Question

Given the arithmetic sequence an = 5 + 2(n − 1), what is the domain for n?

All integers
All integers where n ≥ 0
All integers where n > 1
All integers where n ≥ 1

Please someone help me. Thank you.

Answer 1

sequences start with n=1, so integers >=1 are the domain (your inputs=n)

Answer 2

The domain for n is:

All integers where n ≥ 1

Explanation:

We know that the domain is the collection of all the possible input values i.e. for which the function or sequence is well defined.

The arithmetic sequence is given by:

`a_n=5+2(n-1)`

We know that the terms of the sequence is given by:

`a_1,a_2,a_3,..........`

i.e. first term, second term and third term and so on.

Hence, n=1 i.e. it starts with the first term of the sequence.

Hence, the answer is:

All integers where n ≥ 1