1. For this problem, you will explain the relationships between and the differences of a sequence, a finite series, an infinite series, and a sequence of partial sums. (10 points) a. Find a formula for the nth term of the sequence: 4 6 8 10 2, - 3'9' 27 81 b. Use the example from a to create a finite series. What is the sum of this series? c. Use your example from a to write an infinite series. Does the series converge or diverge? Explain. d. What is a sequence of partial sums? Explain using your answers to parts a, b, and c