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📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 5A glaciologist measures that a glacier retreated 120 meters over the first 4 years of observation and then accelerated to retreat 210 meters over the next 3 years. If the acceleration continues linearly (i.e., the annual retreat increases by a constant amount each year), and the pattern continues, how many meters will the glacier retreat in the next 5 years?

📌 The average annual retreat in the first 4 years is 120 / 4 = 30 meters/year.

📌 In the next 3 years, the retreat was 120 → 210 meters over 180 days, or using finite differences, we analyze the *annual* retreat increments.

📌 Let the annual retreat amounts be: Year 1–4: ?, ?, ?, ?; Year 5: A, Year 6: B, Year 7: C.

📌 But since the acceleration is linear, model the *annual retreat* as a sequence with constant second difference.

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