Every positive integer

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1: Prove or disprove: The sum of 2 irrational numbers can be rational.

2: Prove or disprove: For n >= 5, 4n < 2^n

3: Prove or disprove: That 5 divides 11^n -6 for every positive integer n.

4: Prove or disprove: 12 + 22 +···+ (n-1)2 + n2 = (n)(n+1)(2n+1) 6

Please write down each process as clearly and specific as possible

Reference no: EM131100476

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