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# hw1 - week after you have had a chance to do them yourself...

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COP 3503 – Practice Problems #1 – Induction Proofs Here are four straight-forward induction problems that you can use for practice doing induction proofs. Remember to prove the base case by direct substitution, then present the inductive hypothesis followed by the induction step. I’ll post solutions to these problems next
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Unformatted text preview: week, after you have had a chance to do them yourself. 1. ∑ =-+ =-n 1 i 3 1 ) 1 n 4 )( 1 n ( n ) 1 i 2 ( i 2 2. ∑ = + + = + n 1 i 3 4 ) 2 n )( 1 n ( n ) 2 i 2 ( i 2 3. ∑ = + = + n 1 i ) 1 n ( 4 n ) 2 i 2 ( i 2 1 4. ∑ = + + + = + + + n 1 i ) 2 n )( 1 n ( 4 ) 11 n 5 ( n ) 2 i )( 1 i ( i 3 i...
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