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

To find the first five terms of the sequence defined by the formula an = 6n + 1, we need to substitute values of n starting from 1 up to 5.

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

Thus, the first five terms of the sequence are: 7, 13, 19, 25, and 31.