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#### -1 + 2√3 - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📝 Recent Posts

A geometric sequence has first term 4 and common ratio \( \frac{3}{2}...
Sum of geometric sequence: \( S_n = a \frac{r^n - 1}{r - 1} \),
\( a = 4 \), \( r = \frac{3}{2} \), \( n = 5 \).
\( S_5 = 4 \cdot \frac{(\frac{3}{2})^5 - 1}{\frac{3}{2} - 1} = 4 \cdot...
As fraction: \( \frac{1688}{32} = \frac{211}{4} \).
#### \( \frac{211}{4} \)
Combine logs: \( \log_2(x(x - 2)) = 3 \) → \( x(x - 2) = 2^3 = 8 \).
So, \( x^2 - 2x - 8 = 0 \) → factor: \( (x - 4)(x + 2) = 0 \).
So \( x = 4 \) or \( x = -2 \). But \( x > 2 \) for log to be defined,...
A ladder 10 meters long leans against a wall, forming a 75° angle with...

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