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.