# Sequences & Series Questions and Answers

Algebra

Sequences & SeriesUse the sum to product identities to rewrite the following expression in terms containing only first powers of tangent Answer sin9x sin5x cos9x cos5x

Algebra

Sequences & SeriesIndicate whether the following statement is true or false A customer prepaid a services fee to Link Co a year ago Upon the completion of its services Link Co would record nothing because the cash had been collected during the previous year True or False True False

Algebra

Sequences & Series4 Bolum Chapter n Ae N 151 251A 10 max n 1 3 2 A 3 B N 35 361 A 10 n A 34 B 5 A 8 n Ae N 381 391 A 10 max n A 8 C 6 B 9 B 35 C 36 E 38 35 36 35 Con 35 1 36 1 404 35 37 1 10 1 37 1 A ne N 481 49 A 10 max n B 12 C 10 D 9 C 14 D 37 D 11 E 10 D 16 E 12 E 20 1 METROPOL YAYINLARI METROPOL PUBLICATIO 5 401 1 6 7 8 A 10 A 10 999 9 n n tane fn times B 9 511 3999 97 n n tane n times A 0 B 11 C 8 A 501 A 2357 abcd a b c d A 14 B 16 C 18 B 1 D 7 C 12 D 13 11 2 3 28 XX C 2 D 20 D 3 E 6 E 14 E 22 E 7

Algebra

Sequences & Series4 Bolum Chapter n A EN 151 251A 10 1 3 2 A 3 B 5 n A N 351 361 A 10 En A 8 A 8 max n A 34 B 35 C 36 D 37 E 38 d 351 36 35 1 7 351 1 36 d 10 n Ae N 381391 A 10 max n B 9 C 6 A ne N 481 49 A 10 B 12 35 37 1 10 1 37 1 C 10 D 9 max n C 14 E 10 D 11 ENA D 16 E 12 E 20 0 METROPOL YAYINLARI METROPOL PUBLICATIO 5 401 1 6 A 10 8 A 10 7 A 501 999 9 n n tane fn times 511 3 999 97 n n tane n times A 14 B 9 A 2357 abcd A 0 B 11 a b c d C 8 B 16 C 18 B 1 D 7 C 12 D 13 11 2 3 28 x x C 2 D 20 D 3 E 6 E 14 E 2 E 7

Algebra

Sequences & SeriesA tank has a population of 8 fish Their lengths are listed in the table Find the 3 decimal population mean Find the Population Median Find the 3 decimal Population Standard Deviation 13 16 12 15 4 17 12 6 11 16

Algebra

Sequences & SeriesFind each for 22 18 12 18 16 21 19 Mean 2 decimal Standard Deviation Median Mode

Algebra

Sequences & SeriesThe mean age of a group of students is 17 and the standard deviation is 5 What is the z value of a student with age 16 years Part 2 of 3 2 6 6 X What is the z value of a student who is 28 years old IC PA

Algebra

Sequences & SeriesPart 1 of 3 Find each from the data Give a 1 decimal answer if needed 12 19 28 38 34 31 21 27 14 Find Q1 Part 2 of 3 Find Q2 Part 3 of 3 Find Q3 D 3 16 96 X 2 10 OC 5 X D

Algebra

Sequences & SeriesBONUS Bonus will be graded as noted in the rubric with the understanding that a student s grade cannot exceed 105 points Part 6 Bento boxes b are special boxed lunches in Japanese cuisine Sushi rolls r are also a popular lunch item usually made of rice seaweed vegetables and either raw or cooked fish Steven wants to buy 3 bento boxes b and 2 sushi rolls r A Write an expression that represents Steven s purchase B Each bento box is 10 yens and sushi rolls are 8 yens How much did Steven spend on his purchase Show your work

Algebra

Sequences & SeriesA ball is thrown into the air with an upward velocity of 40 feet second Its height h after t seconds is given by the function h t 16t 40t 12 Answer the following questions by typing your answer in the box provided for each part A In how many seconds does the ball reach its maximum height Round your answer to two decimal places B What is the maximum height of the ball Round your answer to the nearest foot feet seconds

Algebra

Sequences & SeriesThe height h t in feet of the ball above the ground t seconds after being thrown can be modeled by the function h t 16t 40t 5 What is the meaning of the number 5 the function h t The ball takes five seconds to reach the ground The ball reaches a maximum height of five feet O The ball takes five seconds to reach its maximum height O The ball was thrown from an initial height of five feet d Fab 2 9 29 US

Algebra

Sequences & SeriesApollo Spas services 266 hot tubs If each hot tub needs 135 mL of muriatic acid how many liters of acid are needed for all of the hot tubs

Algebra

Sequences & Seriesx 2 x 2 8 When you square both sides what is the resulting equation in the next step before you solve for x 8 4 x 8 2 x 2 8 10 11 x 2 64 12 13

Algebra

Sequences & Series3 Prove that the relation R defined on the set X N 0 by aRb if and only if a 362 is divisible by 4 is an equivalence relation Determine its equivalence classes 1 R 10 R How many different equivalence classes does this relation have

Algebra

Sequences & Series2 Find the union UnEN 0 An and intersection neN 0 An of the sets 1 An 12 1 2 2 Pay special attention to the endpoints of the appropriate intervals

Algebra

Sequences & Seriesfind value of x that makes matrix A singular x4 1 A Select one O a 2 O b 1 C 1 d 2 O

Algebra

Sequences & SeriesA 8 b 34 Triangle is not necessarily drawn to scale Find the length of side b a Q round to two dec

Algebra

Sequences & SeriesThe graph of g has a vertical asymptote at x 1 and horizontal asymptotes y 3 and y 2 Determine the limits lim g x lim g x lim g x and lim g x X 1 8118 X48 X 1 lim g x x118 lim g x 818 lim g x X 1 lim g x x 1 6 4 2 2 A g x 2 X

Algebra

Sequences & Series5n 2n n 4n6 5n5 2n 5n 3 5p Find lim 3 5p Find lim n n 5n n 1 3p Show that lim tg x 2 g x 7 x 0 does not exist

Algebra

Sequences & Series1 point What is the cycle of a traffic light with respect to time a 3 Ob the time it takes to repeat Oc infinite O d gro

Algebra

Sequences & SeriesWrite a recursive rule for the sequence 208 104 52 26 13 6 5 A recursive rule for the sequence is a a

Algebra

Sequences & SeriesThe first two terms of a sequence are a 9 and a 3 Let a be the third term when the sequence is arithmetic and let b be the third term when the sequence is geometric Find az bz az b 3

Algebra

Sequences & Seriesy 2x 9 Which of the following consists of the x coordinates of all the points that satisfy the system of inequalities above A 12 B x 3 C x 3 D x 6

Algebra

Sequences & SeriesTO Answer Attempt 1 out of 2 se the expression below Then compute and or simplify 5y5y 5y 5y 5y Type the base then use the a button or type the symbol on your keyboard for the exponent A Condensed form 96

Algebra

Sequences & SeriesThickness measurements of ancient prehistoric Native American pot shards discovered in a certain village are approximately normally distributed with a mean of 5 3 millimeters mm and a standard deviation of 0 7 mm For a randomly found shard fin the following probabilities Round your answers to four decimal places USE SALT a the thickness is less than 3 0 mm 0 0004 b the thickness is more than 7 0 mm c the thickness is between 3 0 mm and 7 0 mm

Algebra

Sequences & Series2 Regina Skyler and Evander own a commercial floor cleaning business Working together they can clean a warehouse floor in 2 hr Working alone Regina can clea the floor in 8 hr and Sklyer can clean the floor in 6 hr How many hours would it take Evander to clean the warehouse floor working alone Enter the answer to the nearest tenth 10 pts

Algebra

Sequences & SeriesMatch each expression concerning the set B x x E N and x 20 on the left with the best match on the right B a a EN and a 20 B 20 21 22 n B a DNE b Set builder Notation c Roster Notation d 20 e 3 f The set of all natural numbers g 0

Algebra

Sequences & SeriesNot yet answered Marked out of 1 50 4 Find Ay reaction A O a 2 KN O b 0 KN O c 4 KN O d 1 KN 2 m 4 kN 2 m B 2 m 2 kN

Algebra

Sequences & SeriesArithmetic mean of the following frequency distribution is 5 find the value of X Variable frequency 6 DO X 1 X 1 X 1 2X 5 Select one O X 1 O b No enough information to compute value of x X 4 d X 3 e X 2

Algebra

Sequences & SeriesCat 26 7 Horse 5 9 15 15 25 How many people were surveyed How many people owned cats and dogs How many owned cats or dogs Dog How many did not own horses How many owned cats or dogs but not horses

Algebra

Sequences & SeriesThe Venn diagram here shows the elements in each set Use this to find the elements in the given sets U A 2 4 U BC UA List the elements in each set If any result is the empty set type the word empty without quotation marks An B B

Algebra

Sequences & SeriesSimplify each radical expression and enter its simplified form in the blank To enter a square root expression use sqrt as in sqrt3 for 3 a 10 10 2 10 You are incorrect b 3 2 2 2 2 You are incorrect C 8 50 7 2 X X X

Algebra

Sequences & SeriesThe sporting equipment has been sorted into baseballs and bats The number of baseballs is four less than three times the number of bats The equipment is 80 baseballs Choose the equation that best represents this scenario O X 3x 4 X 3x 4 X 3x 4 80 20 20 80 80 100 20

Algebra

Sequences & SeriesThe swimming team has competed in 45 races this season They have won 30 races so far How many races will the team need to win today for the team to have a 75 success rate 8 O 10 012

Algebra

Sequences & SeriesProportions can be used to convert units For example to convert 250 centimeters to meters you set up the proportion 1 m xm 100 cm 250 cm Use proportions as described above to convert each of the following If necessary round your answers to one decimal place a Convert 14 feet to inches in b Convert 14 feet to yards yd Need Help Read It

Algebra

Sequences & SeriesZOBLEM 4 Find values 3p lim qn 1 39n qn 4p lim q 1 ng 2 9 2qx q x x q 3p lim arctg 7

Algebra

Sequences & SeriesThe prism has a volume of 1368 cubic centimeters Find the height h h cm h 8cm 9 cm