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Working with Fibonacci-type sequences

Algebra • Sequences

Key concepts

What you'll likely be quizzed about

  • A Fibonacci-type sequence begins with any two numbers, typically referred to as the first two terms.
  • Each subsequent term is generated by adding the two preceding terms together.
  • For example, starting with 1 and 2, the sequence progresses as follows: 1, 2, 3 (1+2), 5 (2+3), 8 (3+5).
  • This pattern can extend indefinitely, demonstrating its recursive nature.

Flashcards

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What is a recursive sequence?

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A recursive sequence is one where each term is derived from previous terms following a specific rule.

Key notes

Important points to keep in mind

Fibonacci sums the two previous terms.

Applications span art, finance, and nature.

Starting numbers define sequence variations.

The ratio approaches the golden ratio over time.

Always check term generation rules.

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