What are the first five terms of the sequence defined by the formula an = 6n + 1?

The sequence defined by the formula an = 6n + 1 can be evaluated by substituting the values of n starting from 1. Here’s how to find the first five terms:

1. For n = 1:
   a1 = 6(1) + 1 = 6 + 1 = 7
2. For n = 2:
   a2 = 6(2) + 1 = 12 + 1 = 13
3. For n = 3:
   a3 = 6(3) + 1 = 18 + 1 = 19
4. For n = 4:
   a4 = 6(4) + 1 = 24 + 1 = 25
5. For n = 5:
   a5 = 6(5) + 1 = 30 + 1 = 31

Thus, the first five terms of the sequence are:

• a₁ = 7
• a₂ = 13
• a₃ = 19
• a₄ = 25
• a₅ = 31

This results in the sequence: 7, 13, 19, 25, 31.