Problem 1RE: For Exercises 1-2, simplify the expression. 8!3!5! Problem 2RE Problem 3RE: For Exercises 3-4, write the first five terms of the sequence. an=n+1!n! Problem 4RE: For Exercises 3-4, write the first five terms of the sequence. c1=5;cn=2cn1+1 Problem 5RE: Given the sequence defined by bn=1n1n , which terms are positive and which are negative? Problem 6RE: Given bn=n+43n , find b45 . Problem 7RE: a. Write the first five terms of the sequence defined by an=2n+3 . b. Evaluate i=152i+3 . c. Use the... Problem 8RE: Write the sum 443+4547+ using summation notation with n as the index of summation. (Using techniques... Problem 9RE: For Exercises 9-11, find the sum. i=382i Problem 10RE: For Exercises 9-11, find the sum. i=13410 Problem 11RE: For Exercises 9-11, find the sum. i=1601i+1 Problem 12RE: Write an expression for the apparent nth term an for the sequence. 10,30,90,270, Problem 13RE: For Exercises 13-14, write the sum using summation notation. Use i as the index of summation.... Problem 14RE Problem 15RE: Rewrite the series as an equivalent series with the new index of summation. i=110i3=j=0=k=2 Problem 16RE: Determine if the statement is true or false. i=11004i2=200+4i=1100i Problem 17RE: Suppose that a single cell of bacteria divides every 20min for 4hr . Write a formula for the... Problem 18RE: For Exercises 18-20, determine whether the sequence is arithmetic. If so, identify the common... Problem 19RE: For Exercises 18-20, determine whether the sequence is arithmetic. If so, identify the common... Problem 20RE: For Exercises 18-20, determine whether the sequence is arithmetic. If so, identify the common... Problem 21RE: Determine the first five terms of the arithmetic sequence an with a1=4 , and d=8 . Problem 22RE: a. Write an expression for the nth term of the arithmetic sequence an with a1=19 , and d=5 . b. Find... Problem 23RE: Find the 23rd term of an arithmetic sequence with a1=15 and a57=239 . Problem 24RE: Given an arithmetic sequence with a15=86 and a37=240 , find the 104th term. Problem 25RE: Find the number of terms of the arithmetic sequence. 11,14,17,20,23,122 Problem 26RE: A sales person working for a heating and air-conditioning company earns an annual base salary of... Problem 27RE: Find the sum of the first 35 terms of the arithmetic sequence 1,9,17,25, Problem 28RE: For Exercises 28-30, find the sum. 3+10+17+24++437 Problem 29RE: For Exercises 28-30, find the sum. n=13625n Problem 30RE: For Exercises 28-30, find the sum. i=1685+12i Problem 31RE: How long will it take to pay off a debt of 3960 if 50 is paid off the first month, 60 is paid off... Problem 32RE: For Exercises 32-34, determine whether the sequence is geometric. If so, find the value of r .... Problem 33RE: For Exercises 32-34, determine whether the sequence is geometric. If so, find the value of r .... Problem 34RE: For Exercises 32-34, determine whether the sequence is geometric. If so, find the value of r .... Problem 35RE: Write the first five terms of a geometric sequence with a1=120 , and r=23 . Problem 36RE: Write a formula for the nth term of the geometric sequence. 40,20,10,5, Problem 37RE: For Exercises 37-39, find the indicated term of a geometric sequence from the given information.... Problem 38RE: For Exercises 37-39, find the indicated term of a geometric sequence from the given information.... Problem 39RE: For Exercises 37-39, find the indicated term of a geometric sequence from the given information.... Problem 40RE: Find a1 and r for a geometric sequence given that a3=18 and a6=486 . Problem 41RE: For Exercises 41-46, find the sum of the geometric series, if possible. n=1753n1 Problem 42RE: For Exercises 41-46, find the sum of the geometric series, if possible. i=161223i1 Problem 43RE: For Exercises 41-46, find the sum of the geometric series, if possible. k=1556k1 Problem 44RE: For Exercises 41-46, find the sum of the geometric series, if possible. i=1234i1 Problem 45RE: For Exercises 41-46, find the sum of the geometric series, if possible. n=3612n1 Problem 46RE: For Exercises 41-46, find the sum of the geometric series, if possible. 3612+443+ Problem 47RE: Write 0.87 as a fraction. Problem 48RE: An estimated 150,000 people attended the Coconut Grove art festival over a 3-day period. Admission... Problem 49RE: For Exercise 49-50, find the value of an ordinary annuity in which regular payments of P dollars are... Problem 50RE: For Exercise 49-50, find the value of an ordinary annuity in which regular payments of P dollars are... Problem 51RE: a. At age 28 , an employee begins investing 100 each pay period (twice per month) in an ordinary... Problem 52RE Problem 53RE: For Exercises 53-56, use mathematical induction to prove the given statement for all positive... Problem 54RE: For Exercises 53-56, use mathematical induction to prove the given statement for all positive... Problem 55RE: For Exercises 53-56, use mathematical induction to prove the given statement for all positive... Problem 56RE: For Exercises 53-56, use mathematical induction to prove the given statement for all positive... Problem 57RE: Use mathematical induction to show that 4nn+2! for integers n2 . Problem 58RE Problem 59RE: Evaluate the given expression. Compare the results to the result of Exercise 58. a. 30 b. 31 c. 32... Problem 60RE: For Exercises 60-64, expand the binomial by using the binomial theorem. 4y+34 Problem 61RE: For Exercises 60-64, expand the binomial by using the binomial theorem. 2x35 Problem 62RE: For Exercises 60-64, expand the binomial by using the binomial theorem. 5c3d24 Problem 63RE: For Exercises 60-64, expand the binomial by using the binomial theorem. t5+u36 Problem 64RE: For Exercises 60-64, expand the binomial by using the binomial theorem. x2+2y3 Problem 65RE: For Exercises 65-67, find the indicated term of the binomial expansion. 5x+4y6 ; fifth term Problem 66RE: For Exercises 65-67, find the indicated term of the binomial expansion. 3x428 ; middle term Problem 67RE: For Exercises 65-67, find the indicated term of the binomial expansion. 2c2d59 ; Term containing d25... Problem 68RE: Given fx=4x3+2x , find the difference quotient. Problem 69RE: Use the binomial theorem to find the value of 3+2i4 where i is the imaginary unit. Problem 70RE: Gaynelle can travel one of 3 roads from her home to school. From school to work there are 4... Problem 71RE: A disc jockey has 7 songs that he must play in a half-hour period. In how many different ways can he... Problem 72RE: In how many ways can the letters in the word SHUFFLE be arranged? Problem 73RE: In how many ways can the word SPACE be misspelled? Problem 74RE: A quiz consists of 6 true/false questions and 4 multiple-choice questions. The multiple-choice... Problem 75RE: A 3-digit code is to be made from the set of digits 4,5,6,7,8 . a. How many codes can be formed if... Problem 76RE: Evaluate 21P4 and interpret its meaning. Problem 77RE: Evaluate 24C4 and interpret its meaning. Problem 78RE: Evaluate 10P3 and 10C3 and compare the results. Problem 79RE: In how many ways can a statistician select a sample of 15 people from a population of 90 people? Problem 80RE: How many triangles can be made if the vertices are from three of the six points on the circle? One... Problem 81RE: The Daytona 500 auto race has 40 cars that initially start the race. How many first-, second- and... Problem 82RE: Suppose that a drama class has 22 students. a. In how many ways can four students be selected to... Problem 83RE: To meet the graduation requirements, a student must take 2 English classes out of 10 available, 3... Problem 84RE: Which of the following can represent the probability of an event? a. 0 b. 1 c. 1.2 d. 0.12 e. 1.2 f.... Problem 85RE: If the probability of an event is 0.0042 , is the event likely to occur or not likely to occur? Problem 86RE: If the probability of an event is 8790 , is the event likely to occur or not likely to occur? Problem 87RE: If PE=0.73 , what is the probability of PE ? Problem 88RE: Suppose that a box containing music CDs has 4 with country music, 6 with rock music, 3 with jazz... Problem 89RE: Suppose that two fair dice are rolled. Determine the probability that a. The sum of the numbers on... Problem 90RE: For a recent season, the batting average for baseball player Jose Iglesias was 0.306 . (This means... Problem 91RE: Suppose that 15 lightbulbs are in a cabinet and that 4 are defective. If three bulbs are chosen at... Problem 92RE: Suppose that a lottery game has the player select 5 distinct numbers from 1 to 30 , inclusive. The... Problem 93RE: For a recent year, the Centers for Disease Control reported that the probability that a 50-yr -old... Problem 94RE: For Exercises 94-99, use the data in the table categorizing smokers and nonsmokers according to... Problem 95RE: For Exercises 94-99, use the data in the table categorizing smokers and nonsmokers according to... Problem 96RE: For Exercises 94-99, use the data in the table categorizing smokers and nonsmokers according to... Problem 97RE: For Exercises 94-99, use the data in the table categorizing smokers and nonsmokers according to... Problem 98RE: For Exercises 94-99, use the data in the table categorizing smokers and nonsmokers according to... Problem 99RE: For Exercises 94-99, use the data in the table categorizing smokers and nonsmokers according to... Problem 100RE: For Exercises 100-103, refer to the sample space for a card drawn from a standard deck. See page... Problem 101RE: For Exercises 100-103, refer to the sample space for a card drawn from a standard deck. See page... Problem 102RE: For Exercises 100-103, refer to the sample space for a card drawn from a standard deck. See page... Problem 103RE: For Exercises 100-103, refer to the sample space for a card drawn from a standard deck. See page... Problem 1T: Write the first six terms of the sequence defined by a1=2,a2=3,an=an2+an1 for n3 . Problem 2T: Simplify. 3n+1!3n1! Problem 3T: For Exercises 3-5, a. Determine whether the sequence is arithmetic, geometric, or neither. b. If the... Problem 4T: For Exercises 3-5, a. Determine whether the sequence is arithmetic, geometric, or neither. b. If the... Problem 5T: For Exercises 3-5, a. Determine whether the sequence is arithmetic, geometric, or neither. b. If the... Problem 6T: Write the first four terms of the geometric sequence with a1=4 and r=32 . Problem 7T: Write the first five terms of the arithmetic sequence with a1=10 and a20=67 . Problem 8T: Find the 78th term of an arithmetic sequence with a1=64 and d=11 . Problem 9T: Find the 6th term of an arithmetic sequence with a1=3 and r=2 . Problem 10T: Find the number of terms in the arithmetic sequence. 15,19,23,27,,679 Problem 11T: Find the number of terms in the geometric sequence. 16,8,4,2,,116 Problem 12T: Given an arithmetic sequence with a12=21 and a50=97 , find a1 and d . Problem 13T: Given an arithmetic sequence with a3=20 and a8=640 , find a1 and r . Problem 14T: For Exercises 14-18, evaluate the sum if possible. 32+34+38+316+ Problem 15T: For Exercises 14-18, evaluate the sum if possible. k=1543k+7 Problem 16T: For Exercises 14-18, evaluate the sum if possible. i=16432i1 Problem 17T: For Exercises 14-18, evaluate the sum if possible. k=14k! Problem 18T: For Exercises 14-18, evaluate the sum if possible. i=11265i1 Problem 19T: Suppose that a county fair has an estimated 50,000 people attend over a 2-week period. Admission to... Problem 20T: An employee invests 400 per month in an ordinary annuity. If the interest rate is 5.2 , find the... Problem 21T: Lakeisha wants to put down new tile in her home. The tile costs 3.50/ft2 and labor is 4.00/ft2 .... Problem 22T: How many days will it take Johan to read a 920 -page book if he reads 20 pages the first day, 25... Problem 23T: For Exercises 23-25, use mathematical induction to prove the given statement for all positive... Problem 24T: For Exercises 23-25, use mathematical induction to prove the given statement for all positive... Problem 25T: For Exercises 23-25, use mathematical induction to prove the given statement for all positive... Problem 26T: For Exercises 26-27, expand the binomial by using the binomial theorem. x2+34 Problem 27T: For Exercises 26-27, expand the binomial by using the binomial theorem. 4c2t45 Problem 28T: For Exercises 28-29, find the indicated term of the binomial expansion. 2t+v210 ; eighth term Problem 29T: For Exercises 28-29, find the indicated term of the binomial expansion. 3x+y27 ; Term containing y6... Problem 30T: Evaluate 13P5 and 13C5 . Problem 31T: Explain the difference between a permutation and a combination of n items taken r at a time. Problem 32T: A musician plans to perform 9 selections. In how many ways can she arrange the musical selections? Problem 33T: How many outfits can be made from 4 pairs of slacks, 5 shirts, and 3 ties, if one selection from... Problem 34T: In how many ways can the word HIPPOPOTAMUS be misspelled? Problem 35T: Suppose that a jury pool consists of 30 women and 26 men. a. In how many ways can a jury of 12... Problem 36T: A review sheet for a history test has 10 essay questions. Suppose that the professor picks 3... Problem 37T: After a service call by a plumber, the company follows up with a survey to rate the service and... Problem 38T: Suppose that 50 people buy raffle tickets. a. In how many ways can 4 people who bought tickets be... Problem 39T: For a recent year, approximately 36,000 people were killed in the United States in motor vehicle... Problem 40T: A cable company advertises short wait times for customer service calls. The graph shows the wait... Problem 41T: If two fair dice are thrown, find the probability that the sum is between 6 and 8 , inclusive. Problem 42T: Suppose that two cards are drawn from a standard deck with replacement. What is the probability that... Problem 43T: For a recent year, 31.9 of Americans living below the poverty level were not covered by health... Problem 44T: For Exercises 44-47, use the data in the table categorizing the type of payment used at a grocery... Problem 45T: For Exercises 44-47, use the data in the table categorizing the type of payment used at a grocery... Problem 46T: For Exercises 44-47, use the data in the table categorizing the type of payment used at a grocery... Problem 47T: For Exercises 44-47, use the data in the table categorizing the type of payment used at a grocery... Problem 1CRE Problem 2CRE Problem 3CRE Problem 4CRE Problem 5CRE: a. Write an expression for the distance between t and 5 on the number line. b. Simplify the... Problem 6CRE: Simplify without using a calculator. 6.010139.01082.0106 Problem 7CRE: For Exercises 7-10, simplify the expression. 274/3 Problem 8CRE: For Exercises 7-10, simplify the expression. x+523x2 Problem 9CRE: For Exercises 7-10, simplify the expression. 4x263x1 Problem 10CRE: For Exercises 7-10, simplify the expression. i127 Problem 11CRE: For Exercises 11-18, solve the equation or inequality. Write the solution set to the inequalities in... Problem 12CRE: For Exercises 11-18, solve the equation or inequality. Write the solution set to the inequalities in... Problem 13CRE: For Exercises 11-18, solve the equation or inequality. Write the solution set to the inequalities in... Problem 14CRE: For Exercises 11-18, solve the equation or inequality. Write the solution set to the inequalities in... Problem 15CRE: For Exercises 11-18, solve the equation or inequality. Write the solution set to the inequalities in... Problem 16CRE: For Exercises 11-18, solve the equation or inequality. Write the solution set to the inequalities in... Problem 17CRE: For Exercises 11-18, solve the equation or inequality. Write the solution set to the inequalities in... Problem 18CRE: For Exercises 11-18, solve the equation or inequality. Write the solution set to the inequalities in... Problem 19CRE: Given fx=2x35x228x+15 , a. Find all the zeros of fx . b. Identify the x-intercepts of the graph of f... Problem 20CRE: An object is launched from a height of 4ft at an angle of 60 from the horizontal with an initial... Problem 21CRE: Solve the triangle with sides of length a=5cm,b=7cm , and c=10cm . Round the measures of the angles... Problem 22CRE: For Exercises 22-25, graph the equation. y29x216=1 Problem 23CRE: For Exercises 22-25, graph the equation. x+124+y229=1 Problem 24CRE: For Exercises 22-25, graph the equation. y=log2x+3 Problem 25CRE: For Exercises 22-25, graph the equation. yx+1forx1x+1forx1 Problem 26CRE: Explain how the graph of fx=2x1+3 is related to the graph of y=x . Problem 27CRE Problem 28CRE: Given gx=5x1 , a. Is g a one-to-one function? b. Write an equation for g1x . Problem 29CRE: Given fx=x3x27x+15 , a. Is 2+i a zero of fx ? b. Is x+3 a factor of fx ? Problem 30CRE: Given rx=3x2+2x25x14 , a. Determine the vertical asymptote(s). b. Determine the horizontal or slant... Problem 31CRE: The population of a city was 320,000 in the year 2000 . By 2012 , the population reached 360,800 .... Problem 32CRE: Write the expression in terms of logx,logy , and logz . logx3y5z Problem 33CRE: Simplify. log2116 Problem 34CRE: Given 43,4 in rectangular coordinates, find two representations in polar coordinates: one with r0... Problem 35CRE: For Exercises 35-37, solve the system of equations. 2x5y=133x+2y=3 Problem 36CRE: For Exercises 35-37, solve the system of equations. 4x2z=46y+5z=87x3y=13 Problem 37CRE: For Exercises 35-37, solve the system of equations. 2xy=6x2+y=9 Problem 38CRE: Use Gaussian elimination or Gauss-Jordan elimination to solve the system of equations.... Problem 39CRE: Use Cramer's rule to solve the system. 13x2y=115x+3y=6 Problem 40CRE: Graph the solution set. x2+y216yx2+4 Problem 41CRE: For Exercises 41-46, refer to the matrices given and perform the indicated operations, if possible.... Problem 42CRE: For Exercises 41-46, refer to the matrices given and perform the indicated operations, if possible.... Problem 43CRE: For Exercises 41-46, refer to the matrices given and perform the indicated operations, if possible.... Problem 44CRE: For Exercises 41-46, refer to the matrices given and perform the indicated operations, if possible.... Problem 45CRE: For Exercises 41-46, refer to the matrices given and perform the indicated operations, if possible.... Problem 46CRE: For Exercises 41-46, refer to the matrices given and perform the indicated operations, if possible.... Problem 47CRE: Given A=121013102 , find A1 . Problem 48CRE: Use the inverse matrix from Exercise 47 to solve the system of equations. x+2yz=5y+3z=13x+2z=5 Problem 49CRE: Given y+22=8x1 , a. Determine the vertex of the graph of the parabola. b. Identify the focus. c.... Problem 50CRE: Determine whether the sequence is arithmetic or geometric and find the value of the common... Problem 51CRE: Find the 500th term of an arithmetic sequence with a1=6.9 and d=0.3 . Problem 52CRE: For Exercises 52-53, find the sum. k=1745k+3 Problem 53CRE: For Exercises 52-53, find the sum. i=1862i1 Problem 54CRE: Find the sum if possible. 6+2+23+29+ Problem 55CRE: Evaluate the expressions. a. 8! b. 1211 c. 15P3 Problem 56CRE: Expand the binomial. 3xy25 Problem 57CRE: Simplify. 3n1!2!3n+1! Problem 58CRE: In how many ways can 5 children be arranged in a line for a photograph? Problem 59CRE: Suppose that four people are to be randomly selected from a group of 8 women and 5 men. What is the... Problem 60CRE: If one card is selected from a standard deck of cards, what is the probability that the card... format_list_bulleted
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