Question

Use the table to answer the question.

x y
2 a
4 b
Use the arithmetic sequence formula an=−8+(n−1)⋅2
to find the missing values in the table.

(1 point)
Responses

a=−6
; b=−2
a equals negative 6 ; b equals negative 2

a=−10
; b=−8
a equals negative 10 ; b equals negative 8

a=−12
; b=−10
a equals negative 12 ; b equals negative 10

a=−15
; b=−13

Answer 1

To find the missing values in the table using the arithmetic sequence formula \( a_n = -8 + (n - 1) \cdot 2 \), we first identify the values of \( n \) for \( x \).

- For \( x = 2 \):
\( n = 2 \)
\[
a_2 = -8 + (2 - 1) \cdot 2 = -8 + 2 = -6
\]
So, \( a = -6 \).

- For \( x = 4 \):
\( n = 4 \)
\[
a_4 = -8 + (4 - 1) \cdot 2 = -8 + 6 = -2
\]
So, \( b = -2 \).

Thus, the missing values in the table are \( a = -6 \) and \( b = -2 \).

The correct response is:
**a = -6; b = -2**.