Question

Use the arithmetic sequence formula an=5+(n−1)⋅2 to complete the missing values in the table.(1 point)
x y
2
4

Answer 1

To find the missing values in the table using the arithmetic sequence formula \( a_n = 5 + (n-1) \cdot 2 \), we will substitute the values for \( n \) corresponding to \( x \) values.

1. For \( x = 2 \):
\[
a_2 = 5 + (2-1) \cdot 2 = 5 + 1 \cdot 2 = 5 + 2 = 7
\]
So, \( y \) when \( x = 2 \) is \( 7 \).

2. For \( x = 4 \):
\[
a_4 = 5 + (4-1) \cdot 2 = 5 + 3 \cdot 2 = 5 + 6 = 11
\]
So, \( y \) when \( x = 4 \) is \( 11 \).

Now, filling in the table:

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