BECE Mathematics 2014 Paper

Concept:The given list of numbers is an arithmetic sequence because the difference between each pair of consecutive terms is constant.This constant difference is called the common difference.Explanation:Subtract each term from the next term to find the common difference.$7 - 11 = -4$$3 - 7 = -4$$-1 - 3 = -4$Thus, the common difference is $-4$.In an arithmetic sequence, every next term is obtained by adding the common difference to the previous term.So, the term after $-1$ is calculated as:$-1 + (-4) = -5$Then, the term after $-5$ is calculated as:$-5 + (-4) = -9$Therefore, the missing terms are $-5$ and $-9$.Answer:The next two terms are $-5, -9$.Hence, the correct option is D.