Discussion
A consistent rule produced every one of the numbers below. Establish what governs the terms and give the one that comes next.
2, 18, 34, 50, ?
Answer: B
Correct answer: 66
Every gap is the same: the differences run 16, 16, 16, so the common difference is 16. Applying it once more to the final term, 50 + 16 gives 66. As a check, subtracting 16 from the answer returns 50, the term before it, and repeating that recovers the whole series. Series questions reward writing the differences down; almost nothing in this topic is solved reliably by inspection alone.
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