A sequence of ordered numbers (or functions) that may contain finite or infinite number of terms is referred to as a series where each term a is indexed as, for example, \(a_i\) to indicate its position. The indices i of the first element may start at any arbitrary integer value and increase by one until the last term in the series is indexed. Sum of all the elements may be finite (convergent) or infinite (divergent). The infinite sequence of additions is resolved by limit after resolving the sum of the first n elements. There is no significance in the choice of letters used to index multiple counters in the given problem: i, n, k, j, l, m... are all commonly used.

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Series

  • Robert Sobot

摘要

A sequence of ordered numbers (or functions) that may contain finite or infinite number of terms is referred to as a series where each term a is indexed as, for example, \(a_i\) to indicate its position. The indices i of the first element may start at any arbitrary integer value and increase by one until the last term in the series is indexed. Sum of all the elements may be finite (convergent) or infinite (divergent). The infinite sequence of additions is resolved by limit after resolving the sum of the first n elements. There is no significance in the choice of letters used to index multiple counters in the given problem: i, n, k, j, l, m... are all commonly used.