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

In the given arithmetic sequence formula, \( a_n = 5 + (n - 1) \cdot 2 \), the variable \( n \) corresponds to the input \( x \) in the table. To find the corresponding \( y \) values, we need to substitute the \( x \) values into the formula.

### For \( x = 2 \):
Using the formula,
\[
a_2 = 5 + (2 - 1) \cdot 2
\]
\[
a_2 = 5 + 1 \cdot 2 = 5 + 2 = 7
\]

### For \( x = 4 \):
Using the formula,
\[
a_4 = 5 + (4 - 1) \cdot 2
\]
\[
a_4 = 5 + 3 \cdot 2 = 5 + 6 = 11
\]

### Completed Table
Now, we can fill in the missing values:

\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
2 & 7 \\
4 & 11 \\
\hline
\end{array}
\]

Thus, the values are \( y = 7 \) for \( x = 2 \) and \( y = 11 \) for \( x = 4 \).