The indicated sum of a sequence is called a series.
According to mathematical terminology, a sequence is an ordered list of numbers, while a series is the sum of the terms in that sequence. The reference confirms this definition: the sum of the terms of a sequence is called a series.
For example:
- Sequence: 1, 2, 3, 4, 5
- Series: 1 + 2 + 3 + 4 + 5 = 15
Understanding the difference is key in many areas of mathematics, including calculus and discrete mathematics.
