JAMB and WAEC Mathematics questions: Progressions

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

1. Question 21· Progressions· WAEC

   Find the 5th term of the geometric progression 3, 12, 48, ...

   • A60
   • B192
   • C3,072
   • D768

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   Explanation and discussion

2. Question 22· Progressions· JAMB

   Find the sum of the first 8 terms of the arithmetic progression 3, 7, 11, …

   • A152
   • B124
   • C136
   • D31

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   Explanation and discussion

3. Question 23· Progressions· JAMB

   The sum of the first n terms of an AP is n² + 2n. Find the 5th term.

   • A9
   • B35
   • C13
   • D11

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   Explanation and discussion

4. Question 24· Progressions· JAMB

   Find the nth term of the sequence 5, 9, 13, …

   • An + 4
   • B4n + 5
   • C5n + 4
   • D4n + 1

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5. Question 25· Progressions· JAMB

   Find the sum 1 + 2 + 4 + 8 + … + 128.

   • A254
   • B256
   • C127
   • D255

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   Explanation and discussion

6. Question 26· Progressions· WAEC

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

   • A14
   • B16
   • C32
   • D12

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7. Question 27· Progressions· WAEC

   Find the sum to infinity of the geometric progression 24, 12, 6, ...

   • A96
   • B42
   • C36
   • D48

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   Explanation and discussion

8. Question 28· Progressions· JAMB

   Find the sum of the first 5 terms of the geometric progression 3, 6, 12, …

   • A93
   • B96
   • C48
   • D45

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   Explanation and discussion

9. Question 29· Progressions· JAMB

   Find the 6th term of the geometric progression 2, 6, 18, …

   • A162
   • B486
   • C1458
   • D243

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   Explanation and discussion

10. Question 30· Progressions· WAEC

    Find the sum of the first 8 terms of the A.P. 2, 5, 8, …

    • A23
    • B92
    • C100
    • D108

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    Explanation and discussion

11. Question 31· Progressions· WAEC

    Find the 10th term of the A.P. 3, 7, 11, …

    • A43
    • B39
    • C40
    • D37

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    Explanation and discussion

12. Question 32· Progressions· JAMB

    The first term of an arithmetic progression is 5 and the 10th term is 32. Find the common difference.

    • A4
    • B2.7
    • C3
    • D27

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    Explanation and discussion

13. Question 33· Progressions· WAEC

    How many terms are in the A.P. 5, 9, 13, …, 81?

    • A76
    • B19
    • C21
    • D20

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    Explanation and discussion

14. Question 34· Progressions· JAMB

    The sum of the first n terms of an arithmetic progression is n² + 2n. Find the first term.

    • A4
    • B1
    • C2
    • D3

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15. Question 35· Progressions· WAEC

    Find the 6th term of the geometric progression 3, 6, 12, ...

    • A48
    • B192
    • C96
    • D36

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    Explanation and discussion

16. Question 36· Progressions· JAMB

    Insert two arithmetic means between 5 and 20.

    • A8 and 16
    • B10 and 15
    • C10 and 20
    • D12 and 15

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    Explanation and discussion

17. Question 37· Progressions· WAEC

    The first term of a geometric progression is 3 and the common ratio is 2. Find the 5th term.

    • A48
    • B96
    • C30
    • D24

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    Explanation and discussion

18. Question 38· Progressions· JAMB

    The second and fifth terms of a geometric progression are 6 and 162. Find the common ratio.

    • A2
    • B9
    • C27
    • D3

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    Explanation and discussion

19. Question 39· Progressions· WAEC

    The 3rd term of an arithmetic progression is 11 and the 7th term is 27. Find the common difference.

    • A3
    • B4
    • C16
    • D5

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    Explanation and discussion

20. Question 40· Progressions· WAEC

    Find the sum of the first 15 terms of the A.P. 7, 11, 15, …

    • A63
    • B483
    • C525
    • D450

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    Explanation and discussion