JAMB Mathematics 2019 Objective — Question 3

Question 3 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

The 4th term of an AP is 13 while the 10th term is 31. Find the 24th term.

A. 89Correct
B. 75
C. 73
D. 69

Explanation

T₄=a+3d=13, T₁₀=a+9d=31. Subtracting: 6d=18, d=3. Then a+9=13, a=4. T₂₄=a+23d=4+23(3)=4+69=73... (recomputing: 4+69=73). Using the source's working, T₂₄ = 4+23(3) = 73. (Note: the listed answer key marks A/89, but the direct computation yields 73, matching option C — flagged as a possible key inconsistency.)

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