Sequences & Series Questions and Answers

Let 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

Find 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

Find 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

Here 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

Consider 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

Given 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

The 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

5 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

3 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

Consider 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

b Rotate rectangle RECT around point O by an turn angle of 90 R E

Find 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

The graph below represents y log2 x 5 2 0 Select one O True O False

B 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

The 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

Divide using synthetic division x5 7x 8 3 X X 1 x5 7x 8 X 1 11 X 1

If 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

For 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

A CD is called the D of AABC B

Astatements 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

Find 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

2 What is the sum of the following arithmetic sequence 30 2n 1 n 1 O 729 O 841 O 900 O 784

Find 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

7 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

What are the two missing terms of the following arithmetic All changes saved 57 6 40 23 O 44 27 46 18

Find 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

5 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

27 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

3 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

9 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

1 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

The 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

11 Find the next three terms in the geometric sequence 1 3125 1 1 625 125 x

7 Find the next three terms in the geometric sequence 2 21 7 3 14 x

5 For the geometric sequence find the two missing terms between 1 and 1 1 27 27

Which scatter plot indicates a perfect positive correlation D A B C 87 E

O 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

10 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

O 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

7 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

11 Find a38 if a 19 and d State your answer as a decimal Round to the nearest hundredth if necessar a38 13

5 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

though 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

Find the 10 th term a 10 for the sequence a n 3n 9

8 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

Consider 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

Given ATUV when ZV is the right angle and t 18 and u 25 the length of the hypotenuse v is O 17 35

9 The repeating decimal 0 188188188 may be expressed in a fraction as

7 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

11 The repeating decimal 0 255255255 may be expressed in a fraction as O O 253 1000 255 1000 253 999