Answer:
The sum of the terms of a finite or an infinite sequence is called a series.
A series is an ordered sum of terms, which can be finite or infinite. The terms of a series can be numbers, functions, or any other mathematical expressions. A series can be represented in summation notation, which uses the Greek letter sigma (Σ) as a symbol for summation. The general form of a series is:
Σa(n) = a(1) + a(2) + a(3) + ... + a(n)
where a(n) is the nth term of the series and n is the index or the position of the term in the series. The series can be finite, with a fixed number of terms, or infinite, with an infinite number of terms. The sum of the terms of a series is called the value of the series.
In contrast, a sequence is a set of numbers or other mathematical objects that are ordered in a specific way and can be represented as a list of terms. The terms of a sequence are usually generated using a specific rule or formula. A sequence can be finite, with a fixed number of terms, or infinite, with an infinite number of terms. The terms of a sequence are often referred to by their position in the sequence, which is indicated by an index.
So, the correct answer is e. a series.