linear sequence - traducción al ruso
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linear sequence - traducción al ruso

SEQUENCE OF NUMBERS WITH CONSTANT DIFFERENCES BETWEEN CONSECUTIVE NUMBERS
Arithmetic series; Arithmetic Progression; Arithmetic sequence; Arithmetic progressions; Arithmetical progression; Land-1; Arithmatic series; Arithmatic progression; Arithmetic Series; Arithmetic sum; Infinite arithmetic series; Infinite arithmetic sequence; Progression (arithmetic series); Common difference; Linear sequence
  • Animated proof for the formula giving the sum of the first integers 1+2+...+n.

linear sequence         

математика

линейная последовательность

arithmetical progression         

общая лексика

арифметическая прогрессия

arithmetic sequence         

общая лексика

арифметическая последовательность

арифметическая прогрессия

Definición

arithmetic progression
(also arithmetic series)
¦ noun a sequence of numbers in which each differs from the preceding one by a constant quantity (e.g. 1, 2, 3, 4, etc.; 9, 7, 5, 3, etc.).

Wikipedia

Arithmetic progression

An arithmetic progression or arithmetic sequence (AP) is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence. The constant difference is called common difference of that arithmetic progression. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2.

If the initial term of an arithmetic progression is a 1 {\displaystyle a_{1}} and the common difference of successive members is d {\displaystyle d} , then the n {\displaystyle n} -th term of the sequence ( a n {\displaystyle a_{n}} ) is given by:

a n = a 1 + ( n 1 ) d {\displaystyle a_{n}=a_{1}+(n-1)d}

A finite portion of an arithmetic progression is called a finite arithmetic progression and sometimes just called an arithmetic progression. The sum of a finite arithmetic progression is called an arithmetic series.

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