Question

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

Answer 1

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.