Use the arithmetic sequence formula an=5+(n−1)⋅2

Question

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 \( x = 4 \).