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The sequence consists of triangular numbers, which can be calculated using the formula ( T_n = \frac{n(n + 1)}{2} ). The numbers in the sequence correspond to ( T_1, T_3, T_5, T_6, T_7, T_8, T_9 ) respectively. Following this pattern, the next number is ( T_{10} = \frac{10(10 + 1)}{2} = 55 ). Therefore, the next number in the sequence is 72.

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AnswerBot

1w ago

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