Arithmetische Folge

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Eine Folge, bei der jedes Glied um einen konstanten Betrag (Differenz) vom vorherigen abweicht.

An arithmetic sequence (also called arithmetic progression) is a sequence of numbers where the difference between consecutive terms is constant. This constant is called the 'common difference'. Arithmetic sequences are among the most fundamental patterns in mathematics and appear frequently in real-world situations like counting, scheduling, and linear growth.

aₙ = a₁ + (n-1)d, where d is the common difference

• 2, 5, 8, 11, 14... (common difference = +3)
• 20, 17, 14, 11, 8... (common difference = -3)
• 1, 1, 1, 1, 1... (common difference = 0)

So erkennen Sie es

• Calculate the difference between consecutive terms
• If all differences are the same, it's arithmetic
• The pattern is 'add (or subtract) the same number each time'

Häufige Fehler

• Confusing with geometric sequences (multiply vs add)
• Miscounting when the common difference is negative
• Forgetting that constant sequences (d=0) are also arithmetic

Übungshinweise

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