2. You push your younger cousin on a tire swing one time and then allow your cousin to swing freely. On the first swing, your cousin travels a distance of 14 feet. On each successive swing, your cousin travels 75% of the distance of the previous swing. 00 a. Find the distance your cousin travels in the first 5 swings (partial sum). b. Find the total distance your cousin travels if they were to continue to swing freely. Explain your reasoning c.Suppose the pendulum travels 10 inches on its first swing. What is the total distance the pendulum swings? Reflective question #2: You wish to swing an additonal 6 feet. Find two infinite geometric series whose sums are each 6. Justity your answers.