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Grade 12 · Mathematics

Grade 12 Sequences & series worksheet

20 questions on sequences & series. The answer key is a separate download.

What is on the worksheet

  1. Find the sum of the first 13 terms of an arithmetic sequence with first term 1 and common difference 2.

  2. A geometric sequence starts at 11, with common ratio 5. Find term 7.

  3. An arithmetic sequence has first term 11 and common difference 12. Find term 26.

  4. Find the sum of the first 5 terms of a geometric sequence with first term 15 and ratio 4.

  5. Find the sum of the first 3 terms of a geometric sequence with first term 3 and ratio 3.

  6. Find the sum of the first 16 terms of an arithmetic sequence with first term 14 and common difference 7.

  7. An arithmetic sequence has first term 27 and common difference 8. Find term 9.

  8. Find the sum of the first 22 terms of an arithmetic sequence with first term 3 and common difference 8.

  9. Find the sum of the first 4 terms of a geometric sequence with first term 9 and ratio 4.

  10. Find the sum of the first 5 terms of a geometric sequence with first term 1 and ratio 2.

  11. Find the sum of the first 3 terms of a geometric sequence with first term 7 and ratio 2.

  12. Find the sum of the first 28 terms of an arithmetic sequence with first term 3 and common difference 3.

  13. Find the sum of the first 5 terms of a geometric sequence with first term 5 and ratio 2.

  14. An arithmetic sequence has first term 29 and common difference 14. Find term 16.

  15. A geometric sequence starts at 2, with common ratio 2. Find term 3.

  16. Find the sum of the first 4 terms of a geometric sequence with first term 10 and ratio 4.

  17. An arithmetic sequence has first term 36 and common difference 13. Find term 10.

  18. An arithmetic sequence has first term 1 and common difference 6. Find term 28.

  19. Find the sum of the first 3 terms of a geometric sequence with first term 11 and ratio 2.

  20. Find the sum of the first 5 terms of an arithmetic sequence with first term 4 and common difference 5.

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