Compare the following list of circles which are generated by different ways of defining the sequence of dilation factor. [br][br]Based on a given ratio r, dilation factors in the 2 cases are:[br][br]r, r[math]^{2}[/math], r[math]^{3}[/math], r[math]^{4}[/math], r[math]^{5}[/math], …[br][br]and [br][br]r, 2r, 3r, 4r, 5r, ...[br][br]You can click the lower left animation button or drag the slider to change the value of r.

The command is[br][br]Sequence[Dilate[c, r^n, O], n, 1, 10][br][br]where c is the name of the circle.

In this case, the command is[br][br]Sequence[Dilate[c, r*n, O], n, 1, 10]

Can you vary the dilation factors in some other ways making use of different algebraic expressions?