Daily Math Puzzle: 2026-04-05
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2026-04-05
Deep within the ruins of the ancient civilization of Eldoria, archaeologists unearthed a series of inscribed tablets. Each tablet bears a single number, part of a sacred sequence believed to predict the cycles of the cosmos. The numbers recorded were: 1, 2, 6, 24, 120, ... If the sequence continues, what number should be inscribed on the next tablet?
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Solution
720 — To discover the pattern, let's look at the relationship between consecutive numbers:
1st term: 1
2nd term: 2 (which is 1 × 2)
3rd term: 6 (which is 2 × 3)
4th term: 24 (which is 6 × 4)
5th term: 120 (which is 24 × 5)
The pattern reveals that each number in the sequence is obtained by multiplying the previous number by an increasing integer (2, then 3, then 4, then 5, and so on). This is the definition of a factorial sequence (n!).
Following this pattern, the next multiplier should be 6.
So, the 6th term will be 120 × 6 = 720.
Thus, the number to be inscribed on the next tablet is 720.
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