The sequence 1/6, -2/7, 3/8, -4/9 is given.Part A: Assuming the pattern continues, list the next four terms in the sequence. Show all necessary math work. (4 points)Part B: Write the explicit equation for f (n) to represent the sequence. Show all necessary math work. (4 points)Part C: Is the sign of f (53) positive or negative? Justify your reasoning mathematically without determining the value of f (53). (2 points)