I would like to plot series of points on a graph starting at a given point and continuing to the point of greatest magnitude. This could be accomplished by either creating a Table[] of points and then plotting the points, or embedding ParametricPlot[] in the Show[] function. However using either Table[]or ParametricPlot [] functions would require iterating a user defined gradient function and then using the output of the previous iteration as the input to the subsequent iterations and I am not sure how to do that in Mathematica and would appreciate guidance in performing the iterations (see attached notebook).

Additional if my whole approach is incorrect, I would be open to any and all suggestions because I am always interested it trying a better method to visualize my calculations.

Thank you so much for your assistance.

Attachments:

ParametricPlotQuestion.nb