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Home » Shop Smarter This Year: The Hottest Black Friday Deals of 2025 Revealed! - 500apps

Shop Smarter This Year: The Hottest Black Friday Deals of 2025 Revealed! - 500apps

📅 March 15, 2026 👤 scraface

Mar 15, 2026

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📌 Solution: Start with $ c_1 = 1 $ and compute:

📌 $ c_2 = P(1) = 1 - \frac{1^3}{3} = 1 - \frac{1}{3} = \frac{2}{3} $

📌 $ c_3 = P\left(\frac{2}{3}\right) = \frac{2}{3} - \frac{\left(\frac{2}{3}\right)^3}{3} = \frac{2}{3} - \frac{8}{81} = \frac{54 - 8}{81} = \frac{46}{81} $

📌 Thus, the value of $ c_3 $ is:

📌 \boxed{\frac{46}{81}}

📌 $$**Question:** A plant biologist is analyzing a genetic sequence pattern where the number of specific genetic markers appears in a recurring sequence: 5, 11, 17, 23, ... How many such markers will be present in the first 100 terms of this sequence?

📌 Solution:** The sequence given is an arithmetic sequence where the first term \( a = 5 \) and the common difference \( d = 11 - 5 = 6 \).

📌 The general formula for the \( n \)-th term of an arithmetic sequence is:

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