Number Patterns

What is the key difference between a sequence and a set in mathematics?

• A sequence has a specific number of elements, while a set does not.

• The order of elements matters in a sequence, but not in a set.

• A set can contain duplicate elements, while a sequence cannot.

• A sequence is always infinite, while a set is always finite.

Which notation represents an infinite sequence?

• {1, 2, 3}

• {1, 2, 3, ..., 100}

• {1, 2, 3, ...}

• [1, 2, 3]

What rule is used to generate the sequence {1, 3, 5, 7, ...}?

• Add 1

• Add 2

• Multiply by 2

• Subtract 1

What type of sequence is formed when a constant amount is added or subtracted to each element?

• Arithmetic

• Geometric

• Repeating

• Non-repeating

How can you determine if an increasing sequence is based on an addition rule or a multiplication rule?

• Check if it has a common difference or a common ratio.

• Check if the numbers are odd or even.

• Check if the sequence is finite or infinite.

• Check if the sequence is repeating or non-repeating.