Daily Math Puzzle: 2026-04-26
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2026-04-26
At the 'Enigma Gardens' amusement park, a series of glowing signposts guides visitors to a secret attraction. Each signpost displays a number, and the number on the *next* signpost is generated by describing the digits of the *previous* one. The first five signs show the sequence: 1, 11, 21, 1211, 111221. What number will appear on the sixth signpost?
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Solution
312211 — This is a 'Look-and-Say' sequence. To get the next number, you describe the previous number by counting consecutive identical digits.
Let's break down the sequence:
1. **1** (One 1) -> **11**
2. **11** (Two 1s) -> **21**
3. **21** (One 2, then One 1) -> **1211**
4. **1211** (One 1, then One 2, then Two 1s) -> **111221**
Now, to find the sixth signpost's number, we describe **111221**:
- The first part is '111', which consists of 'Three 1s'. This translates to '31'.
- The next part is '22', which consists of 'Two 2s'. This translates to '22'.
- The last part is '1', which consists of 'One 1'. This translates to '11'.
Concatenating these descriptions in order gives us **312211**.
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