WAEC Further Mathematics 2022 Objective — Question 17

Question 17 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.

If Uₙ=kn²+pn, U₁=−1, U₅=15, find the values of k and p.

A. k=−1, p=2
B. k=−1, p=−2
C. k=1, p=−2Correct
D. k=1, p=2

Explanation

U₁: k+p=−1. U₅: 25k+5p=15. Substituting p=−1−k into the second equation gives 20k=20, so k=1 and p=−2.

Sign up free to unlock

Score tracking
Practice history
Saved questions
Progress dashboard
Personalized sessions
Weak-topic breakdown

…and/or go further with premium services and No Ads.

Create free account

More questions from Further Mathematics 2022 Objective More Further Mathematics past papers