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1. (10 points) Define the following sequence of integers recursively as 1 = 1,t2=1, to = 20n-1+ 2tn-2 for all n > 3. Prove that

1. (10 points) Define the following sequence of integers recursively as 1 = 1,t2=1, to = 20n-1+ 2tn-2 for all n > 3. Prove that tn > 2" for all n > 6

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