9231 P13 - Jun 2011 - Q1 - 5 marks
6533
Find \(2^{2}+4^{2}+\ldots+(2 n)^{2}\).
Hence find \(1^{2}-2^{2}+3^{2}-4^{2}+\ldots-(2 n)^{2}\), simplifying your answer.
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