The next number is 116.
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The sequence alternates between two patterns: the first pattern increments by 12 (15 to 26 to 37 to 48), while the second pattern increments by 11 (51 to 62 to 73). Following this pattern, the next number after 48 should continue the first pattern, resulting in 59 (48 + 11). Thus, the next number is 59.
16*3 = 48
49
240
75 Pattern: times 3, divided by 2, plus 1