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Prove that if a is a natural number, then there exist two unequal natural numbers k and l for which ak − al is divisible by 10.
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Apr 16, 2016
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Prove that if a is a natural number, then there exist two unequal natural numbers k and l for which ak − al is divisible by 10.
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3. Suppose that a positive integer is written in decimal notation as n = akak-1… a2a1a0 where 0 ai 9. Prove that n is divisible by 9 if and only if the sum of its digits ak + ak–1 + … + a1 + a0 is divisible
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