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Home » The possible values for \( t \) are: - Richter Guitar

The possible values for \( t \) are: - Richter Guitar

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Total = 12 + 12(0.15) + 12(0.15)(1.15) + 12(0.15)(1.15)^2 + ... for 6 terms

📌 This is geometric series with a = 12, d = 12×0.15 = 1.8 (but actually the increase is geometric with r = 1.15), so better:

📌 Let F = sum of forces: F = 12 + 12(1.15) + 12(1.15)^2 + 12(1.15)^3 + 12(1.15)^4 + 12(1.15)^5

📌 F = 12 [ (1.15^6 - 1) / (1.15 - 1) ] = 12 [ (2.31306 - 1) / 0.15 ] = 12 [1.31306 / 0.15] = 12 × 8.75373 = 105.04476

📌 Rounded to nearest hundredth: 105.04

📌 But for math olympiad precision, use exact calculation:

📌 1.15^6 = (23/20)^6 ≈ 2.31306, same as above.

📌 So final force ≈ 105.04 N

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