1. Find the next four terms in the arithmetic sequence -10, -6, -2, ... . A. 2, 6, 10, 14 B. 6, 10, 14, 18 C. 0, 4, 8, 12 D. 1, 5, 9, 13 Hint 2. Write a sequence that has two geometric means between 7 and 448. A. 7, 29, 113, 448 B. 7, 26, 110, 448 C. 7, 30, 144, 448 D. 7, 28, 112, 448 Hint 3. Write a sequence that has one geometric mean between and 21. A. B. C. D. Hint 4. Which series is a convergent geometric series? A. B. C. D. Hint 5. Which series is divergent? A. B. C. D. Hint 6. A. B. 4 C. D. Hint 7. Express the series 14 + 23 + 34 + 47 + ··· + 167 using sigma notation. A. B. C. D. Hint 8. Write in exponential form. A. B. C. D. Hint 9. Find the first two iterates of the function f(z) = z2 + 1, where the initial value is z0 = 1 + i. A. 1 + 2i, 2 + 4i B. 1 + 2i, 2 - 4i C. 1 + 2i, -2 + 4i D. 1 - 2i, -2 + 4i Hint 10. For the equation 6 + 8 + 10 + ··· + (4 + 2n) = n(n + 5), which statement assumes that Sn is valid for n = k? A. 6 + 8 + 10 + ··· + (6 + 2k) = k(k + 5) B. 6 + 8 + 10 + ··· + (4 + 2k) = k(k + 5) C. 6 + 8 + 10 + ··· + (8 + 2k) = (k + 1)(k + 6) D. 6 + 8 + 10 + ··· + (6 + 2k) = (k + 1)(k + 6) Hint 11. Find the next four terms in the arithmetic sequence 16, 4, -8, … A. -2, -4, -8, -16 B. 16, -32, 64, -128 C. -20, -32, -44, -56 D. -12, -16, -20, -24 Hint 12. Find A. The limit does not exist. B. C. D. Hint 13. Find the sum of the series -20 + 10 - 5 + … A. -15 B. The sum does not exist. C. D. -40 Hint 14. Use Pascal's Triangle or the Binomial Theorem to expand (3x - 2y)5. A. B. C. D. Hint 15. Rachel shoots seven free throws. Each free throw either goes in or does not. Find the number of possible combinations of free throws such that at least four go in. A. 163 B. 35 C. 64 D. 21 Hint 16. Write in exponential form. A. B. C. D. Hint 17. The population of deer in a certain area can be modeled by the Verhulst population model with growth factor 1.5. Presently, there are 68 deer in the area, and a maximum of 80 could possibly be sustained. Find the population of deer after 3 years. (pn + 1 = pn + 1.5pn (1 - pn) ) A. 72 B. 81 C. 83 D. 79 Hint 18. Which statement would be most logically proven using mathematical induction. A. The series converges. B. When two parallel lines are cut by a transversal, opposite interior angles are congruent. C. for all integers n D. Every polynomial has at least one complex root. Hint