Question

Use the table to answer the question.
х У
2
a
4
b
Use the arithmetic sequence formula an = -8 + (n - 1) • 2 to find the missing values in the table.
(1 point)
0a=-6:6=-2
O a=-15; 6=-13
0 a=-12;6 =-10
0a=-10:6=-8

Answer 1

To find the missing values in the table using the arithmetic sequence formula \( a_n = -8 + (n - 1) \cdot 2 \), we need to calculate the values of \( a \) and \( 6 \) based on the position of \( n \).

The formula starts from \( n = 1 \):

1. For \( n = 1 \):
\[
a_1 = -8 + (1 - 1) \cdot 2 = -8
\]

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

3. For \( n = 6 \):
\[
a_6 = -8 + (6 - 1) \cdot 2 = -8 + 10 = 2
\]
Thus, \( 6 = 2 \).

Now let's check the options:

- \( a = -6; 6 = -2 \) (Incorrect)
- \( a = -15; 6 = -13 \) (Incorrect)
- \( a = -12; 6 = -10 \) (Incorrect)
- \( a = -10; 6 = -8 \) (Incorrect)

None of these match the calculated values. Ensure you're using the right \( n \) values.

Given the calculations:
- \( a = -6 \)
- \( 6 = 2 \)

The options do not correctly reflect these results. Please check the provided data or the options again.