perplexus.info :: Numbers : Preperiod and Period Poser

Preperiod and Period Poser (Posted on 2023-06-09)

If (a,b)ε(0,1), then:

a/b
=               _________________
0.a₁a₂.........a_nb₁b₂...........b_m
    Preperiod      Period

Determine the respective lengths of the preperiod and the postperiod of (10!)^-1

*** Computer program/excel solver methodologies are welcome, but a semi-analytic (hand calculator and p&p) methodology is preferred.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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computer solution

| Comment 1 of 3

>> digits 100

>> 1/factorial(vpa(10))

ans =

0.0000002755731922398589065255731922398589065255731922398589065255731922398589065255731922398589065255731922

shows a preperiod of length 8: 00000027

and a period of length 18: 557319223985890652

Posted by Charlie on 2023-06-09 13:21:15

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