To complete the missing values in the table using the provided arithmetic sequence formula \( a_n = 5 + (n - 1) \cdot 2 \), we need to plug in the corresponding values of \( n \) (which in this case corresponds to the values of \( x \)).
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For \( x = 2 \): \[ a_2 = 5 + (2 - 1) \cdot 2 \] \[ a_2 = 5 + 1 \cdot 2 = 5 + 2 = 7 \] So, when \( x = 2 \), \( y = 7 \).
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For \( x = 4 \): \[ a_4 = 5 + (4 - 1) \cdot 2 \] \[ a_4 = 5 + 3 \cdot 2 = 5 + 6 = 11 \] So, when \( x = 4 \), \( y = 11 \).
Now, the completed table is:
| x | y | |---|----| | 2 | 7 | | 4 | 11 |