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

Question

to complete the missing values in the table.(1 point)
x y
2
4

Answer 1

To use the arithmetic sequence formula \( a_n = 5 + (n - 1) \cdot 2 \), we need to evaluate the formula for the specified values of \( n \).

The formula represents an arithmetic sequence where:

• \( a_n \) is the value of the nth term,
• \( 5 \) is the first term,
• \( 2 \) is the common difference.

Now let's complete the table for \( n = 2 \) and \( n = 4 \):

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

2. For \( n = 4 \): \[ a_4 = 5 + (4 - 1) \cdot 2 = 5 + 3 \cdot 2 = 5 + 6 = 11 \]

Now we can fill in the table:

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

So the completed values are:

• When \( x = 2 \), \( y = 7 \).
• When \( x = 4 \), \( y = 11 \).