1.

Check whether 2^n can end with the digit 6 for any n €N

Answer»

2^1 (mod 10) = 2

2^2 (mod 10) = 4

2^3 (mod 10) = 8

2^4 (mod 10) = 6

2^5 (mod 10) = 2

It's clear that the units DIGITS of the POWERS of TWO repeat in this pattern. Thus, no power of two will have a units DIGIT of 6.


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