1. Find the next four terms of the arithmetic sequence 16, 24, 32, . . . . A. 35, 40, 45, 50 B. 36, 40, 44, 48 C. 40, 48, 56, 64 D. 38, 44, 50, 56 Hint 2. Write an equation for the nth term of the arithmetic sequence 18, 30, 42, 54, 66, . . . . A. an = 18n + 12 B. an = 12n + 6 C. an = n + 18 D. an = 30n + 6 Hint 3. A. 10 + 20 + 30 + 40 + 50; 150 B. 10 + 1 + 2 + 3 + 4 + 5; 25 C. 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10; 55 D. 11 + 12 + 13 + 14 + 15; 65 Hint 4. A. 430 B. 860 C. 838.5 D. 820 Hint 5. Find the sum of the first five terms of the geometric series for which a1 = 2 and r = 2. A. 62 B. 30 C. 126 D. 14 Hint 6. Find the sum of the geometric series –5, -10, -20, -40, . . . for 7 terms. A. -599 B. -527 C. -635 D. -689 Hint 7. Determine the first five iterates of the function f(x) = 2x + 10 if the initial value is -12. A. 12, 14, -18, 26, -42 B. –14, -18, -26, -42, -74 C. 12, -14, -18, -26, -42 D. –12, -14, -18, -26, -42 Hint 8. Expand (a + 2b)4. A. a4 + 8a3b + 24a2b2 + 32ab3 + 16b4 B. a4 + 8a3b + 24a2b2 + 8ab3 + b4 C. a4 + 8a3b + 24a2b2 + 4ab3 + b4 D. a4 + 4a3b + 12a2b2 + 8ab3 + b4 Hint 9. Write an equation for the nth term of the geometric sequence 5, 15, 45, 135, …. A. B. C. D. Hint 10. Find the eighth term of a geometric sequence for which a3 = 98 and r = 7. A. 5,764,801 B. 11,529,602 C. 1,647,086 D. 823,543 Hint 11. Write the infinite geometric series in sigma notation if a1 = 3 and the sum is 6. A. B. C. D. Hint 12. Write as a fraction. A. B. C. D. Hint 13. Cody and Earl started their first week with a garden of 20 tomatoes. Each week, they grew three times as many tomatoes as they had at their home. If they eat 10 tomatoes per week, how many tomatoes will be grown in the fifth week? A. 1620 B. 1570 C. 150 D. 420 Hint 14. Expand (4x + 2y)4. A. B. C. D. Hint 15. Which of the following supports the claim that –4 + x = 9? A. x = 5 B. x is positive C. x = –5 D. x is negative Hint 16. Which statement is a valid counterexample to the statement 6n + 6n is divisible by 12? A. 2 B. 3 C. 4 D. 1 Hint