Numbers puzzles( rec.puzzles)

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1 total messages Started by Shantanu Desai Wed, 29 Dec 1999 00:00

#178

Author: Shantanu Desai
Date: Wed, 29 Dec 1999 00:00

12 lines
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X-Orig-MsgId: <84e2t0$cr2$2@news1.bu.edu>

1. What is the smallest number which when multiplied with 999 999 999
gives a number with all ones?

2. Prove that all numbers can be expressed as the sum of a non repetitive
set of fibonacci numbers (a_n = a_n-1 + a_n-2, a_0 = 0, a_1 = 1).

3. Prove that the sum of eight consecutive Fibonacci numbers cannot be
a fibonacci number.

happy puzzling!

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