JAMB Mathematics questions: Progressions

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

1. Question 1· 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

   Show answer

   Explanation and discussion

2. Question 2· Progressions· JAMB

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

   • A15
   • B16
   • C32
   • D12

   Show answer

   Explanation and discussion

3. Question 3· Progressions· JAMB

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

   • A9
   • B7.5
   • C6
   • D4

   Show answer

   Explanation and discussion

4. Question 4· Progressions· JAMB

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

   • A590
   • B620
   • C610
   • D580

   Show answer

   Explanation and discussion

5. Question 5· 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

   Show answer

   Explanation and discussion

6. Question 6· Progressions· JAMB

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

   • A140
   • B155
   • C185
   • D175

   Show answer

   Explanation and discussion

7. Question 7· Progressions· JAMB

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

   • A12
   • B13.5
   • C27
   • D18

   Show answer

   Explanation and discussion

8. Question 8· 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

   Show answer

   Explanation and discussion

9. Question 9· Progressions· JAMB

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

   • A33
   • B38
   • C35
   • D36

   Show answer

   Explanation and discussion

10. Question 10· Progressions· JAMB

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

    • A2
    • B9
    • C27
    • D3

    Show answer

    Explanation and discussion

11. Question 11· Progressions· JAMB

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

    • A1
    • B−1
    • C−4
    • D2

    Show answer

    Explanation and discussion

12. Question 12· Progressions· JAMB

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

    • A21
    • B19
    • C20
    • D76

    Show answer

    Explanation and discussion

13. Question 13· Progressions· JAMB

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

    • A40
    • B43
    • C36
    • D39

    Show answer

    Explanation and discussion

14. Question 14· Progressions· JAMB

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

    • A152
    • B124
    • C136
    • D31

    Show answer

    Explanation and discussion

15. Question 15· Progressions· JAMB

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

    • A9
    • B35
    • C13
    • D11

    Show answer

    Explanation and discussion

16. Question 16· Progressions· JAMB

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

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

    Show answer

    Explanation and discussion

17. Question 17· Progressions· JAMB

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

    • A254
    • B256
    • C127
    • D255

    Show answer

    Explanation and discussion

18. Question 18· Progressions· JAMB

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

    • A93
    • B96
    • C48
    • D45

    Show answer

    Explanation and discussion

19. Question 19· Progressions· JAMB

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

    • A162
    • B486
    • C1458
    • D243

    Show answer

    Explanation and discussion

20. Question 20· 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

    Show answer

    Explanation and discussion