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Home » Avoid Cheap Stones—Why This Moissanite Chain Is a Smart Luxury Investment! - Upplift

Avoid Cheap Stones—Why This Moissanite Chain Is a Smart Luxury Investment! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 A geometric sequence starts with 2 and has a common ratio of 3. What is the 6th term?

📌 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:

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

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