1. Find the next four terms in the arithmetic sequence -10, -6, -2, ... . A. 6, 10, 14, 18 B. 2, 6, 10, 14 C. 0, 4, 8, 12 D. 1, 5, 9, 13 Hint 2. Find the sum of the first 25 terms in the series -15 - 8 - 1 - ··· . A. 1711 B. 1718 C. 1725 D. 1732 Hint 3. Which series is a convergent geometric series? A. B. C. D. Hint 4. Express the series 14 + 23 + 34 + 47 + ··· + 167 using sigma notation. A. B. C. D. Hint 5. Use Pascal's triangle or the Binomial Theorem to expand (-x + 3y)3. A. x3 - 3x2y + 3xy2 -y3 B. -x3 + 3x2y - 3xy2 + y3 C. x3 - 9x2y + 27xy2 -27y3 D. -x3 + 9x2y - 27xy2 + 27y3 Hint 6. Find the first two iterates of the function f(z) = z + 3, if the initial value is 1 + i. A. 4i, 7i B. 4 + i, 7 + i C. 7 + i, 10 + i D. 4 + i, 10 + i Hint 7. 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 8. 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 + ··· + (4 + 2k) = k(k + 5) B. 6 + 8 + 10 + ··· + (6 + 2k) = k(k + 5) C. 6 + 8 + 10 + ··· + (6 + 2k) = (k + 1)(k + 6) D. 6 + 8 + 10 + ··· + (8 + 2k) = (k + 1)(k + 6) Hint 9. If the k term of Sk is 4 + 2k, find the (k + 1) term. A. 2k B. k + 1 C. 8 + 2k D. 6 + 2k Hint 10. Find the sum of the first fourteen terms of the geometric series Round to the nearest hundredth. A. 2.81 B. 19.52 C. 19.64 D. 19.73 Hint 11. Write a sequence that has two geometric means between -6 and A. B. C. D. Hint 12. Find the sum of the series A. 18 B. C. The sum does not exist. D. 24 Hint 13. Write as a fraction. A. B. C. D. Hint 14. Which series is convergent? A. B. C. D. Hint 15. Write the series 9 + 12 + 15 + 18 + … + 57 in sigma notation. A. B. C. D. Hint 16. Find the third term of the expansion of (6s + 2t)4. A. 72s2t2 B. 144s2st2 C. 864s2t2 D. 6s2t2 Hint 17. Use the first three terms of the trigonometric series and a calculator to approximate the value of to four decimal places. A. 1.2491 B. 0.8453 C. 0.8663 D. 0.866 Hint 18. Find ln (-2.89) to four decimal places. A. - 0.6366 B. - 1.0613 C. + 1.0613 D. + 0.6366 Hint