What are the first five terms of the sequence defined by the formula a(n) = 1 + 4n?

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To find the first five terms of the sequence defined by the formula a(n) = 1 + 4n, we need to substitute the values of n starting from 0 up to 4.

Here’s how the calculation works:

  1. For n = 0: a(0) = 1 + 4(0) = 1 + 0 = 1
  2. For n = 1: a(1) = 1 + 4(1) = 1 + 4 = 5
  3. For n = 2: a(2) = 1 + 4(2) = 1 + 8 = 9
  4. For n = 3: a(3) = 1 + 4(3) = 1 + 12 = 13
  5. For n = 4: a(4) = 1 + 4(4) = 1 + 16 = 17

Thus, the first five terms of the sequence are: 1, 5, 9, 13, 17.

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