Pre-calculus chapter 8 review (IB) (Calculators are allowed)

Name: I.D.: Period:

  1. Write an expression for the apparent nth term of the sequence (Assume n begins with 1)

2. Write first five terms

3. Simplify the ratio of factorials

  1. Find a formula for for the arithmetic sequence.

5. Find the sum of the first 20 terms of the sequence.( show formula)

  1. Seating Capacity Determine the seating capacity of an auditorium with 36 rows of seats if there are 15 seats in the first row,18 seats in the second row,21 seats in the third row,and so on.(9.2 84)

Solution:

  1. A woman made $40,000 during the 1990 year of her new job at city hall. Each year she received a 10% raise. Find her earnings 1995 on the job

8. Find the sum of the infinite geometric sequence.

2, 0.6, 0.18, 0.54,……

9. Find the sum of 45th term of the geometric sequence.

  1. Use mathematical induction to prove the formula for every positive integer n.

11. Find a quadratic model for the sequence with the indicated terms

12. Expand

13. Find the coefficient aof the given term in the expansion of the binomial.

14.Expand the binomial in the difference quotient and simplify.

15. License Plate NumbersIn a certain state the auto- mobile license plates consist of two letters followed by a four-digit number. To avoid confusion between “O”and “zero”and “I”and “one,”the letters “O”and “I”are not used. How many distinct license plate numbers can be formed?

16. Defective UnitsA shipment of 25 television sets contains three defective units. In how many ways can a vending company purchase four of these units and receive (a) all good units,(b) two good units,and (c) at least two good units?

17.. 5 boys stand in one line: Mike, John, Daniel, Armin, Miguel. John and Daniel have to next to each other. How many different way they have?

18. Preparing for a Test A class is given a list of eight study problems from which five will be part of an upcoming exam. If a given student knows how to solve six of the problems,find the probability that the student will be able to answer (a) all five questions on the exam,(b) exactly four questions on the exam, and (c) at least four questions on the exam.

19. One card is selected from a standard deck of 52 playing cards. What is the probability that the card is either a club or an ace?

20.A sales representative makes a sale at approximately one-third of all calls. If,on a given day,the representative contacts five potential clients,what is the probability that a sale will be made with at least one contact?