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Find the first three terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.

an = 4n

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To find the first three terms of the sequence defined by the formula \( a_n = 4n \), we will calculate \( a_n \) for \( n = 1 \), \( n = 2 \), and \( n = 3 \).

  1. For \( n = 1 \): \[ a_1 = 4(1) = 4 \]

  2. For \( n = 2 \): \[ a_2 = 4(2) = 8 \]

  3. For \( n = 3 \): \[ a_3 = 4(3) = 12 \]

Thus, the first three terms of the sequence are: \[ 4, 8, 12 \]