Step-by-step explanation:To find the first five terms of the sequence defined by the formula \( a_n = 7n + 5 \), we can substitute \( n \) with values from 1 to 5.1. For \( n = 1 \): \[ a_1 = 7(1) + 5 = 7 + 5 = 12 \]2. For \( n = 2 \): \[ a_2 = 7(2) + 5 = 14 + 5 = 19 \]3. For \( n = 3 \): \[ a_3 = 7(3) + 5 = 21 + 5 = 26 \]4. For \( n = 4 \): \[ a_4 = 7(4) + 5 = 28 + 5 = 33 \]5. For \( n = 5 \): \[ a_5 = 7(5) + 5 = 35 + 5 = 42 \]Thus, the first five terms of the sequence are:- \( a_1 = 12 \)- \( a_2 = 19 \)- \( a_3 = 26 \)- \( a_4 = 33 \)- \( a_5 = 42 \)In summary, the first five terms are: **12, 19, 26, 33, 42**.