Find the Domain a(n)=-2.5(-4)^(n-1)

Problem

a(n)=−2.5*(−4)(n−1)

Solution

1. Identify the type of expression provided. The expression a(n)=−2.5*(−4)(n−1) is the explicit formula for a geometric sequence.

2. Determine the standard convention for sequences. In mathematics, sequences are functions where the input n represents the position of a term in the list.

3. Define the set of inputs. For a sequence, the index n typically starts at 1 and increases by increments of 1

4. State the domain. The domain consists of the set of natural numbers (positive integers).

Final Answer

Domain={1,2,3,…}

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