To find the missing values \(a\) and \(b\) in the table using the arithmetic sequence formula \(a_n = -8 + (n-1) \cdot 2\), we need to calculate the values of the sequence at \(n = 2\) and \(n = 4\).
1. For \(n = 2\):
\[
a_2 = -8 + (2-1) \cdot 2
\]
\[
a_2 = -8 + 1 \cdot 2
\]
\[
a_2 = -8 + 2 = -6
\]
Thus, \(a = -6\).
2. For \(n = 4\):
\[
a_4 = -8 + (4-1) \cdot 2
\]
\[
a_4 = -8 + 3 \cdot 2
\]
\[
a_4 = -8 + 6 = -2
\]
Thus, \(b = -2\).
So, the missing values are:
- \(a = -6\)
- \(b = -2\)
The correct response is:
**a = -6; b = -2**.