Arithmetic progression

An arithmetic progression is a sequence of numbers where each term is obtained by adding a constant value (d) to the preceding term. The first term is denoted as 'a' and the subsequent terms are represented as a + d, a + 2d, a + 3d, and so on. The n'th term of the arithmetic progression is given by a + (n-1)d. The sum of the first n terms of the arithmetic progression is given by the formula Sn = n/2[2a + (n-1)d].From: Pocket Book of Integrals and Mathematical Formulas [2019], Higher Engineering Mathematics [2019]

A

View Chapter

Purchase Book

Published in Carl W. Hall, Laws and Models, 2018

Carl W. Hall

ARITHMETIC PROGRESSION, LAW OF; ARITHMETIC SEQUENCE, LAW OF A series of numbers, each term of which, not including the first term, is derived from the preceding term by the addition of a constant number, represented by: (a), (a + b), (a + 2b), (a + 3b),... The sum of an arithmetical progression is: S = 1/2(a + L) n where S a L n = = = = sum of the terms first term last term number of terms

Low complexity maximum likelihood decoding for orthogonal space-time block codes using non-square and rotated quadrature amplitude modulation

View Article

Journal Information

Published in International Journal of Electronics, 2021

M. Surendar

The sequence in is an arithmetic progression with a common difference 2. The first half of is given by,

Arithmetic progression

Explore chapters and articles related to this topic

A

Low complexity maximum likelihood decoding for orthogonal space-time block codes using non-square and rotated quadrature amplitude modulation