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
Remaining Attempts : 3

Answer 1

To complete the missing values in the table using the arithmetic sequence formula \( a_n = 5 + (n - 1) \cdot 2 \), we first need to compute \( y \) for the given values of \( x \) (which corresponds to \( n \)).

For \( x = 2 \):

Substitute \( n = 2 \) into the formula:

\[ a_2 = 5 + (2 - 1) \cdot 2 \] \[ a_2 = 5 + 1 \cdot 2 \] \[ a_2 = 5 + 2 = 7 \]

So, when \( x = 2 \), \( y = 7 \).

For \( x = 4 \):

Substitute \( n = 4 \) into the formula:

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

So, when \( x = 4 \), \( y = 11 \).

Completed Table:

Now we can fill in the missing values:

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

If you have any further questions or need additional assistance, feel free to ask!