MosheBelfield MosheBelfield

16-06-2015
Mathematics

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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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Hippalectryon Hippalectryon

16-06-2015

Take [tex]k=11,l=1[/tex]

[tex]ak-al=a(k-l)=10\cdot a[/tex]

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