What are the first five terms of the sequence an = 3n + 1?

To find the first five terms of the sequence defined by an = 3n + 1, we need to substitute the values of n from 1 to 5 into the formula.

1. For n = 1:
   a₁ = 3(1) + 1 = 3 + 1 = 4
2. For n = 2:
   a₂ = 3(2) + 1 = 6 + 1 = 7
3. For n = 3:
   a₃ = 3(3) + 1 = 9 + 1 = 10
4. For n = 4:
   a₄ = 3(4) + 1 = 12 + 1 = 13
5. For n = 5:
   a₅ = 3(5) + 1 = 15 + 1 = 16

Thus, the first five terms of the sequence are 4, 7, 10, 13, and 16.