Question

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

Answer 1

We have been given that a geometric sequence's 1st term is equal to 1 and the common ratio is 6. We are asked to find the domain for n.

We know that a geometric sequence is in form
`a_n=a_1(r)^(n-1)`, where,

`a_n` = nth term of sequence,

`a_1` = 1st term of sequence,

r = Common ratio,

n = Number of terms in a sequence.

Upon substituting our given values in geometric sequence formula, we will get:

`a_n=1\cdot (7)^(n-1)`

Our sequence is defined for all integers such that n is greater than or equal to 1.

Therefore, domain for n is all integers, where
`n\geq 1`.