Yorkdale Adult Learning Centre MCR 3UV - Mathematics , Grade 11 Functions Quad 3 (Feb 2023 - Apr 2023) Name: Date: Apr 13, 2023 Test 5 (Chapter 6 ) K/U /10 A 19 T 17 C 14 Instructions: Answer all the questions. Show your work. Two communication marks for proper Math form throughout the assignment. 1. (K/U 1 +1 + 1 +1 Marks) a) Determine the 15" term in the sequence 80, 71. 62, 53. .... b) Find the common ratio for the geometric sequence 3, 2, 3. g.... c) Find the sum of an arithmetic series where a = -5, d- -, and n = 10 d) Gabe borrows $8000 from a financial institution that charges 5% annual interest, compounded yearly, for 5 years. Find the amount of interest that he will need to pay at the end of the term. 2. (K/U 2 + 2 +2 Marks) How many terms are in the sequence 0.2, 0.6, 1.0, 1.4, ..., 5.8? Page 1 of 4 b) Determine the number of terms in the sequence. 21, 17, 13, 9, ....., -35. c) Find the 20" term of the sequence: -3, 6, -12, 24, -48, ...5. ( T3 Marks) Determine all possible values of x such that x - 2 . x + 5, 4x -8 are consecutive terms in a geometric sequence. And write the resulting sequences clearly. Page 3 of 4 6. (T 4 + C2 Marks) The second term of a geometric series is 15 and the sum of the first three terms is 93. Find the series. There maybe more than one solution. (Note: Solve the problem using algebra. You get no marks for guessing the numbers.)3. (A 4+ 1 Marks) In an arithmetic series, the 14" term is 19 and the sum of the first 15 terms is 105. a) Determine the values of a and d. b) What is the sum of the first 25 terms? 4. (A 1+ 1+2 Marks) a) What is the general term of the sequence: 4, -6, 9, - 7 . ..? Page 2 of 4 b) The ninth term in the sequence $.1. . . 2 . 4 . .. is (Note: Write the exact value as a fraction) c) The fifth term of a geometric series is 405 and the sixth term is 1215. Find the sum of the first nine terms