Find the Domain an=ar(n-1)

Problem

(a_n)=a*r(n−1)

Solution

1. Identify the type of expression. The expression (a_n)=a*r(n−1) represents the general term of a geometric sequence.

2. Determine the variable of interest. In the context of sequences, the domain refers to the set of possible values for the index n

3. Apply standard sequence definitions. By convention, sequences are functions whose domain is the set of natural numbers, as they represent ordered lists of terms.

4. State the domain. The index n typically starts at 1 and increases by integer increments (n=1,2,3,….

Final Answer

Domain:{[n∈ℤ,n≥1]}

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