The given arithmetic sequence formula is:
\[ a_n = 5 + (n - 1) \cdot 2 \]
To complete the missing values in the table, we can calculate the first few terms of the sequence using this formula, substituting different values of \(n\):
-
For \(n = 1\): \[ a_1 = 5 + (1 - 1) \cdot 2 = 5 + 0 = 5 \]
-
For \(n = 2\): \[ a_2 = 5 + (2 - 1) \cdot 2 = 5 + 2 = 7 \]
-
For \(n = 3\): \[ a_3 = 5 + (3 - 1) \cdot 2 = 5 + 4 = 9 \]
-
For \(n = 4\): \[ a_4 = 5 + (4 - 1) \cdot 2 = 5 + 6 = 11 \]
-
For \(n = 5\): \[ a_5 = 5 + (5 - 1) \cdot 2 = 5 + 8 = 13 \]
So, the first five terms of the arithmetic sequence \(a_n\) are:
\[ \begin{align*} n = 1, & \quad a_1 = 5 \ n = 2, & \quad a_2 = 7 \ n = 3, & \quad a_3 = 9 \ n = 4, & \quad a_4 = 11 \ n = 5, & \quad a_5 = 13 \ \end{align*} \]
If you provide the specific table structure, I can help you complete it with the corresponding values.