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Grade 12 · Number Patterns, Sequences and Series
Arithmetic & Geometric Sequences: Full Guide
WORKSHEET
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  / 26

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    10th term of 3 ; 7 ; 11 ; … (arithmetic term)
    (2)
  2. 2
    8th term of 2 ; 5 ; 8 ; … (arithmetic term)
    (2)
  3. 3
    5th term of 3 ; 6 ; 12 ; … (geometric term)
    (2)
  4. 4
    6th term of 1 ; 3 ; 9 ; … (geometric term)
    (2)
  5. 5
    Which term of 4 ; 7 ; 10 ; … is 61? (which term)
    (3)
  6. 6
    Which term of 2 ; 4 ; 8 ; … is 256? (which term)
    (3)
  7. 7
    Sum of the first 10 terms of 2 ; 4 ; 6 ; … (arithmetic sum)
    (3)
  8. 8
    Sum of the first 15 terms of 3 ; 5 ; 7 ; … (arithmetic sum)
    (3)
  9. 9
    Sum to infinity of 6 + 3 + 1,5 + … (S∞)
    (3)
  10. 10
    Sum to infinity of 10 + 2 + 0,4 + … (S∞)
    (3)
TOTAL: 26 marks
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