does A sequence must consist of infinite number of terms.

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.

Explore the concept of sequences in mathematics, including finite and infinite sequences. Learn about their definitions, examples, and differences. Suitable for students in Grades 10-12.

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