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• \[ 15x - 500 = 1000 \]
• \[ 15x = 1500 \]
• \[ x = 100 \]
• \[ a_n = a_1 \cdot r^{n-1} \]
• \[ a_6 = 3 \cdot 2^{6-1} = 3 \cdot 32 = 96 \]
• \[ \pi \times 5^2 = 25\pi \, \text{cm}^2 \]

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