The arithmetic sequences always graph as points along a line.
In a geometric sequence, each term is equal to the previous term, multiplied (or divided) by a constant.
The exponential functions have a very special property:
equal changes in the input cause the output to be successively multiplied by a constant.
Geometric sequences also have this same special property:geometric sequences always graph as points along the graph of an exponential function.
The sequence 6.25,12.5,25,50,100 is a geometric sequence so its graph will represent a geometric sequence.