Find the Domain an=14+(n-1)(-3)

Problem

(a_n)=14+(n−1)*(−3)

Solution

1. Identify the type of expression. The expression (a_n)=14+(n−1)*(−3) represents an arithmetic sequence, where (a_n) is the nth term.

2. Determine the standard definition of the variable n in the context of sequences. In mathematics, the index n of a sequence represents the position of a term.

3. Define the set of possible values for n For a standard sequence, the domain consists of the set of natural numbers (positive integers).

4. State the domain. The domain is n∈{1,2,3,…}

Final Answer

Domain:n∈{1,2,3,…}

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