Explain why there are restrictions on the domain of a sequence when the sequence is defined as a function.

Write your answer in 3-4 sentences using the following vocabulary words:

- set or subset

- sequence

- function

- term (s)

The domain of any function is the set of x-values.

For a sequence written as a function, the domain is the set of term numbers. In a sequence, term numbers describe the position of each term in a sequence. We start a sequence with the first term (1), the second term (2), etc.

When we are counting positions, we do not count half positions or quarter positions; only whole positions are counted. It would make no sense to say "the first and a half term"; we go from first to second.

This means the domain of the sequence written as a function is restricted to the set of whole numbers.