Question: I submitted the proof below and was advised by my teacher that it is not possible to prove. Please review the proof below and help

I submitted the proof below and was advised by my teacher that it is not possible to prove. Please review the proof below and help me to understand where I went wrong. The proof that I submitted is...

For all integersof n,ifn, is a multiple of 2, thenn can be written as the sum of consecutive integers.

The response I received from my professor is:

Thank you for sharing your thoughts with the class. The statement you shared is notcorrect. You will not be able to prove. For example 6 is an even number and it can NOT be written as the sum of two consecutive integers. Can you modify your statement and share a proof?

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