Post-UTME Mathematics 2018 Objective — Question 5
Question 5 of 20 from the Post-UTME Screening (Post-UTME) Mathematics 2018 Objective paper, with the correct answer and a full explanation.
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Given that r is the common ratio and d the common difference when 2, x, 18,.... are respectively a geometric progression and an arithmetic progression. Then the ratio r:d is
- A. 1:1
- B. 3:8Correct
- C. 1:4
- D. 2:9
Explanation
For the GP, x^2=2x18=36, so x=6, giving r=x/2=3. For the AP, x-2=18-x, so x=10, giving d=x-2=8. Ratio r:d = 3:8.
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