Use the arithmetic sequence formula an=5+(n−1)⋅2 to complete the missing values in the table.(1 point) This table displays x-values with missing corresponding y-values to be filled in. x y 2 4

1 answer

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 \( n \):

  1. For \( x = 2 \): \[ a_2 = 5 + (2 - 1) \cdot 2 = 5 + 1 \cdot 2 = 5 + 2 = 7 \]

  2. 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.