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Home » Solution: We seek the smallest integer \( x - DNSFLEX

Solution: We seek the smallest integer \( x - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 A car travels 150 km in 2 hours, then 200 km in 3 hours. Find the average speed for the entire trip.

📌 Total distance: \( 150 + 200 = 350 \text{ km} \)

📌 Total time: \( 2 + 3 = 5 \text{ hours} \)

📌 Average speed:

📌 \[ \frac{350}{5} = 70 \text{ km/h} \]

📌 A geometric series has first term 5 and common ratio 3. Find the sum of the first 4 terms.

📌 The sum \( S_n \) of the first \( n \) terms is \( S_n = a \frac{r^n - 1}{r - 1} \).

📌 Here, \( a = 5 \), \( r = 3 \), \( n = 4 \):

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