Sequence and series are the basic topics in Arithmetic. An itemized collection of elements in which repetitions of any sort are allowed is known as a ...

... sequence. In a sequence, the order of elements is significant, and each element is called a term. When the terms of a sequence follow a specific pattern, it is often referred to as a progression.

A series, on the other hand, is the sum of the terms of a sequence. If the sequence is finite, the series is also finite. If the sequence is infinite, the series can be either convergent or divergent, depending on whether the sum approaches a finite limit or not.

To summarize:

1. Sequence: An ordered list of elements where repetition is allowed.
2. Series: The sum of the elements of a sequence.

For example, consider the sequence 2, 4, 6, 8, 10. The corresponding series would be 2 + 4 + 6 + 8 + 10.