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a) Show that C(2n,2)=2C(n,2)+n^2, n>=2 b) 2^(n+1) < 1+(n+1)2^n, n>=1

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a) Show that C(2n,2)=2C(n,2)+n^2, n>=2 b) 2^(n+1) < 1+(n+1)2^n, n>=1

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