Discussion
This run continues in a way the terms shown are enough to determine. Determine the relationship and select the number that follows.
2, 12, 36, 80, ?
Answer: B
Correct answer: 150
The gaps are 10, 24, 44, which follow no constant pattern, so the rule lies in the terms rather than in the steps between them. Each term is the cube of its position plus its square: position 1 gives 2 and position 4 gives 80. The next position is 5, which gives 150. As a check, the same rule applied to the earlier positions reproduces 2, 12, 36, 80 exactly, so it accounts for every term shown and not merely the last. An arithmetic slip is far more common than a misread rule, so the final calculation deserves a second look.
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