Math 153 Concept Check 04 Problem 1) Every time a certain ball is dropped from a height of h feet, it rebounds to a height of - h. Suppose that this ball is dropped from an initial height of 4 feet. Assuming the ball continues to bounce indefinitely, find the total distance the ball travels. (Hint/warning: As the ball travels, it moves both upward and downward. Distance travelled in both directions counts toward the total.)Problem 2) Consider the series 1 Zk2+5k+6 k=1 1 k2+5k+6 a} Find a partial fraction decomposition of b) Find a formula for the Nth partial sum. Use your answer to part (a) and simplify as much as possible. 1:) Calculate the value of the series by taking the limit of the Nth partial sum