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Transcript
A NUMBER PROBLEM
J. WLODARSKI
Porz-Westhoven, Federal Republic of Germany
The last digit of one number is 6.
front of a given number.
Take away this digit and put it in
Thus a new number can be formed which will be 6 times bigger than the
original one.
What smallest of all possible numbers satisfies this condition?
Simple Solution
6
36
216
1296
7776
46656
•1016949
6779664
L-a period with 58 digits—*
The number to be found is:
1016949152542372881355932203389830508474576271186440677966 .
Find this number in another way using the Fibonacci terms.
Remark. 2, 8, 34, 144, ••• , etc. are third, sixth, ninth, twelfth, •••
(general: F . , where n = 1, 2, 3, 4, ' • ' ) ' , etc. terms of Fibonacci sequence 1, 1, 2, 3, 5, ••• .
The solution by using the Fibonacci numbers is given on the following page.
[Continued on page 198. J
195