Discussion
A single relationship connects every term shown here. Settle on the rule the terms obey and give the next number.
5, -9, 13, -17, 21, ?
Answer: D
Correct answer: -25
Setting the signs aside, the magnitudes run 5, 9, 13, 17, 21 and rise by a constant 4. The signs alternate between positive and negative. The next magnitude is 25 and the alternation makes it -25. As a check, the answer has the opposite sign to 21, the term before it, which the alternation requires. Splitting a signed series into its magnitudes and its signs turns one problem into two, each of them simple.
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