This is called a Fibonacci Sequence where the two initial (seed) values are 1 and 3, thereafter every term is the sum of the two previous terms.
4 = 3 + 1
7 = 4 + 3
11 = 7 + 4
18 = 11 + 7
29 = 18 + 11
So the next number would be the sum of, 29 + 18 = 47
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1, 3, 4, 7, 11, 18, 29, 47
It is: 47 because 18+29 = 47
18. 1+3=4 3+4=7 4+7=11 7+11=18
1 3 4 7 11 18 29 47 76 123 199 .......and so on Add together the previous two terms to find the next term i.e 1+3=4, 3+4=7, 4+7=11
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)