Which statement correctly defines a sequence?

Which statement correctly defines a sequence?

• A. A random set of numbers
• B. A set with no order
• C. An ordered list of numbers
• D. A single value

Answer: (C)

Sequences are ordered lists of numbers where the position of each number matters. That’s what the statement “an ordered list of numbers” captures: you can identify the first term, the second term, and so on, and changing the order changes the sequence. For example, 2, 5, 8, 11 is a sequence because the terms appear in a specific order, and the first term is 2, the second is 5, etc. If you scrambled the order to 5, 2, 8, 11, you’d have a different sequence. A set with no order wouldn’t tell you which term sits in which position, and a single value isn't a list of terms at all. Sequences can be finite or infinite, but the defining idea is the ordered progression of terms.

Sequences are ordered lists of numbers where the position of each number matters. That’s what the statement “an ordered list of numbers” captures: you can identify the first term, the second term, and so on, and changing the order changes the sequence. For example, 2, 5, 8, 11 is a sequence because the terms appear in a specific order, and the first term is 2, the second is 5, etc. If you scrambled the order to 5, 2, 8, 11, you’d have a different sequence. A set with no order wouldn’t tell you which term sits in which position, and a single value isn't a list of terms at all. Sequences can be finite or infinite, but the defining idea is the ordered progression of terms.