arithmetic sequence

An arithmetic sequence, also known as an arithmetic progression, is a sequence of numbers where the difference between any two consecutive terms is constant. This constant difference is called the common difference. For example, the sequence 3, 5, 7, 9 is an arithmetic sequence with a common difference of 2.1

The concept of an arithmetic sequence is fundamental in mathematics and has historical roots dating back to ancient Greek philosophers like Pythagoras, who explored numerical relationships in areas such as music. A recurrence formula can be used to define such sequences, expressing a term as a function of preceding terms.23