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Home » #### $rac{\sqrt2}2$ - Silent Sales Machine

#### $rac{\sqrt2}2$ - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Therefore, the total time required is 8 hours.

📌 Question:** A science communicator is creating a video series with 12 episodes. If each episode is 10 minutes longer than the previous one, and the first episode is 15 minutes long, what is the total duration of the entire series?

📌 This is an arithmetic series where each term increases by a constant difference. We'll find the total duration by calculating the sum of the series.

📌 Number of Episodes (n):** 12

📌 First Episode Duration (a₁):** 15 minutes

📌 Common Difference (d):** 10 minutes

📌 The duration of each episode forms an arithmetic sequence:

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