Numerical 1 . Response Numerical 2- Response Sequences and Series Lesson #9: Practice Test An example ofa nite sequence is A. 3,8,13,l8,...5n2,... EN. B. 3,8,l3,l8,...5n2,.. 498, HEN. C.3+8+l3+18+... D.3+8+l3+18 Which of the following statements regarding the sequence 2, 4, 7, 1], 16, . . . is correct? A. The sequence is arithmetic. B. The sequence is geometric. C . The sequence is both arithmetic and geometric. D. The sequence is neither arithmetic nor geometric. If 32, 24, 18, . . . are the rst three terms of a geometric sequence, then the value of the fifteenth term of the sequence, to the nearest hundredth, is (Record your answer in the numerical response box from left to right) :IE On a particular street, the house numbers on one side of the street form an arithmetic sequence. If the first two houses are numbered 8991 and 8995, and the last house is numbered 10039 then the number of houses on this side of the street is (Record your answer in the numerical response box from left to right) :IE The common difference of the arithmetic sequence defined by 1,1 = (7 2n), n E N, is 7 7 A. g B. 3 2 2 C. E I). Copyright by Absolute Vaiue Publications. This book is NOT covered by the Cancopy agreement. 86 Sequences and Series Lesson #9: Practice Test 4. As part of a new training routine, Jesse does some burpees and push-ups. On the first day he does eight burpees and ten push-ups. Each day he increases the number of burpees by three and the number of push-ups by four. How many burpees and push-ups does he do on the nineteenth day? A. 57 and 76 B. 62 and 82 C. 65 and 86 D. 68 and 90 5. If the 15th and 16th terms of an arithmetic sequence are 99 and 92 respectively, the 5th term is A. 29 B. 36 C. 162 D. 169 6. A quantity of a liquid chemical contains 50 g of impurities. Each time this quantity of chemical passes through a filter, 10% of the impurities present are removed. After passing through the filter 5 times, the number of grams of impurities remaining in the liquid chemical is A. 0g B. 25 g C. 29.5 g D. 32.8 8 7. Consider the following geometric series. Series 1 : 3 + 6 + 12 + 24 + ... . Series 2 : 24 + 12 + 6 + 3 + .... Series 3 : 3 - 3 + 3 - 3.... Which of the these series is/are convergent? A. 1 only B. 2 only C. 1 and 2 only D. 2 and 3 only Copyright @ by Absolute Value Publications. This book is NOT covered by the Cancopy agreement.Sequences and Series Lesson #9: Practice Test 87 8. The sum of the terms of a sequence is represented by S" = 6n + n2, :1 2 1, n E N. The general term of the sequence is A. r,,=2n+5 B. tn=9n2 J'Il 9 C. In = 7(7) 9. The graph shown plots the sum of n terms of a geometric sequence 3 as a function of n E N. Each point on the graph is of the form (n, S\"), where S\" is the sum of :1 terms of the sequence. " --l The common ratio of the sequence is .II 1 --I A _ . --I ' 2 !i B. 3 :- 3 --I - =-: E:- D. 8 --- I I l n 10. A bush is 2 feet high when planted. It grows 2.5 feet during the rst year. Each 3 subsequent year the bush grows 1 of the previous year's growth. The maximum height of the bush is A. IO feet B. 12 feet C. 18 feet D. unable to be determined from the given information Copyright by Absolute Vaiue Pubiications. This book is NOT covered by the Cancopy agreement. Numerical Re s pon se 5. 13. 14. 15. Sequences and Series Lesson #9: Practice Test 89 The side lengths of a triangle form an arithmetic sequence. The shortest side has a length of 10.5 cm and the perimeter of the triangle is 45 cm. The length, in cm. of the longest side is (Record your answer in the numerical response box from left to right) [IE If the sum of an infinite series is 72 and the common ratio is , then the rst term is 8 A. 576 B. 63 C 9 D L ' ' 576 Each of the triangles in the diagram is equilateral. The largest triangle has sides of 30 mm. The midpoints of the sides of the largest triangle are joined together to form the second largest triangle. The midpoints of the sides of the second largest triangle are joined together to form the third largest triangle. If the process is continued indefinitely, the sum of the perimeters of all of the triangles in mm is A. 180 B. 179.8 C. 157.5 D. 60 A golf ball is dropped on to a concrete sidewalk from a height of 2 metres. Each time it bounces, it rebounds to of its prewous height. 0n the Sixth rebound, 1t Wlll rise 3 6 5 2 2 1 6 1 5 Copyright by Absolute Value Publications. This book is NOT covered by the Cancopy agreement