Imagine you're developing a video game where players gather coins in each level. Players begin the game with 0 coins and in each level 1 = 1,2,3,..., they will collect 10 x 1 coins. However, each time a player's character gets hit by an enemy, they lose 3 coins. The first level is introductory and has no enemies, but starting from 1 = 2, the complexity of the levels grows such that a player with a skill level s, where s = 1,2,3,4,..., will get hit 1 x s times in the Ith level. (a) Which value of s corresponds to the most highly skilled player? (b) Let c be the total number of coins the player has accumulated immediately after completing level 1. Assuming the player has skill level s = = 2, find the values c, and c, and then find a recursive definition for q. (c) Still assuming the player has skill levels = 2, write a MATLAB program to compute c for 1 = 1,... 10 and display the values in two columns, one for I and one for q.