1. The problem asks for the first five terms of an arithmetic sequence where the first term $a_1 = 2$ and the common difference $d = 7$. 2. The formula for the $n$-th term of an arithmetic sequence is: $$a_n = a_1 + (n-1)d$$ This means each term is found by adding the common difference $d$ to the previous term. 3. Calculate each term step-by-step: - $a_1 = 2$ - $a_2 = 2 + (2-1) \times 7 = 2 + 7 = 9$ - $a_3 = 2 + (3-1) \times 7 = 2 + 14 = 16$ - $a_4 = 2 + (4-1) \times 7 = 2 + 21 = 23$ - $a_5 = 2 + (5-1) \times 7 = 2 + 28 = 30$ 4. Therefore, the first five terms of the arithmetic sequence are: $$2, 9, 16, 23, 30$$