Posted by sarah on .
in the number 0.123451234512345.........(recurring)what is the 1992th digit after the decimal point?

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Knights,
goes in pattern 12345
find the remainder when divided by 5.
It is 2.
Thus it is 2. (coincidentally) 
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bobpursley,
1992/5=376 groups of five, so the last digit is a 5.

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Knights,
Wait...isnt 1992 not divisible by 5...? It has a remainder of 2 so it would be 2 right?

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Reiny,
1992 รท 5 leaves a remainder of 2 (then length of the period is 5, that's why I divided by 5)
Look at the 7th digit after the decimal place
when I divide 7 by 5 I get a remainder of 2
when I divide 12 by 5 I get a remainder of 2
when I divide 17 by 5 I get a remainder of 2
the 7th digit, the 12th digit and the 17th digit are each equal to 2
so the 1992nd digit is a 2