Question

Identify the following sequence as geometric, arithmetic, or neither 25, 50, 75, 100

Answer 1

Arithmetic sequence.

Step-by-step explanation:

From the question, we are to determine whether 25, 50, 75, 100 is an arithmetic or geometric sequence:

An arithmetic sequence is identified by a common difference. First, let us check whether the sequence is arithmetic.

Determine the common difference:

`\begin{gathered} d=100-75=75-50=50-25 \\ d=25 \end{gathered}`

Since the sequence has a common difference, therefore the sequence is an arithmetic sequence.