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Home » Find $ \lim_n \to \infty a_n $. - Malaeb

Find $ \lim_n \to \infty a_n $. - Malaeb

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 \div 110 = 0.7955 \Rightarrow 79.55\%

📌 79.55% ≥ 15% → decrease is significant.

📌 Answer:** Average = \(\boxed{87.75}\) mm, Yes (decrease ≈ 79.55%)

📌 Algebra – Exponential Growth in Tree Planting

📌 An environmental design project plants 50 trees in year 1, and the number increases by 20% annually. How many trees are planted in year 5?

📌 Use geometric sequence: \(a_n = a \cdot r^{n-1}\)

📌 \(a = 50\), \(r = 1.2\), \(n = 5\)

📌 a_5 = 50 \cdot (1.2)^4 = 50 \cdot 2.0736 = 103.68 \approx 104

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