Question

Given the geometric sequence where a1=1 and the common ratio is 6 what is the domain for n

Answer 1

Domain:
`n\ge1`

Explanation:

For a geometric sequence, the n-th term is given by:

`a_n=a_1r^(n-1)`

From the question,
`a_1=1` and
`r=6`.

Hence the explicit formula for the sequence is:

`a_n=6^(n-1)`, where
`n\ge1`

Therefore the domain is natural numbers or positive integers.