Fibonacci Sequences: Sums of Preceeding Terms & Nature

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SUMMARY

The discussion centers on Fibonacci sequences, specifically the sums of preceding n terms where n is greater than 2. It highlights the occurrence of such sequences in nature and references the Fibonacci sequence as a foundational concept. Participants express interest in exploring the mathematical properties and natural phenomena related to these extended sequences. The conversation emphasizes the abundance of information available online regarding Fibonacci numbers.

PREREQUISITES
  • Understanding of Fibonacci sequences and their mathematical properties
  • Familiarity with sequences and series in mathematics
  • Knowledge of natural occurrences of mathematical patterns
  • Basic research skills to navigate online resources
NEXT STEPS
  • Research the mathematical properties of sums of preceding n terms in Fibonacci sequences
  • Explore the application of Fibonacci sequences in natural phenomena
  • Investigate related sequences such as Lucas numbers and their properties
  • Learn about the Golden Ratio and its connection to Fibonacci sequences
USEFUL FOR

Mathematicians, educators, students, and anyone interested in the intersection of mathematics and natural patterns will benefit from this discussion.

RJ Emery
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While a Fibonacci sequence is the sum of the previous two terms, what of sums of the preceeding n terms, and have such sequences (n > 2) been found to occur in the natural world?
 
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Lots of info online

Lots of info online. Fibonacci sequence http://en.wikipedia.org/wiki/Fibonacci_number"
 
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ktoz said:
Lots of info online. Fibonacci sequence http://en.wikipedia.org/wiki/Fibonacci_number"
Thank you for the references.
 
Last edited by a moderator:

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