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(Solved): 1. Prove that the sum of any 2 consecutive triangular numbers is a square number. (Note: a direct c ...



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1. Prove that the sum of any 2 consecutive triangular numbers is a square number. (Note: a direct calculation may work better than induction here. A picture proof is also possible) 2. Prove the identity where indicates the th Fibonacci number.


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To prove that the sum of any two consecutive triangular numbers is a square number, we need to estab...
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