Sequences & Series Questions and Answers
Algebra
Sequences & SeriesLet f x x 3 Match each X value to its corresponding function value f x Drag and drop options on the right hand side and submit For keyboard navigation SHOW MORE X 2 X 0 x 1 x 3 E 3 III E 1 7 6
Algebra
Sequences & SeriesFind an equation of the line graphed Write the equation in standard form 10 8 1088 2b B 24 810 A Q The equation is Type your answer in standard form Simplify your answ
Algebra
Sequences & SeriesFind the slope of a line parallel to the line 5x 2y 4 Select the correct choice below and if necessary fill in the answer box to complete your cha The slope of a line parallel to 5x 2y 4 is OA Simplify your answer Type an integer or a fraction OB The slope of a line parallel to 5x 2y 4 is undefined
Algebra
Sequences & SeriesHere is a graph that represents d t distance meters 80 60 40 2 Function d t gives the distance of a boat from the dock t seconds after leaving the dock Distance is measured in meters 20 20 40 60 80 100 120 140 160 180 time seconds Select the statement in function notation that represents the situation A d 40 d 60 3 d 20 20 d 120 0 d 0 170
Algebra
Sequences & SeriesConsider the following figure Find the following a m 8 in degrees Given ABC APRC muA 77 PC 9 CR 40 PR 41 AB 82 b m RPC in degrees C AC d Ca
Algebra
Sequences & SeriesGiven a matrix transformation f R R defined by 700 694 f v the image of the point 2 3 under f is Select one O 3 2 2 3 2 3 O 3 2 None of these V
Algebra
Sequences & SeriesThe graph of F x shown below in pink has the same shape as the graph of G x x shown in gray Which of the following is the equation for F x 5 5 5 0 0 OA F x x 2 1 OB F x x 1 2 O C F x x 1 2 D F x x 2 1 1 2 5
Algebra
Sequences & Series5 A movie theater sells adult tickets and child tickets for recently released movie Each adult ticket costs 12 25 and each child ticket costs 7 75 On Friday the theater brought in 1 051 75 in ticket sales by selling a total of 109 tickets Determine how many adult tickets and how may child tickets were sold I
Algebra
Sequences & Series3 Suppose that a dart lands at random on the dartboard shown below Find each theoretical probability hint see Problem 5 in your textbook reading Keep in mind that the width of each ring r is 1 5 in 5 20 Width of each ring r a The dart lands in the bull s eye circle in the very center
Algebra
Sequences & SeriesConsider the space V R 3 x V Z x y z E R in which we considers the standard addition of vectors For each of following definitions of multiplication by a scalar determine whether V is a vector space a a x y z ax y az
Algebra
Sequences & SeriesFind the future value for each of the following scenarios where m is the periodic deposit and r is the interest rate compounding time frequency 200 3 7 annually 475 3 semiannually 15 mr 325 4 4 350 7 6 425 6 4 quarterly monthly weekly in years 5 13 14 13 future value S S S interest earned
Algebra
Sequences & SeriesB 6 Let ABCD be a rectangle Let E be a point on AD such that BE LEC Assume AE 8in and BC 15in Justify your work to determine the exact value of a The length of segment BE and b The area of AEBC 8 In E 7 C B 11 Construct perpendicular make point P 1 5 Whenever there a right 31 3 same circles U B 8 W P 7
Algebra
Sequences & SeriesThe table shows the location and magnitude of some notable earthquakes How many times more energy was released by the earthquake in Mexico than by the earthquake in Afghanistan Use the given equation for comparing earthquake intensity level and magnitude I log M M 1 Earthquake Location Italy El Salvador Afghanistan Mexico Peru Date October 31 2002 February 13 2001 May 30 1998 January 22 2003 June 23 2001 Select one O a about 0 70 times as much energy O b about 5 01 times as much energy O c about 12 63 times as much energy O d about 7 times as much energy Richter Scale Measure 5 9 6 6 6 9 7 6 8 1
Algebra
Sequences & SeriesIf the lengths of the sides of the triangle below are shown in inches how many inches long is side AB B F 12 G 40 H 70 J 4 3 K 4 5 8 C 4 A
Algebra
Sequences & SeriesFor the stem and leaf plot below what is the median 14 5 1666789 2 0 1 1 2 3 44566 2 7 7788999 30 1 1 2 3 4455 36 66 78 899 40 1 A 16 B 28 OC 29 D 36
Algebra
Sequences & SeriesAstatements about the positive integers is given Write statements S and Sx 1 simplifying statement Sk 1 completel S 4 8 12 4n 2n n 1 White statement S S 4 8 12 Do not simplify Crea
Algebra
Sequences & SeriesFind all the values of x such that the given series would converge x 5 572 n 1 The series is convergent from x to x left end included enter Y or N right end included enter Y or N
Algebra
Sequences & Series2 What is the sum of the following arithmetic sequence 30 2n 1 n 1 O 729 O 841 O 900 O 784
Algebra
Sequences & SeriesFind the three arithmetic means between 41 and 109 41 109 55 71 95 56 73 94 52 80 97 58 75 92 O None of these are correct Find the sum of the arithmetic series 22 5k 40
Algebra
Sequences & Series7 Calculate the ag term of the geometric sequence with 3 a2 1 and r O 243 O 81 O 243 O 729 O None of these are correct 3 Find the sum of the arithmetic series if a 84 a26 34 and n 26
Algebra
Sequences & SeriesWhat are the two missing terms of the following arithmetic All changes saved 57 6 40 23 O 44 27 46 18
Algebra
Sequences & SeriesFind the sum of the arithmetic series 24 20 2k k 1 Calculate the a73 term of the geometric sequence w 35 2 andr 1 35 2 73 35 73
Algebra
Sequences & Series5 Find the sum of the geometric series a 8 a5 128 r 2 S5 6 Find the sum of the geometric series 8 5 k 1 1 k 1 O 65124 O 65104 O 65072 O 65111
Algebra
Sequences & Series27 Find the sum of the arithmetic series if an 48 n 16 and d 6 S16 O S16 1493 O S16 1475 O S16 1498 O S16 1488
Algebra
Sequences & Series3 Find S4 of the sum of the geometric series a1 192 a4 24 r 1 2 377 353 360 346 None of these are correct 4 Find the sum of the arithmetic series if a 35 22 112 and n 22 O S22 O S22 S S22 S O S22 847 846 833 840
Algebra
Sequences & Series9 Find the sum of the geometric series 64 32 16 8 4 2 S6 10 Find the sum of the geometric series 3 9 27 81 243 729 S6
Algebra
Sequences & Series1 Calculate the a90 term of the geometric sequence with a30 9 and r 1 O 30 O 90 O 30 O 9 O 09 O 90 O None of these are correct
Algebra
Sequences & SeriesThe following geometric sequence is missing four terms Identify any of the following answers that fit into this ged sequence 2 189 9 More than one answer may be correct select all that ap 1 I 21 14 2 63 3 7
Algebra
Sequences & Series11 Find the next three terms in the geometric sequence 1 3125 1 1 625 125 x
Algebra
Sequences & Series5 For the geometric sequence find the two missing terms between 1 and 1 1 27 27
Algebra
Sequences & SeriesO IME 15 4k 705 684 694 676 None of these are correct 8 Find the sum of the arithmetic series 22 k 7 k 2 9 Find the sum of the arithmetic series if a 2 a23 156 and n 23
Algebra
Sequences & Series10 Find the sum of the arithmetic series if 36 n 17 and d 12 S17 11 Find the sum of the arithmetic series 9 14 5k k 1 12 Find the sum of the arithmetic series 24 5k 25
Algebra
Sequences & SeriesO O 35 36 37 38 39 31 O 33 32 30 29 O 34 33 32 31 30 O 35 6 1 1 33 34 1 34 33 32 31 O 34 35 O None of these answers are correct fourth term fifth term I 35 36 37 5 Name the next three terms of the arithmetic sequence 7 2 11 3 3 36 37 38
Algebra
Sequences & Series7 Find a37 if a O 375 O 361 O 363 O 370 O None of these are correct 75 and d 8 8 Find the 34th term for 29 24 19 1
Algebra
Sequences & Series11 Find a38 if a 19 and d State your answer as a decimal Round to the nearest hundredth if necessar a38 13
Algebra
Sequences & Series5 You work for a roofing company and must order the correct number of tiles to complete the final side of the roof It is in the shape of a trapezoid The numbers of tiles in each row form a sequence We know we will have 20 rows to complete the job The first row has ten tiles Each row has two more tiles than the previous row a Is this sequence arithmetic or geometric Explain b How many tiles are needed for each of the first four rows c Write the equation for the sequence in this situation d How many tiles are in the fifteenth row e How many total tiles will be needed to complete the job
Algebra
Sequences & Seriesthough you want to choose a career that fits your interests and abilities it is good to have an idea of what jobs pay when looking for career options The bar graph shows the average yearly earnings of full time employed college graduates with only a bachelor s degree based on their college major Use the information given by the graph to represent the following set by the roster method The set of college majors with average yearly earnings that exceed 57 000 Click the icon to view the bar graph Choose the correct answer below OA Social Work Philosophy Nursing Journalism Marketing Accounting Engineerim B Accounting Engineering OC Philosophy Nursing Journalism Marketing Accounting Engineering OD Journalism Marketing Accounting Engineering
Algebra
Sequences & Series8 List the domain and range for the relation 7 2 3 17 7 9 4 9 Range 2 7 4 9 Domain 3 4 7 Range 9 7 3 17 Domain 4 9 9 Domain 3 17 2 Range 9 2 9 17
Algebra
Sequences & SeriesConsider the function e 3 f x e 5 e 7 ex 1 When x 0 When x 0 Your answers should be integers or improper fractions in simplest form If appropriate you can also enter infinity or infinity as answ fox has an x intercept at x fix has vertical asymptotes at If there are multiple values input your answers with commas between them and no spaces eg In 12 in 7
Algebra
Sequences & SeriesGiven ATUV when ZV is the right angle and t 18 and u 25 the length of the hypotenuse v is O 17 35
Algebra
Sequences & Series7 Select the group of fractions that are arranged in order from least to greatest O 2 2 3 1 O 2 2 1 2 21 5 23
Algebra
Sequences & Series11 The repeating decimal 0 255255255 may be expressed in a fraction as O O 253 1000 255 1000 253 999