Discussion
One number has been withheld from the end of this sequence. Determine the relationship and select the number that follows.
5, 25, 125, 625, ?
Answer: B
Correct answer: 3125
The gaps are 20, 100, 500, which follow no constant pattern, so the rule lies in the terms rather than in the steps between them. Each term is five raised to the power of its position: position 1 gives 5 and position 4 gives 625. The next position is 5, which gives 3125. As a check, the same rule applied to the earlier positions reproduces 5, 25, 125, 625 exactly, so it accounts for every term shown and not merely the last. Powers of four rise so steeply that only three or four terms fit comfortably in a question.
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