#### 61

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• \( a_3 = 2(5) + 3 = 13 \)
• \( a_4 = 2(13) + 3 = 29 \)
• \( a_5 = 2(29) + 3 = 61 \)
• \[ x^2 - 4x + 3 = 0 \]
• \[ (x - 1)(x - 3) = 0 \]
• \[ x^2 + 12^2 = 13^2 \]

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