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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 = –7n + 7

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To find the first three terms of the sequence defined by the formula \( a_n = -7n + 7 \), we will substitute \( n \) with 1, 2, and 3.

  1. For \( n = 1 \): \[ a_1 = -7(1) + 7 = -7 + 7 = 0 \]

  2. For \( n = 2 \): \[ a_2 = -7(2) + 7 = -14 + 7 = -7 \]

  3. For \( n = 3 \): \[ a_3 = -7(3) + 7 = -21 + 7 = -14 \]

So, the first three terms of the sequence are: \[ 0, -7, -14 \]