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Home » \( n = \frac-1 \pm 412 \). - Midis

\( n = \frac-1 \pm 412 \). - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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The duration of each episode forms an arithmetic sequence:
15, 25, 35, \ldots
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}

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