These are Fibannoci's numbers. Therefore, the 7th number is 21.
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13, because if you add the last number to the current number you get the next number
It is 129.
The next number in the sequence is 27.
Every next number is increased by 5. The next number in the sequence is 23.
42 is the next number in this sequence. This number sequence is adding the next prime number to the last number. So 1 + 2 = 3. Then 3 + 3 = 6, 6 + 5 = 11, 11 + 7 = 18, 18 + 11 = 29. The next prime number after 11 is 13, so 29 + 13 = 42. The next numbers would be 59 (42+17), 78 (59+19), and 101 (78+23)