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The sequence appears to involve a pattern where each number is derived from a combination of multiplication and addition. Starting from 1, the pattern is: 1 × 1 + 1 = 2, 2 × 2 + 1 = 5, 5 × 2 + 0 = 10, and 10 × 5 = 50. Following this pattern, the next number should be 50 × 5 = 250. Therefore, the next number in the sequence is 250.

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