A Conversation for Repetends (Repeating Decimals)

Proof?

Post 1

Vandervecken

"You can find repetends in bases other than base 10, the decimal system; a strange, universal rule seems to apply, though:

The sum of the digits in any repetend is equal to some multiple of (b-1), where b is the numerical base in which you’re calculating, unless the divisor is equal to an odd multiple of (b-1), which produces different results."

The word "seems" suggests to me that no-one has been able to prove this statement yet. Is that the case?

Nice article, thanks! smiley - smiley


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