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Funky Fibonacci Fractions (Posted on 2007-02-22) Difficulty: 4 of 5
100/89= 1.1235..., which includes the first five Fibonacci numbers.

10000/9899=1.010203050813213455... includes the first ten Fibonacci numbers.

1000000/998999=1.001002003005... produces the first 15 Fibonacci numbers.

If you add two zeros in the numerator and two nines (one at the beginning, one at the end) in the denominator, does this Fibonacci production go on?

See The Solution Submitted by Old Original Oskar!    
Rating: 4.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution re: Unsatisfying answer (spoiler...sort of) ... and further | Comment 2 of 5 |
(In reply to Unsatisfying answer (spoiler...sort of) by Charlie)

Increasing the precision and extending the numbers:

   10   print 10000000000/9999899999
   20   A=1:B=1
   30   repeat
   40     C=A+B:A=B:B=C:print C
   50   until C>99999
OK
run
 1.00001000020000300005000080001300021000340005500089001440023300377006100098701
5970258404181067651094617711286574636875026213949642
 2
 3
 5
 8
 13
 21
 34
 55
 89
 144
 233
 377
 610
 987
 1597
 2584
 4181
 6765
 10946
 17711
 28657
 46368
 75025
 121393
OK

  Posted by Charlie on 2007-02-22 16:08:35

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