To find the seventh term of the sequence defined by the explicit formula \( a_n = 4 - 3n \), we need to substitute \( n = 7 \) into the formula.
\[ a_7 = 4 - 3(7) \]
Calculating this step-by-step:
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First, calculate \( 3(7) \): \[ 3(7) = 21 \]
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Then, substitute that back into the formula: \[ a_7 = 4 - 21 \]
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Finally, perform the subtraction: \[ a_7 = 4 - 21 = -17 \]
Therefore, the seventh term \( a_7 \) is \( -17 \).
The correct response is:
- \( a_7 = -17 \)