What is the remainder !?!?!?!?
N = + + + + ... +
What is the remainder when N is divided by 6 ?
The answer is 1.
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1 solution
Clearly, the remainder when 1 is divided by 6 leaves 1 . Similarly, 5 leaves a remainder of 5 when divided by 6 . Then, we see that the summation of two powers of 5 leaves zero remainder. Since the summation ends at 5 2 5 5 4 , hence the remainder is 1 .