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Find the Domain an=4n

Problem

(a_n)=4*n

Solution

  1. Identify the type of expression provided. The expression (a_n)=4*n represents a sequence where (a_n) is the nth term.

  2. Determine the standard convention for sequences. In mathematics, the domain of a sequence is typically the set of natural numbers or positive integers.

  3. Define the set of inputs. Unless otherwise specified, the index n starts at 1 and increases by integer increments.

  4. State the domain in set notation. The domain is the set {1,2,3,…} which is denoted by

Final Answer

Domain={[n∈ℤ,n≥1]}


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