Let's start by reviewing the main characteristics of each type of sequence. An arithmetic sequence is characterized for having a common difference between pairs of consecutive terms. This means that the next term can be found by adding the common difference to the current term.
Since the same happens with the y-values corresponding to equally spaced x-values in a linear function, the graph of an arithmetic sequence forms a linear pattern.
On the other hand, a geometric sequence is characterized for having a common ratio between pairs of consecutive terms. This means that the next term can be found by multiplying by the common ratio to the current term.
Since the same happens with the y-values corresponding to equally spaced x-values in an exponential function, if the common ratio is positive, the graph of the geometric sequence forms an exponential pattern.
If the common ratio is negative, then the graph of a geometric sequence forms a pattern of points alternating between two different quadrants instead.
