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Finding the nth Term of an Arithmetic Sequence (Year 8)

Free printable UK Year 8 (Key Stage 3) maths worksheet: find the nth term of an arithmetic sequence from its first term and common difference, or from its first 3 terms.

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Grade 7 · Math worksheet
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Math

Finding the nth Term of an Arithmetic Sequence

Find the nth term of each arithmetic sequence, and use it to find a stated term.

  1. 1.
    An arithmetic sequence has first term -1 and common difference -8. Find the nth term, then use it to find the 10th term.
  2. 2.
    An arithmetic sequence has first term -4 and common difference 1. Find the nth term, then use it to find the 10th term.
  3. 3.
    An arithmetic sequence has first term -5 and common difference -3. Find the nth term, then use it to find the 10th term.
  4. 4.
    An arithmetic sequence has first term -9 and common difference -8. Find the nth term, then use it to find the 10th term.
  5. 5.
    An arithmetic sequence has first term 18 and common difference 3. Find the nth term, then use it to find the 10th term.
  6. 6.
    The nth term of a sequence is 8n - 11. Find the 20th term.
  7. 7.
    The nth term of a sequence is -6n + 4. Find the 22nd term.
  8. 8.
    The nth term of a sequence is -9n + 3. Find the 25th term.
  9. 9.
    The nth term of a sequence is -5n - 3. Find the 26th term.
  10. 10.
    The nth term of a sequence is 8n - 10. Find the 24th term.
  11. 11.
    Find the nth term of the sequence: -9, -10, -11, ...
  12. 12.
    Find the nth term of the sequence: -6, 0, 6, ...
  13. 13.
    Find the nth term of the sequence: 13, 7, 1, ...
  14. 14.
    Find the nth term of the sequence: 18, 23, 28, ...
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