Decimal expansion of 1/89 is Fibonacci sequence added together in a simple way.

Re:Decimal expansion of 1/89 is Fibonacci sequence added tog... by kmcgivney on Thursday June 11, 2009 @05:04PM (#653619)

I think it's simpler to go this route:

If S is the sum of f(i)10^(-(i+1)), then you could break up that sum into two other sums (using the fibonacci relationship), express them in terms of S, and solve.

I get S = (1/100)S + (1/10)S + .01

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Re:Decimal expansion of 1/89 is Fibonacci sequence added tog... by telegraph on Thursday June 11, 2009 @07:08PM (#653844)

Thanks, this I understand.

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