Math 20-1 Chapter 1 Test Multiple Choice 6/19 Identify the choice that best completes the statement or answers the question. 1. Determine the first 4 terms of an arithmetic sequence, given the first term, t, = -4, and the common difference, d = -2 A. 4, -6,-8, -10 C. -2, 2, 6, 10 B. -4, -2, 0, 2 D. -2, -6,-10, -14 2. Determine in1 of this arithmetic sequence: -20, -35, -50, -65, ... A. ty =-80 C. 61 =-15 B. t11 =-170 D. '11 =-20 3. Two terms of an arithmetic sequence are to = 25 and 1 = 41. What is 30? 41 - 1 A. t30 = 13 C. t30 = 117 40 ( 3) B. t30 = 121 D. t30 = 17 124 4. Determine the sum of the first 13 terms of this arithmetic series: -2- 1.5 -1 -0.5- A. S13 = 13 C. S13 = 2.5 B. S 13 =-52 D. S 13 = 26 5. An arithmetic series has S21 =-2793, d = -13, and t21 =-263; determine the first 3 terms of the series. A. -6-19-32 C. -2-15-28 B. -6.5-19.5-32.5 D. -3-16-29 6. The sum of the first 24 terms of an arithmetic series is 1284. The sum of the first 25 terms is 1375. The first term is 19. Determine d. A. d =3 C. d =6 B. d = 1.5 D. d = 19 X7. Which sequence could be geometric? A. 4, 12, 20, 28, ... C. 8, 39, 70, 101, ... B. -4, -16, -64, -256, ... D. 4, -3.1, 2.2, -1.3, ... 8. In a geometric sequence, to = -9375 and r = 5. Determine t. A. 1 16. -3 B. 4 D. 5 X 9. Jane deposited $1500 in a long-term savings account on her 23rd birthday. She did not make any more deposits or withdrawals. The account earned 7% per year. How much money did she have in the account when she turned 40? A. $4428.25 C. $3867.80 B. $5424.79 D. $27 285.00 10. Determine the sum of the first 9 terms of this geometric series: -3 +4.5-6.75 + ... Write the sum to the nearest hundredth if necessary. A. 47 -47.33 -76 D. -29 X 11. The sum of the first 13 terms of a geometric series is -1 793 614.5. The common ratio is -3. Determine the 1 st term. A. 121.5 C. 13.5 B. -40.5 D. 4.5 X 12. Determine the Ist and 6th terms of a geometric series that has these partial sums: S, = -240, S, =-726, So = -2184 A. t, =-18; to =-486 C. 1, =-18;16 -71458 B. t1 = -6;16 =-1458 D. 1 1 =-6;16 =-486 13. This infinite geometric series converges: 16 + 4 + 1 + - +... Determine its sum. A. So = 21.3 B. So = 64 C. S. = 4 XD. S.=53 214. Determine the common ratio of this infinite geometric series: -5+ 2- 4_ 8 25 Does the series have a finite sum? A. r =-0.4, so the sum is finite. . r=-3.57, so the sum is not finite. 4 B. r= -, so the sum is finite. D. r= -, so the sum is finite /15. Determine the common ratio of this infinite geometric series: 6 + 24 + 96 + 384 + .. Does the series converge or diverge? A. r =4, so the series diverges. c. r =6, so the series diverges, B. r =4, so the series converges. D. None of the above Problem 1. A car that costs $38 500 depreciates at a rate of 13.5% per year. A truck that costs $26 500 depreciates at a rate of 7.0% per year. Suppose both vehicles are purchased on the same day. Which vehicle will be worth more at the end of 10 years? Show your work.2. The seating chart for a concert hall shows that a section of seats has 10 rows. Tickets in the first section sell for $95 each. Tickets in each consecutive section are $6 cheaper than the tickets in the preceding section. The concert hall has 100 rows. Joe wants to buy 1 ticket from each section to give to charity. How much money will he have to spend? 3. A circle with radius 1.0 cm is inscribed inside an equilateral triangle, as shown. Smaller circles are then inscribed in the remaining space as shown. The radius of each smaller circle is