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Home » The sum is $ 2 + (-8) = -6 $. - Blask

The sum is $ 2 + (-8) = -6 $. - Blask

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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The \(n\)-th term of an arithmetic sequence is:
a_n = a_1 + (n - 1)d
Calculate the duration of the 12th episode:
a_{12} = 15 + (12 - 1) \times 10 = 15 + 110 = 125 \text{ minutes}
The sum \(S_n\) of the first \(n\) terms of an arithmetic series is:
S_n = \frac{n}{2}(a_1 + a_n)
Substitute the known values:
S_{12} = \frac{12}{2}(15 + 125) = 6 \times 140 = 840 \text{ minutes}
Convert minutes to hours for clarity (optional), but since the questio...
\boxed{840}

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