Discussion
One number has been withheld from the end of this sequence. Settle on the rule the terms obey and give the next number.
7, -12, 17, -22, 27, ?
Answer: B
Correct answer: -32
Setting the signs aside, the magnitudes run 7, 12, 17, 22, 27 and rise by a constant 5. The signs alternate between positive and negative. The next magnitude is 32 and the alternation makes it -32. As a check, the answer has the opposite sign to 27, the term before it, which the alternation requires. An alternating sign is a common decoration and rarely carries the substance of the pattern.
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