Directions: Find the missing term in the following number series: 7, 24, 75, 228, ?, 2064
Reveal answer
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Directions: Find the missing term in the following number series: 7, 24, 75, 228, ?, 2064
580
677
687
695
721
The pattern is x_n = x_(n-1) * 3 + 3, 3, 3... wait: 7*3+3=24, 24*3+3=75, 75*3+3=228, 228*3+3=687, 687*3+3=2064.
The series follows a pattern where each term is multiplied by 3 and then a decreasing odd number is subtracted. Multiplying 7 by 3 and adding 3 gives 24, multiplying 24 by 3 and adding 3 gives 75, and multiplying 75 by 3 and adding 3 gives 228. Continuing this pattern, we multiply 228 by 3 and add 3 to get 687. To verify, multiplying 687 by 3 and adding 3 gives 2064, confirming the result is 687.