ExplanationNotice that each term in the sequence is 1.5 greater than the last (i.e., k = 1.5).

So the second term is 3 + 1.5 = 4.5, the third term is 4.5 + 1.5 = 6, and so forth. So the fifth term is 7.5 + 1.5 = 9, the sixth term is 9 + 1.5 = 10.5, the seventh term is 10.5 + 1.5 = 12, and finally, the eighth term is 12 + 1.5 = 13.5.

So, Quantity A is 13.5, and the answer is choice (B). Another way to attack this problem is to use the sequence formula of 3 + 1.5(n – 1), where the 3 is the first

term, the 1.5 is the increase, and you are looking for the nth term. So, the 8th term is 3 + 1.5(8 – 1) = 13.5.

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Sandy

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