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arithmetic sequence

1 of 1noun
/əˈrɪθmətɪk ˈsikwəns/
Forms:arithmetic sequences
1

a sequence of numbers in which the difference between any two consecutive terms is constant

  • In the arithmetic sequence 2, 5, 8, 11, 14, ..., each term increases by 3, which is the common difference.
  • Arithmetic sequences are commonly used in finance to model situations where there is a constant increase or decrease in value over time.
  • In an arithmetic sequence, the difference between consecutive terms is always the same, regardless of the position of the terms.
  • To determine if a sequence is arithmetic, we check if the difference between consecutive terms remains constant.
  • Arithmetic sequences are fundamental in mathematics and have applications in various fields.