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b(n) = -4 - 2(n - 1)

Find the \[12^\text{th}\] term in the sequence.

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To find the \( 12^\text{th} \) term in the sequence defined by the formula \( b(n) = -4 - 2(n - 1) \), we need to substitute \( n = 12 \) into the formula.

Let's calculate it step-by-step:

  1. Substitute \( n = 12 \) into the formula: \[ b(12) = -4 - 2(12 - 1) \]

  2. Simplify the expression inside the parentheses: \[ 12 - 1 = 11 \]

  3. Now substitute this value back into the equation: \[ b(12) = -4 - 2(11) \]

  4. Calculate \( 2(11) \): \[ 2(11) = 22 \]

  5. Now substitute this value back in: \[ b(12) = -4 - 22 \]

  6. Finally, calculate: \[ b(12) = -26 \]

Therefore, the \( 12^\text{th} \) term in the sequence is \( \boxed{-26} \).