Fibonacci's multiplicative sequence

@article{Falcn2003FibonaccisMS,
  title={Fibonacci's multiplicative sequence},
  author={S. Falc{\'o}n},
  journal={International Journal of Mathematical Education in Science and Technology},
  year={2003},
  volume={34},
  pages={310 - 315}
}
  • S. Falcón
  • Published 2003
  • Mathematics
  • International Journal of Mathematical Education in Science and Technology
The aim of this work is to consider a sequence in which each term is obtained by multiplying both previous terms. This sequence is similar to Fibonacci's sequence but with some particularities that will be proved and verified. 
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References

SHOWING 1-3 OF 3 REFERENCES
A Fibonacci generalization and its dual
An interesting dual sequence for the Fibonacci sequence is presented in which the consecutive terms are constructed via multiplication of the preceding terms, instead of addition. Well-known results… Expand
The duality principle in teaching arithmetic and geometric series
The use of the same principle in different settings and in different branches of mathematics always provides reinforcement for the benefit of all the branches concerned. We could, thus, have at our… Expand
An Introduction to the Theory of Statistics
OF all the works a man may set himself to write, the most difficult must surely be an elementary text-book on statistics. The writer of a text-book on almost any scientific subject has to face the… Expand