Discussion
This run continues in a way the terms shown are enough to determine. Settle on the rule the terms obey and give the next number.
2, 9, 37, 149, ?
Answer: B
Correct answer: 597
Neither a constant difference nor a constant ratio fits, since the gaps run 7, 28, 112. Each term is the previous one multiplied by 4 and then increased by 1: 2 times 4 plus 1 is 9, and 9 times 4 plus 1 is 37. Applying it once more, 149 times 4 plus 1 is 597. As a check, reversing the rule on the answer -- subtracting the constant and dividing -- returns 149, the last term shown. The multiplier can be recovered by dividing one difference by the previous one, after which the added constant follows.
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