Daily Math Puzzle: 2026-05-02
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2026-05-02
During a school field trip to a futuristic 'Logic Lab' exhibit, students must input the correct sequence of numbers to unlock the next room. Each student is given a number based on a hidden rule derived from the previous number. The sequence displayed on the screen is: 1, 2, 4, 8, 16, 23, __?
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Solution
28 — The sequence follows a unique rule: each new number is calculated by taking the previous number and adding the sum of its own digits to it.
Let's trace the pattern:
1. Start with 1. (Sum of digits of 1 is 1). Next number: 1 + 1 = 2.
2. Current number is 2. (Sum of digits of 2 is 2). Next number: 2 + 2 = 4.
3. Current number is 4. (Sum of digits of 4 is 4). Next number: 4 + 4 = 8.
4. Current number is 8. (Sum of digits of 8 is 8). Next number: 8 + 8 = 16.
5. Current number is 16. (Sum of digits of 16 is 1 + 6 = 7). Next number: 16 + 7 = 23.
6. Following this rule, the current number is 23. (Sum of digits of 23 is 2 + 3 = 5). The next number in the sequence should be 23 + 5 = 28.
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