Describing Number Sequences (Year 8)
Free printable UK Year 8 (Key Stage 3) maths worksheet: generate terms from a term-to-term or position-to-term (nth term) rule, and continue square, triangular and geometric sequences.
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Grade 7 · Math worksheet
Name
Date
Math
Generating & Describing Number Sequences
Generate terms from a term-to-term or nth term rule, and continue square, triangular and geometric sequences.
- 1.Write the first 5 terms of the sequence that starts at 18, with the term-to-term rule "add 9 each time".
- 2.Write the first 5 terms of the sequence that starts at 19, with the term-to-term rule "add 6 each time".
- 3.Write the first 5 terms of the sequence that starts at 8, with the term-to-term rule "add 4 each time".
- 4.Write the first 5 terms of the sequence that starts at 2, with the term-to-term rule "add 8 each time".
- 5.Write the first 5 terms of the sequence that starts at 7, with the term-to-term rule "subtract 3 each time".
- 6.The nth term of a sequence is 4n + 9. Write the first 5 terms (n = 1 to 5).
- 7.The nth term of a sequence is 7n - 2. Write the first 5 terms (n = 1 to 5).
- 8.The nth term of a sequence is 8n - 10. Write the first 5 terms (n = 1 to 5).
- 9.The nth term of a sequence is 8n + 7. Write the first 5 terms (n = 1 to 5).
- 10.The nth term of a sequence is 8n + 3. Write the first 5 terms (n = 1 to 5).
- 11.These are consecutive triangular numbers: 1, 3, 6, 10. Find the next 2 terms.
- 12.These are consecutive square numbers: 9, 16, 25, 36. Find the next 2 terms.
- 13.These are consecutive triangular numbers: 1, 3, 6, 10. Find the next 2 terms.
- 14.These are consecutive triangular numbers: 3, 6, 10, 15. Find the next 2 terms.
- 15.This is a geometric sequence: 2, 6, 18, 54. The term-to-term rule is "multiply by 3". Find the next 2 terms.
- 16.This is a geometric sequence: 4, 12, 36, 108. The term-to-term rule is "multiply by 3". Find the next 2 terms.
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