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Chapter Review Jeopardy

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					1
             Arithmetic   Geometric
Sequences                              Counting
             Sequences    Sequences                 Probability
and Series                             Principles
             and Series   and Series



  100          100          100          100          100

  200          200          200          200          200

  300          300          300          300          300

  400          400          400          400          400

  500          500          500          500          500
                                                                  2
         Sequences and Series
                100
• Determine if the following sequences are
  arithmetic, geometric, or neither.

 1. -9, -5, -1, 3, …

 2. 0, 5, 15, 30, 50, …

 3. -½, 1, -2, 4, …

                                             3
        Sequences and Series
               200
• Write the first four terms of the
  sequence
                 n2
            an 
                  2n


                                      4
        Sequences and Series
               300
• Write the first three terms of the
  sequence an  3an1  2
  where a1 = -2.




                                       5
       Sequences and Series
              400
                 10
• Find the sum
                  (2k  3)
                 k 5




                              6
         Sequences and Series
                500
• Write the following sum in sigma
  notation.
  [(1)2 – 5] + [(2)2 – 5] + [(3)2 – 5] +
  … + [(10)2 – 5]




                                           7
   Arithmetic Sequences and Series
                 100
• Find the 20th term of the arithmetic
  sequence.
  10, 5, 0, -5, -10, ….




                                         8
  Arithmetic Sequences and Series
                200
• Find the 19th term of the arithmetic
       sequence a1 = 5, a4 = 15




                                         9
   Arithmetic Sequences and Series
                 300
• Find the 1st term of the arithmetic
  sequence with a5 = 190 and
  a10 = 115.




                                        10
   Arithmetic Sequences and Series
                 400
• Find the 1001st term of the
  sequence with a1 = -4 and a5 = 16.




                                       11
   Arithmetic Sequences and Series
                 500
• Use the Gauss formula to find the
  sum of the first 30 terms of the
  sequence -30, -23, -16, -9, …




                                      12
  Geometric Sequences and Series
               100
• Find the 6th term of the geometric
  sequence with a1 = 64 and r = -1/4.




                                        13
  Geometric Sequences and Series
               200
• Find the 22nd term of the sequence
  4, 8, 16, …




                                       14
  Geometric Sequences and Series
               300
                                  1 r n 
  Sum of first n terms = Sn  a1 
                                  1 r  
                                    a1
  Sum of infinite # of terms = S =
                                   1 r


• Find the sum of the infinite
geometric sequence 6, 2, 2/3, ….

                                              15
 Geometric Sequences and Series
              400
                                 1 r n 
 Sum of first n terms = Sn  a1 
                                 1 r  
                                   a1
 Sum of infinite # of terms = S =
                                  1 r

• Find S10 for the sequence
7, 14, 28, …


                                             16
 Geometric Sequences and Series
              500
                                 1 r n 
 Sum of first n terms = Sn  a1 
                                 1 r  
                                   a1
 Sum of infinite # of terms = S =
                                  1 r

• Find S16 for the sequence
200, 50, 12.5, …


                                             17
           Counting Principles
                  100
• In how many ways can a 7 question True-
  False exam be answered?
• Do you use permutations, combinations, or a
  slot-method to solve the problem?




                                            18
            Counting Principles
                   200
• How many distinct license plates can be
  issued consisting of one letter followed by a
  three-digit number? (Suppose the numbers
  CAN repeat)
• Do you use permutations, combinations, or a
  slot-method to solve the problem?




                                              19
            Counting Principles
                   300
• The Statistics class needs 10 students to answer
  a survey. Mrs. Cox has 15 students in her 4th
  period Algebra 2 class. In how many different
  ways can she choose the 10 students?
• Do you use permutations, combinations, or a
  slot-method to solve the problem?




                                                20
            Counting Principles
                   400
• Compute the following without a calculator.
  1. 6!

  2. 7P2


  3. 5C2



                                                21
            Counting Principles
                   500
• An exacta in horse racing is when you correctly
  guess which horses will finish first and
  second. If there are eight horses in the race,
  how many different possible outcomes for the
  exacta are there?
• Do you use permutations, combinations, or a
  slot-method to solve the problem?




                                                    22
                Probability
                   100
• What are the odds of getting a “tails” when
  flipping a fair coin? What is the
  probability?




                                            23
                   Probability
                      200

• What is the probability you roll a 7 or 11 with a
  pair of dice?




                                                      24
                Probability
                   300
• What is the probability of getting a 100%
  on a 5 question multiple-choice test with
  options A, B, C, and D?




                                              25
                  Probability
                     400
• There is a raffle at the end of the year in Mrs.
  Cox’s class. When a name is drawn, it is placed
  back into the box. There are three prizes – an
  iPod worth $150, $100 in cash, and an iPad
  worth $800. To help offset the price of these
  items, she charges $10 for a ticket (the rest of
  the money was donated). Each of Mrs. Cox’s
  students gets one ticket. She has 65 students.
  What is the expected value? Should you
  participate in the raffle?
                                                 26
                   Probability
                      500
• A bag contains 3 red, 4 green, 2 blue, and 1
  purple candy. A piece of candy is selected, it is
  eaten, and then a second piece is selected.
  Draw a tree diagram. What is the probability of
  the following events?
  1. P(2 red)

  2. P(2 purple)

  3. P(1 green and 1 blue)
                                                      27

				
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