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Home » You Won’t Believe How Comfortable This Swivel Chair Changes Your Workspace! - Blask

You Won’t Believe How Comfortable This Swivel Chair Changes Your Workspace! - Blask

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Alternative: The first bottle used has capacity 729, but we only fill part. But question says "the largest", implying relative.

📌 Given ambiguity, assume standard geometric series: total volume to be distributed in a sequence of bottles with capacities in geometric progression: \(a, a/2, a/4, \dots\)

📌 But total is \(S = a / (1 - r) = a / (1 - 1/2) = 2a\)

📌 Set \(2a = 729\) → \(a = 364.5\)

📌 Then bottles: 364.5, 182.25, 91.125, 45.5625, 22.78125, 11.390625, 5.6953125, 2.84765625, 1.423828125, 0.7119140625, ...

📌 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→∞.

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