Fibonacci-artige Folge

Lernen

Eine Folge, bei der jedes Glied die Summe der beiden vorherigen ist.

A Fibonacci-type sequence (also called a recursive additive sequence) is one where each term equals the sum of the two terms before it. The classic Fibonacci sequence starts with 0 and 1, but any two starting numbers create a valid Fibonacci-type sequence. These patterns appear in nature (flower petals, pinecones, shells) and have fascinating mathematical properties.

aₙ = aₙ₋₁ + aₙ₋₂

• 1, 1, 2, 3, 5, 8, 13, 21... (classic Fibonacci)
• 2, 5, 7, 12, 19, 31... (starts with 2 and 5)
• 1, 3, 4, 7, 11, 18... (Lucas numbers)

So erkennen Sie es

• Check if each term equals the sum of the two before it
• Look for accelerating growth that's not purely multiplicative
• The differences between terms will themselves form a pattern

Häufige Fehler

• Only expecting the classic 1, 1, 2, 3, 5... pattern
• Confusing with simple addition sequences
• Not checking multiple pairs of consecutive sums

Übungshinweise

Zahlenreihen