What are the first five terms of the sequence given by the formula an = 5n + 1?

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

Let’s calculate:

• For n = 1:
  a₁ = 5(1) + 1 = 5 + 1 = 6
• For n = 2:
  a₂ = 5(2) + 1 = 10 + 1 = 11
• For n = 3:
  a₃ = 5(3) + 1 = 15 + 1 = 16
• For n = 4:
  a₄ = 5(4) + 1 = 20 + 1 = 21
• For n = 5:
  a₅ = 5(5) + 1 = 25 + 1 = 26

Thus, the first five terms of the sequence are: 6, 11, 16, 21, 26.