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Home » You’ll Never Guess What Makes a Duplex House the Ultimate Home Deal! - Abbey Badges

You’ll Never Guess What Makes a Duplex House the Ultimate Home Deal! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📝 Recent Posts

The sum of the first \(n\) terms of an arithmetic sequence is given by...
The \(n\)-th term \(a_n\) is given by \(a_n = S_n - S_{n-1}\).
\(S_{10} = 3(10)^2 + 5(10) = 300 + 50 = 350\).
\(S_9 = 3(9)^2 + 5(9) = 243 + 45 = 288\).
Thus, \(a_{10} = 350 - 288 = 62\).
A train travels 120 km at a speed of \(v\) km/h and then 180 km at \(v...
The time for the first part is \(\frac{120}{v}\) hours.
The time for the second part is \(\frac{180}{v+20}\) hours.
The total time is \(\frac{120}{v} + \frac{180}{v+20} = 5\).
Multiply through by \(v(v+20)\):

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