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# "89" and the Fibonacci Series

### The reciprocal of 89, a Fibonacci number, is based on the Fibonacci series

This is a little curiousity involving the number 89, the twelfth number in the Fibonacci series.

If you take each Fibonacci number, divide it by 10 raised to the power of its position in the Fibonacci sequence and add them all together, you get 0.011235955..., the same number as the reciprocal of 89.

Note: You can see the beginning of the Fibonacci sequence in the first 6 digits of the decimal equivalent of 1/89. (i.e., 0,1,1,2,3,5 appears as 0.011235..)

 Note the Fibonacci series in green Note the sequence number of the Fibonacci series in red 1 / 89 =   0 / (10 ^ 1 ) +   1 / (10 ^ 2 ) +   1 / (10 ^ 3 ) +   2 / (10 ^ 4 ) +   3 / (10 ^ 5 ) +   5 / (10 ^ 6 ) +   8 / (10 ^ 7 ) + 13 / (10 ^ 8 ) + . . . 0.011235955 = 0.0 + 0.01 + 0.001 + 0.0002 + 0.00003 + 0.000005 + 0.0000008 + 0.00000013 + . . .

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