Discussion
Select the number from among the given options that can replace the question mark (?) in the following series. 25 69 201 597 ?
Answer: D
The missing number is 1785. Each term is three times the previous term minus 6: 25 x 3 - 6 = 69, 69 x 3 - 6 = 201, 201 x 3 - 6 = 597, so the next is 597 x 3 - 6 = 1785.
1775, 1765 and 1825 do not follow from 597 under the rule that fits all four earlier steps.
Check the pattern on the earlier terms: 25 x 3 - 6 = 69, 69 x 3 - 6 = 201 and 201 x 3 - 6 = 597, so one rule explains every step and gives 1785.
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