PreCalculus - EXAM REVIEW PART II Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. The table shows the predicted growth of a particular bacteria after various numbers of hours. Write an explicit formula for the sequence of the number of bacteria. Hours (n) Number of Bacteria 1 2 3 4 5 19 38 57 76 95 a. ____ b. c. d. 2. Find the 50th term of the sequence 5, –2, –9, –16, ... a. –352 b. –343 c. –338 d. –331 Is the sequence geometric? If so, identify the common ratio. ____ 3. , a. , , , yes, ,... b. yes, c. yes, d. not geometric Write the explicit formula for the sequence. Then find the fifth term in the sequence. ____ 4. a. b. ; 243 ; –243 c. d. ; 243 ; –729 ____ 5. A large asteroid crashed into a moon of a planet, causing several boulders from the moon to be propelled into space toward the planet. Astronomers were able to measure the speed of one of the projectiles. The distance (in feet) that the projectile traveled each second, starting with the first second, was given by the arithmetic sequence 26, 44, 62, 80, . . . . Find the total distance that the projectile traveled in seven seconds. a. 534 feet b. 560 feet c. 212 feet d. 426 feet ____ 6. For the series a. 7 terms ____ 7. For the series a. 5, 8 ____ 8. Evaluate the series a. 125 ____ , find the number of terms in the series. b. 16 terms c. 8 terms d. 9 terms , find the first and the last term. b. –3, 1 c. 5, 9 d. 4, 20 c. 210 d. 165 . c. 1937.5 d. 12,500 . b. 38 9. Evaluate the series 1000 + 500 + 250 + ... to a. 968.75 b. 1062.5 Evaluate the infinite geometric series. Round to the nearest hundredth if necessary. ____ 10. 1 + 0.1 + 0.01 + ... a. 0.33 b. 1.11 c. 1.2 ____ 11. In how many different orders can you line up 8 cards on a shelf? a. 8 b. 1 c. 1,680 d. 2 d. 40,320 ____ 12. Verne has 6 math books to line up on a shelf. Jenny has 4 English books to line up on a shelf. In how many more orders can Verne line up his books than Jenny? a. 24 b. 720 c. 14 d. 696 Evaluate the expression. ____ 13. a. 604,800 b. 720 c. 120 d. a. 9 b. 362,880 c. 126 d. 3,024 a. 9 b. 1 c. 5,040 d. 7 ____ 14. ____ 15. ____ 16. There are 10 students participating in a spelling bee. In how many ways can the students who go first and second in the bee be chosen? a. 1 way c. 3,628,800 ways b. 90 ways d. 45 ways ____ 17. The Booster Club sells meals at basketball games. Each meal comes with a choice of hamburgers, pizza, hot dogs, cheeseburgers, or tacos, and a choice of root beer, lemonade, milk, coffee, tea, or cola. How many possible meal combinations are there? a. 10 b. 11 c. 28 d. 30 ____ 18. Use the Binomial Theorem to expand a. b. c. d. . PreCalculus - EXAM REVIEW PART II Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. D C A A B C C D C B D D A D D B D D