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Home » \[ 0.3 = 0.1x \] - IQnection

\[ 0.3 = 0.1x \] - IQnection

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 The increments themselves form a geometric sequence: increase after 1st = 12*r, but since the force grows multiplicatively by 15% more than the last jump, the total force is a geometric series with initial term a = 12 and common ratio r = 1.15 (each new force is previous + 15% of the *amount* of increase — but since the problem states "increases by 15% of the previous increase", and assuming multiplicative effect on total, we model total finite model as a geometric series with a = 12, r = 1.15, n = 6.

📌 Total force = a(r^n - 1)/(r - 1) = 12(1.15^6 - 1)/(0.15)

📌 1.15^6 ≈ 2.313

📌 So, (2.313 - 1)/0.15 = 1.313/0.15 ≈ 8.7533

📌 Then, 12 × 8.7533 ≈ 105.04

📌 More accurately, 1.15^6 = 2.31306, so (2.31306 - 1)/0.15 = 1.31306/0.15 = 8.75373

📌 × 8.75373 = 105.04476 ≈ 105.04 N

📌 But since the increases are additive and the model assumes multiplicative growth in increment magnitude, and based on standard interpretation, total force = sum of geometric series:

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