MULTIPLE CHOICE: Read each statement carefully, then answer the question that follow. Choose only the letter of the correct answer. In case you can't find the answer in the given choices write the correct answer on your answer sheet. 1. What is the next term in an arithmetic sequence 4,12, 20 ? A. 24 B. 28 C. 32 D. 36 _2. A sequence in which each term after the first is obtained by adding the preceding term by a constant is called a/an A. Arithmetic B. Geometric C. Harmonic D. Fibonacci 3. Here is a sequence of letters: a, a, b, c, d, a, ,a, b, c, d, a, a, b, c, d, a,... what letter will come next in the sequence? A. d B. c C. b D. a _4. Find the common difference in the arithmetic sequence A. B. C. D. 4 _5. Find p so that the numbers 7p + 2, 5p + 12, 2p -1, . . . form an arithmetic sequence. A.-8 B.-5 C.-l3 D.-23 _6. Which term of the arithmetic sequence 4, l, - 2, - 5, is - 29 ? A. 9th term B. 10th term C. 11th term D. 12th term _7. The first term of an arithmetic sequence is 2 while the 18th term is 87. Find the common difference of the sequence. A. 7 B. 6 C. 5 D. 3 41. What is the next term in the geometric sequence 4, -12, 36? A. -42 B. -54 C. -72 D. -108 42. Find k so that the numbers 2k + 1, 3k + 4, 7k + 6 form a geometric sequence. A. 2; -1 B. - 2, 1 C. 2; 1 D. - 2, - 1 43. Find the terms a2, a3, a4 and as of a geometric sequence if a1 = 10 and the common ratio r= - 1. A. {10, -10, 10, -10} C. { -10, 10, -10, 10} B. { 110, - 110,110, - 110 } D. { -110,110,- 110,110} 44. Is the sequence geometric? If so, find the common ratio 50, 25, 252, 254,.. A. r = 2 B. r = 3 C. r = 5 D. r = 1/2 45. List the first four terms of the geometric sequence with a1 = 5 and r = -2. A. {5,-10, 20,-40} B. {-5,-10,-20,-40} C. { 5, 10,20,40} D. {-5, 10,-20,40} 46. Find the sum of the first 5 terms of a geometric series with = 7 and 0= 2 A. 812 B. 4714 C. 217 D. 204 47. Find the sum of the seven terms of geometric sequence 3, 6, 12, 24. .. . A. 381 B. 380 C. 379 D. 378 48. Find the least number of terms of the geometric sequence given the first term is 1 and the fourth term is 125, where the sum of the terms is 781. A. 4 B. 5 C. 6 D. 7 49. What is the sum of the infinite geometric series - 9 27 81 + . ? 4 16 64 256 A. B. C. 3 D. 1A. B. D. T 50. Find the sum to infinity of 1, 0.2, 0.04, 0.008, . . . A. 0.2 B. 1.666. C. 1.25 D. 1.5 51. Find the sum of the infinite geometric sequence 27, 18, 12,8, . ... A. 81 B. 82 C. 83 D. 84 52. Find the sum of the first six terms of the geometric sequence with the first term 40 and a common ratio of 1/2 . A. B. C. D. 315 53. Determine the sum of the geometric series 6 + 2 + + A . 7 B. 8 C. 9 D. can't be determined 54. What is the sum to infinity of 3 - 1 + - +....? A. B. C. D. 55. What is the sum of the first 11 terms of 2 - 2 + 2 - 2 +. . . ? A. 1 B. 0 C. 2 D. - 2