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JAMB and WAEC Further Mathematics questions: Sequences and series

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

AllJAMBWAEC
All topicsCoordinate geometry and conic sections · 16Differentiation · 18Dynamics · 15Functions and rational functions · 15Integration · 16Matrices and determinants · 16Permutations and combinations · 15Polynomials and the remainder theorem · 16Probability · 16Sequences and series · 16Sets, binary operations and logic · 16Statics · 14Statistics · 15Surds, indices and logarithms · 16The binomial theorem · 15Trigonometry · 16Vectors · 16

  1. Question 1· Sequences and series· WAEC

    Find the nth term of the arithmetic progression 7, 4, 1, ...

    Explanation and discussion

  2. Question 2· Sequences and series· WAEC

    Find the sum of the first 20 terms of the arithmetic progression 2, 5, 8, ...

    Explanation and discussion

  3. Question 3· Sequences and series· WAEC

    The common ratio of the GP 81, 27, 9, … is

    Explanation and discussion

  4. Question 4· Sequences and series· WAEC

    The sum of the first 10 terms of the AP 2, 5, 8, … is

    Explanation and discussion

  5. Question 5· Sequences and series· WAEC

    The sum to infinity of the GP 8, 4, 2, … is

    Explanation and discussion

  6. Question 6· Sequences and series· WAEC

    Which term of the arithmetic progression 5, 9, 13, ... is 81?

    Explanation and discussion

  7. Question 7· Sequences and series· WAEC

    Evaluate the sum of (2r + 1) from r = 1 to r = 4.

    Explanation and discussion

  9. Question 9· Sequences and series· WAEC

    The common ratio of the geometric progression 81, −27, 9, ... is

    Explanation and discussion

  10. Question 10· Sequences and series· WAEC

    Find the sum to infinity of 1 − 1/3 + 1/9 − 1/27 + ...

    Explanation and discussion

  11. Question 11· Sequences and series· WAEC

    Find the sum of the first five terms of the geometric series 2 + 6 + 18 + ...

    Explanation and discussion

  13. Question 13· Sequences and series· WAEC

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

    Explanation and discussion

  14. Question 14· Sequences and series· WAEC

    The 10th term of the arithmetic progression 3, 7, 11, … is

    Explanation and discussion

  15. Question 15· Sequences and series· WAEC

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

    Explanation and discussion

  16. Question 16· Sequences and series· WAEC

    The 5th term of the geometric progression 2, 6, 18, … is

    Explanation and discussion

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