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

an = 8n − 7

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To find the first four terms of the sequence defined by the formula \( a_n = 8n - 7 \), we will calculate the values for \( n = 1, 2, 3, \) and \( 4 \).

  1. For \( n = 1 \): \[ a_1 = 8(1) - 7 = 8 - 7 = 1 \]

  2. For \( n = 2 \): \[ a_2 = 8(2) - 7 = 16 - 7 = 9 \]

  3. For \( n = 3 \): \[ a_3 = 8(3) - 7 = 24 - 7 = 17 \]

  4. For \( n = 4 \): \[ a_4 = 8(4) - 7 = 32 - 7 = 25 \]

Thus, the first four terms of the sequence are:

\[ 1, 9, 17, 25 \]