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\frac12 \left(2^n - 2\right) - Parker Core Knowledge

📅 May 3, 2026 👤 scraface

May 03, 2026

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\(a_4 = 2(4)^2 + 3(4) + 1 = 57\)
\(a_5 = 2(5)^2 + 3(5) + 1 = 86\)
Sum = 6 + 15 + 34 + 57 + 86 = 200
### Question 4
A cylindrical tank with a radius of 3 meters is filled with water to a...
Volume of original tank = \(\pi imes (3)^2 imes 4 = 36\pi\)
Radius of new tank = 6 meters, same height = 4 meters
Volume of new tank = \(\pi imes (6)^2 imes h = 36\pi h\)
Equating volumes: \(36\pi = 36\pi h\)
\(h = 1\)

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