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Home » Multiplying through by \(k(k+1)\) gives: - Databee Business Systems

Multiplying through by \(k(k+1)\) gives: - Databee Business Systems

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📝 Recent Posts

Problem:** A car depreciates such that its value after \( t \) years i...
Solve \( 25000(0.85)^t < 10000 \)
Divide: \( (0.85)^t < \frac{10000}{25000} = 0.4 \)
Take logarithm: \( t \ln(0.85) < \ln(0.4) \)
\( t > \frac{\ln(0.4)}{\ln(0.85)} \approx \frac{-0.9163}{-0.1625} \app...
So, after 6 years, value drops below $10,000.
Problem:** A function \( f(x) = x^3 - 6x^2 + 11x - 6 \) has roots \( r...
By Vieta’s formulas:
\( r + s + t = 6 \), \( rs + rt + st = 11 \), \( rst = 6 \)
\( r^2 + s^2 + t^2 = (r + s + t)^2 - 2(rs + rt + st) = 6^2 - 2(11) = 3...

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