Addition of Subscript F_4k+4: Explained with Examples

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Homework Help Overview

The discussion revolves around the properties of the Fibonacci sequence, specifically focusing on the relationship involving the term F_{4k+4} and its predecessors. Participants are exploring the correct formulation of this relationship.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster questions the validity of their understanding of the Fibonacci sequence's addition rule, suggesting an alternative formulation. Other participants reference standard definitions to clarify the correct relationship.

Discussion Status

The discussion is ongoing, with participants providing references to standard definitions and expressing gratitude for clarifications. There is an indication of differing interpretations regarding the Fibonacci sequence's properties.

Contextual Notes

Participants are navigating assumptions about the Fibonacci sequence and its established rules, with some expressing confusion about specific terms and their relationships.

Robb
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Homework Statement
Let ##F_n be the n-th Fibonacci number, where F_0=0 and F_1=1. Prove that if n is a multiple of 4, the F_n is a multiple of 3.
Relevant Equations
##F_{4k+4}
Can somebody please explain below

##F_{4k+4} = F_{4k+3} + F_{4k+2}##

I thought it would be

##F_{4k+4} = F_{4k+3} +F_{4k+1}##

Thanks!
 
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