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

Question

x y
2
4

Answer 1

To complete the missing values in the table using the provided arithmetic sequence formula \( a_n = 5 + (n - 1) \cdot 2 \), we need to plug in the corresponding values of \( n \) (which in this case corresponds to the values of \( x \)).

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

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

Now, the completed table is:

| x | y | |---|----| | 2 | 7 | | 4 | 11 |