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arrange these events in south africa's history in chronological order - Network4

📅 May 20, 2026 👤 scraface

May 20, 2026

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📌 The sum of the first \(n\) terms of an arithmetic sequence is given by \(S_n = 3n^2 + 5n\). Find the 10th term of the sequence.

📌 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 \(v + 20\) km/h. If the total time for the journey is 5 hours, find \(v\).

📌 The time for the first part is \(\frac{120}{v}\) hours.

📌 The time for the second part is \(\frac{180}{v+20}\) hours.

🔥 Popular Posts

\[ r \approx 0.69315\% \]
#### 0.0069315
A science journalist is analyzing the impact of solar panel installati...
Initial efficiency, \( E_0 = 18\% \)
Annual growth rate, \( r = 2\% = 0.02 \)
Time, \( t = 15 \) years
Exponential growth formula: \( E(t) = E_0 \times (1 + r)^t \)
\[ E(t) = 18 \times (1 + 0.02)^{15} \]
Calculate \( (1.02)^{15} \):
\[ (1.02)^{15} \approx 1.3498588 \]

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