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Question: please answer 5 and 8 only...

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5. Suppose n 0 and a, aan are integers. Prove that any rational solution to the equation z ajz1 +- ..an-an 0 is an integer. aProve that the sam st… is not an integer for any n> 7. Prove that the sum 2n +1 is not an integer for any n > 0 8. Suppose n>0. Prove that all the binomial cocfficients r), j=0, 1, , n, are odd if and only if n is of the form2 1please answer 5 and 8 only.

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