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Μια ακολουθία όπου κάθε όρος διαφέρει από τον προηγούμενο κατά ένα σταθερό ποσό (κοινή διαφορά).

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)

Πώς να το αναγνωρίζετε

• 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'

Συνηθισμένα λάθη

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

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