Problem 1.1: Find an explicit formula for the following sequence: 1, 3, 5, 7, 9,.... [Solution]

Problem 1.2: Find three explicit formulas for the following sequence: -1, 1, -1, 1, -1, 1,… (Hint: Use trigonometric functions, too). [Solution]

Problem 1.3: What is the 11th term of the sequence a_n = 2n - 6? [Solution]

Problem 1.4: Calculate

(4i - 5). [Solution]

Problem 1.5: Calculate

5(k + 2). [Solution]

Problem 1.6: Let a_n = 4n². What is the sum of the first five terms of a? [Solution]