Series

A sequence of ordered numbers (or functions) that may contain finite or infinite number of terms is refereed to as a series where each term is indexed as, for example, \(a_i\) to indicate its position. The indice 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.