No, a sequence does not need to consist of an infinite number of terms. Sequences can be finite or infinite:

1. Finite Sequence: A sequence with a limited number of terms. For example, the sequence $1, 2, 3, 4, 5$ is finite because it has only five terms.

2. Infinite Sequence: A sequence with an unlimited number of terms. For example, the sequence $1, 2, 3, 4, 5, \dots$ continues indefinitely and is therefore infinite.

Both types are important in mathematics and are used in various contexts.

Would you like more details or have any further questions?

Here are 5 related questions to explore:

1. What are the main differences between finite and infinite sequences?
2. Can an infinite sequence be bounded?
3. How is a series related to a sequence?
4. What are some examples of infinite sequences in calculus?
5. How do we denote an infinite sequence mathematically?

Tip: When studying sequences, it's important to distinguish between finite and infinite sequences, as they have different properties and uses in mathematics.