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Home » Shocked the Internet: The Simple Stone Scissors Paper Game Became the Ultimate Challenge! - DNSFLEX

Shocked the Internet: The Simple Stone Scissors Paper Game Became the Ultimate Challenge! - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Sum after n terms: \(S_n = a(1 - (1/2)^n)/(1 - 1/2) = 2a(1 - 2^{-n})\)

📌 Set \(2a = 729\), so \(S_n = 729(1 - 2^{-n})\)

📌 We want to fill 729 ml, so \(729(1 - 2^{-n}) \geq 729\) → only when n→∞.

📌 Not helpful.

📌 Instead, question is: How many bottles are needed until the *sum of capacities* reaches 729? But total capacity is infinite.

📌 Given context, likely intended:

📌 A sequence where each bottle holds half the previous, starting with 729, and we want the number of terms until the volume filled (sum of capacities) exceeds or equals the total solution 729. But sum \(S_n = 729(1 - 2^{-n}) < 729\), never reaches.

📌 This is not working.

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