WAEC Further Mathematics 2022 Objective — Question 26

Question 26 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.

The first, second and third terms of an exponential sequence (G.P.) are (x−4), (x+2) and (3x+1) respectively. Find the values of x.

A. −1/2, 8Correct
B. 1/2, −1
C. −1/2, −8
D. 1/2, 8

Explanation

For a G.P., (x+2)/(x−4) = (3x+1)/(x+2). Cross-multiplying: (x+2)²=(x−4)(3x+1), which simplifies to 2x²−15x−8=0, i.e. (2x+1)(x−8)=0, so x=−1/2 or x=8.

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