WAEC Mathematics 2019 Paper

Concept:In an Arithmetic Progression (AP), the difference between consecutive terms is constant.Explanation:The given terms are $6$, $P$, and $14$.Since they are consecutive terms of an AP, the common difference between the first and second term equals the common difference between the second and third term.So, $P - 6 = 14 - P$.Add $P$ to both sides: $P + P - 6 = 14$.This gives $2P - 6 = 14$.Add $6$ to both sides: $2P = 20$.Divide both sides by $2$: $P = \frac{20}{2} = 10$.Answer:The value of $P$ is $10$, which is option B.