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Show that 12n cannot end with digit 0 or 5 for any natural n

Answer» 12 = 22{tex}\\times{/tex} 3{tex}\\therefore 12^n=(2^2 \\times3)^n=(2^2)^n \\times3^n{/tex}\xa0So, only primes in the factorisation of 12n are 2 and 3 and, not 5.Hence, 12n cannot end with digit 0 or 5.


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