JAMB and WAEC Mathematics questions: Progressions

48 questions with answers and explanations. Tap an option to check yourself.

1. Question 1· Progressions· WAEC

   Find the sum of the first 12 terms of the arithmetic progression 2, 6, 10, ...

   • A46
   • B144
   • C288
   • D276

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   Explanation and discussion

2. Question 2· Progressions· JAMB

   The first term of a GP is 18 and its sum to infinity is 27. Find the common ratio.

   • A2/3
   • B1/3
   • C3/2
   • D1/2

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3. Question 3· Progressions· JAMB

   Find the sum to infinity of 8 + 4 + 2 + 1 + ...

   • A15
   • B16
   • C32
   • D12

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4. Question 4· Progressions· JAMB

   3, x and 12 are consecutive terms of a geometric progression with positive terms. Find x.

   • A9
   • B7.5
   • C6
   • D4

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5. Question 5· Progressions· JAMB

   Find the sum of the first 20 terms of the series 2 + 5 + 8 + ...

   • A590
   • B620
   • C610
   • D580

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6. Question 6· Progressions· JAMB

   Find the 5th term of the geometric progression whose first term is 81 and common ratio is ⅓.

   • A1/3
   • B3
   • C1
   • D9

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7. Question 7· Progressions· JAMB

   Find the sum of the first 10 terms of the arithmetic progression 4, 7, 10, …

   • A140
   • B155
   • C185
   • D175

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   Explanation and discussion

8. Question 8· Progressions· WAEC

   The 4th term of a G.P. is 54 and the first term is 2. Find the common ratio.

   • A2
   • B9
   • C27
   • D3

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9. Question 9· Progressions· WAEC

   What is the common ratio of the geometric progression 81, 27, 9, ...?

   • A1/3
   • B3
   • C−1/3
   • D1/9

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10. Question 10· Progressions· WAEC

    What is the 12th term of the sequence 5, 9, 13, 17, ...?

    • A48
    • B53
    • C49
    • D45

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11. Question 11· Progressions· JAMB

    Find the sum to infinity of 9 + 3 + 1 + …

    • A12
    • B13.5
    • C27
    • D18

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12. Question 12· Progressions· JAMB

    Two numbers are inserted between 2 and 54 so that the four numbers form a GP. The two numbers are

    • A12 and 26
    • B18 and 36
    • C6 and 18
    • D10 and 30

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13. Question 13· Progressions· JAMB

    Find the 12th term of the arithmetic progression 2, 5, 8, …

    • A33
    • B38
    • C35
    • D36

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14. Question 14· Progressions· WAEC

    Find the sum of the first 15 terms of the arithmetic progression 4, 7, 10, ...

    • A750
    • B345
    • C375
    • D390

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15. Question 15· Progressions· JAMB

    The 2nd and 5th terms of a GP are 6 and 162. Find the common ratio.

    • A2
    • B9
    • C27
    • D3

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16. Question 16· Progressions· WAEC

    The 4th term of an arithmetic progression is 17 and the 9th term is 37. Find the common difference.

    • A3
    • B5
    • C20
    • D4

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17. Question 17· Progressions· JAMB

    Find the 8th term of the arithmetic progression 20, 17, 14, …

    • A1
    • B−1
    • C−4
    • D2

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18. Question 18· Progressions· JAMB

    How many terms are there in the arithmetic progression 7, 11, 15, …, 83?

    • A21
    • B19
    • C20
    • D76

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19. Question 19· Progressions· WAEC

    Find the 15th term of the arithmetic progression 7, 10, 13, ...

    • A52
    • B49
    • C45
    • D46

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20. Question 20· Progressions· JAMB

    Find the 10th term of the arithmetic progression 3, 7, 11, ...

    • A40
    • B43
    • C36
    • D39

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    Explanation and discussion