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[" 4."5^(n)-1" is divisible by "4" ."],[...

[" 4."5^(n)-1" is divisible by "4" ."],[5,7^(2n)+2^(3n)-:3^(n)1" is divisible by "25" for any natural number "n>=1" ."]

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7^(2n) + 2^(3n-3) 3^(n-1) is divisible by 25 for any natural number n gt 1 .

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prove that 4^(n)-1 is divisible by 3, for each natural number n.

prove that 4^(n)-1 is divisible by 3, for each natural number n.