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 \( n = 1 \):
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For \( n = 1 \): \[ a_1 = -8 + (1 - 1) \cdot 2 = -8 \]
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For \( n = 2 \): \[ a_2 = -8 + (2 - 1) \cdot 2 = -8 + 2 = -6 \]
Thus, \( a = -6 \). -
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.