What are the first five terms of the sequence given by the formula an = 4n + 1?

To find the first five terms of the sequence defined by the formula a_n = 4n + 1, we will substitute the values of n starting from 1 up to 5.

• For n = 1:
  a₁ = 4(1) + 1 = 4 + 1 = 5
• For n = 2:
  a₂ = 4(2) + 1 = 8 + 1 = 9
• For n = 3:
  a₃ = 4(3) + 1 = 12 + 1 = 13
• For n = 4:
  a₄ = 4(4) + 1 = 16 + 1 = 17
• For n = 5:
  a₅ = 4(5) + 1 = 20 + 1 = 21

So, the first five terms of the sequence are 5, 9, 13, 17, 21.