To find the corresponding \( y \) values for the given \( x \) values using the arithmetic sequence formula \( a_n = 5 + (n - 1) \cdot 2 \), we first need to understand the relationship between \( x \) values and sequence indices \( n \).
Assuming \( x \) corresponds to the value of \( n \):
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For \( x = 2 \): \[ a_2 = 5 + (2 - 1) \cdot 2 = 5 + 1 \cdot 2 = 5 + 2 = 7 \]
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For \( x = 4 \): \[ a_4 = 5 + (4 - 1) \cdot 2 = 5 + 3 \cdot 2 = 5 + 6 = 11 \]
Now we can fill in the table with the calculated \( y \) values. The completed table would look like this:
\[ \begin{array}{|c|c|} \hline x & y \ \hline 2 & 7 \ 4 & 11 \ \hline \end{array} \]
So, the missing y-values for \( x = 2 \) and \( x = 4 \) are \( 7 \) and \( 11 \) respectively.