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Home » So the largest integer \( n \) is 83. - Esdistancia

So the largest integer \( n \) is 83. - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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📌 Total time = \( 2.5 + 1.875 = 4.375 \) hours.

📌 Total distance = \( 150 \times 2 = 300 \) km.

📌 Average speed = \( \frac{300}{4.375} \approx 68.57 \) km/h.

📌 #### 150 km, 68.57 km/h

📌 If the sum of the first \( n \) natural numbers is 210, find \( n \).

📌 The formula for the sum is \( \frac{n(n+1)}{2} = 210 \).

📌 Solving \( n(n+1) = 420 \).

📌 \( n^2 + n - 420 = 0 \).

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