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=−15
; b=−13
a equals negative 15 ; b equals negative 13

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

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

a=−10
; b=−8
a equals negative 10 ; b equals negative 8
Skip to navigation
page 17 of 17

Answer 1

To find the missing values \( a \) and \( b \) using the arithmetic sequence formula \( a_n = -8 + (n - 1) \cdot 2 \), we need to evaluate the function for the values of \( x \) given in the table.

The formula gives the nth term of the sequence, where \( n \) is the position of the term in the sequence.

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

2. For \( x = 4 \):
\[
a_4 = -8 + (4 - 1) \cdot 2 = -8 + 3 \cdot 2 = -8 + 6 = -2
\]
So, \( b = -2 \).

Thus, the values are:

- \( a = -6 \)
- \( b = -2 \)

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