Instmctions: 1. Show all work and do all work by yourself. 2. A. Print this handout, nmtjy write the answers on it, and scan as a single dooument. B. Dr... Type the answers, following the numbering in the project, and save as a word or pdf document. C. Dr... NEATLY write out the answers, following the numbering in the project, and scan as a single domment. 3. Please indicate numeric and forrnula answers by underlining or drawing a box around them. 4. The project is worth 1d points as noted by the yalue next to each problem. imsy andior unreadable worlr. will result in reduced points. 5. Written answers will use proper English, complete sentences, and appropriate mathematical tenninology, incorporating formulas and equations as necessary. Purpose: The purpose of this project is to apply the concepts of sequences and senes to another topic of mathematics, fractals. Fractal: a fractal is a geometric shape that can be split in parts that are reduced scale pattems of the original. This pattem is repeated an innite number of tima. If you zoom in on any part of it you will see it looks the same. One such fractal is the Sierpinski Triangle. This fraotal is created by connech'ng the midpoint: of the three side; of an equilateral triangle. This create a new equilateral triangle which is then \"remoyed" from the original. The remaining three triangle are smaller versions of our original. This procas can then be repeated to continue to create other iterations of the gure. The first three stages are shown here: A Stage 1 Stage 2 Stage 3