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Prove or disprove the following conjectures, using either proof by exhaustion or disproof by counterexample. State the proof/disproof method used in each case. 1. n2

Prove or disprove the following conjectures, using either proof by exhaustion or disproof by counterexample. State the proof/disproof method used in each case. 1. n2 +n + 15 20 for 1sns 4 2. n2 = 21 for 2sns 4

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