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Home » \boxed{\left( \frac425, \frac7825 \right)} - Baxtercollege

\boxed{\left( \frac425, \frac7825 \right)} - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 The formula for the \( n \)-th term of a geometric sequence is \( a_n = a \cdot r^{n-1} \), where \( a \) is the first term and \( r \) is the common ratio.

📌 \[ a_6 = 2 \cdot 3^{6-1} = 2 \cdot 3^5 = 2 \cdot 243 = 486 \]

📌 Simplify \( (x^2 - 9)/(x + 3) \) and state any restrictions.

📌 Factor the numerator using the difference of squares:

📌 \[ x^2 - 9 = (x - 3)(x + 3) \]

📌 The expression simplifies to:

📌 \[ rac{(x - 3)(x + 3)}{x + 3} = x - 3 \]

📌 Restriction: \( x

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