Sequences & Series Questions and Answers

a n the n th term of the sequence 27 9 3 dots

In Exercises 25 32 find the nth term of the geometric sequence Use the table feature of a graphing utility to verify your answer numerically a4 25 a 4 a 1 n 10

Find all complex solutions to the equation Write the solutions in polar form WO 2 W 1 The solutions are 2 i 0sin cos

Use Cramer s rule to find the solution to the following system of linear equations 5x 4y 3 2x 8y 9 The determinant of the coefficient matrix is D M 11 1 100 D 11 H F E B 0 177 1 DO X 0 2

what is the systems solution for y 1 and y 3 4 x 4 solve the equation

A store find that its sales revenue changes atrategiven by S 5 41 where is the number of weeks after an advertising campaign ends and Osts 30 Find the total sales for the first three weeks after the campaign ends t0 to 1 1 OASS Obs 33 Ocso 00 27

Which of the following statements about par value is true Multiple Choice Par value is generally greater than market value Par value has little connection to the market value of the stock Par value may be revised each time a company issues more shares of stock Par value dictates the Inital price of the stock

Integrate x 2x 5 1 2 x 1 dx O a x 2x 5 1 C O b OC x 2x 5 2 1 x 2x 5 C 2

In the figure below there are three right trangles Complete the following P R S O Cfagito a Write a similiarity statement relating the three right triangles APRO A A b Complete each proportion ROD RQ PQ RQ PR PS 11 PQ 10

Kenneth wants to have a maximum of 80 cash at the ticket booth when his church carnival opens He will have 1 bills and 5 bills If a is the number of 1 bills and y is the number of 5 bills the inequality x 5y 80 models the situation Graph the inequality 20 15 10 5 20 Clear All Draw First Solution 40 Second Solution 60 List three solutions to the inequality x 5y 80 where both x and y are integers 80

5 In the parking lot of a large mall 64 of cars are foreign made 12 are the color blue and 8 are blue and foreign made cars a Draw a Venn Diagram b What is the probability that a randomly selected car was i A foreign car or a blue car ii Not a foreign car and a blue car

Alex can clean the carpet in a room 10 minutes faster than Shane If they work together it takes them 12 minutes to clean the carpet in a room making their combined rate 1 12 carpet per minute How long would it take Shane to clean the carpet in a room working alone

Find all rational zeros for the function f x x 3 6x 2 25x 18

Place the following numbers in order from least to greatest 3 2 3 5 2 2 2 03 4 4 3 5 3 2 2 2 03 2 4 3 3 5 2 2 2 2 03 2 2 03 2 2 3 3 5 4 4 3 5 3 2 2 03 2 2

3 The product of two consecutive positive even integers is 80 Find the integers

5 The length of the base of a parallelogram is twice the length of its altitude The area of the parallelogram is 50 square centimeters Find the length of its base and altitude

Find a possible formula for the trigonometric function whose values are in the following table 8 12 16 20 24 4 2 4 y X y 0 4 4 6 4 6

Find the sum of the first six terms in the sequence 1 5 9 13 A B 60 21

nd the sum of the following series Round to the nearest hundredth if necessary 7 35 175 2734375 Sum of a finite geometric series a1 an w Sn 11 m

A boat is traveling through the water at a speed of 10 km hr with a bearing of 96 A current flowing at a speed of 6 km hr is pushing against the boat in the direction 176 What is the true speed of the boat and in what direction is it traveling Round the speed to the nearest 0 01 Do not include the unit of measurement km hr in the answer Express the direction in degrees and round to the nearest 0 1 degree Do not enter the degree symbol in the answer true speed direction B

Carbon Decay Carbon 14 has a half life of 5730 years How long will it take for 200 grams to decay to 120 grams Round your answer to two decimal places 120 grams of Carbon 14 will remain after approximately years

5 12 points Convert the following fractions to decimals using of the three methods demonstrated in class Remember that each method can only be used once b a D 317

of the follow Multiple Choice O Appropriated Retained Earnings Pald In Capital In Excess of Par Value Retained Earnings Treasury Stock

ces TB TF Qu 11 188 Static Treasury Stock Is reported on the balance Treasury Stock Is reported on the balance sheet between the liabilities and stockholders equity sections True or False TIVE Folce

3 Orgo has let out 50 meters of kite string when he observes that his kite is directly above Zorna If Orgo is 35 meters from Zorna how high is the kite

3 ences TB TF Qu 11 178 Static The number of shares of stock The number of shares of stock outstanding generally is greater than the number of shares of stock Issued True or False True False

1 Find the value N such that the partial sum n 2 1 n In n 4 with an error less than 0 01 N 1 n 2 n ln n 4 estimates the infinite sum

The partial sum 3 9 27 729 equals

1 96 X 286 94 5 55 Hide Transcribed Text

25E 1 2 100 1 2 25 how do you solve this such that E 4

Mrs White wants to crochet hats and afghans for a church fundraising bazaar She needs 6 hours to make a hat a 3 hours to make an afghan and she has no more than 39 hours available She has material for no more than 10 items and no more than 8 afghans The bazaar will sell the hats for 21 each and the afghans for 12 each How many of each should she make to maximize the income for the bazaar What is the maximum income OA 5 hats and 5 afghans 165 OB 8 hats and 2 afghans 192 OC 7 hats and 3 afghans 183 OD 3 hats and 7 afghans 147

What is the standard deviation for the following set of numbers 5 17 10 9 3 8 14 14

4 a 5 az For the sequence an an 1 An 2 and a a2 its first term is its second term is its third term is its fourth term is its fifth term is Question Help Video Submit Question For the sequence an an 1 an 2 and a 4 a 5 its first term is its second term is its third term is its fourth term is its fifth term is

1 O Lines and 1 are parallel lines Determine the mea through 12

Which graph represents y 3 x 2 8 64 8 6 at CH4 f 199 LO 8 M 11 6 8 X

For the following system of equations show that Gauss Seidel iteration method is convergent then apply two iterations of Gauss Seidel iteration method by taking initia point as x 0 1 0 1 to find the vectors x1 and x 2 25 p 12x 3x 5x3 1 X 5x 3x3 28 3x 7x 13x3 76

In Exercises 39 42 the first two terms of the arithmetic sequence are given Find the missing term Use the table feature of a graphing utility to verify your results 39 a 5 a 11 aio 10 a 3 A 13 13 Ao an

termine whether the infinite geometric series is convergent or divergent If it is convergent find its sum If the series is divergent enter DIVERGENT 1 1 27 1 WENN

Give as good a big O estimate of as possible 3 4 log n 1 n 0 3 0 4 0 4 n 00 n O log n 1

Sang invested some money at 5 interest Sang also invested 103 more than 3 times that amount at 12 How much is invested at each rate if Sang receives 1911 48 in interest after one year Round to two decimal places if necessary Step 2 of 2 Solve the system of equations Jimm pens in new window Key Keyboard Sho Previous Part Ar

In a lab experiment the decay of a radioactive isotope is being observed On the first day of the experiment the mass of the substance was 800 grams and mass was decreasing by 7 per day Write a recursive formula to represent the mass of the radioactive sample on the nth day of the experiment A

How long will it take for 2600 to grow to 39300 at an interest rate of 3 7 if the interest is compounded continuously Round the number of years to the nearest hundredth OA 73 4 years B 7 34 years C 7 339 77 years D 1 98 years

1 a b C Find the value of the unknown angle d 23 m 8 cm 14 m 0 13 cm 32 m 5 5 mm 24 m m s 8

The product of two consecutive even numbers is 624 Find the numbers

The one to one functions g and h are defined as follows x 13 11 h 7 8 3 4 6 5 8 1 9 6 Find the following g x g x g 2 h 8 14 X

14 Find the domain of the function f x x x Ox 0 Ox 0 orx 1 0 x 1 0 or 1

The data show the sizes of seven different computer files in megabytes Make a box plot that shows the distribution of file sizes 188 55 O A Choose the correct answer below O C 0 142 0 228 50 File Sizes 50 100 150 20 Megabytes File Sizes 100 150 20 Megabytes O B O D 0 215 50 50 185 File Sizes 100 150 20 Megabytes File Sizes 100 150 20 Megabytes

Find the equation of a line that is parallel to the line whose slope is 4 3 and contains the point 4 5

Question 11 If f is a one to one function and f 3 5 then f 1 5 equals 1 5 3

An airplane has an airspeed of 500 kilometers per hour bearing N45 E The wind velocity is 70 kilometers per hour in the direction N30 W Find the resultant vector representing the path of the plane relative to the ground What is the ground speed of the plane What is its direction What is the actual ground speed of the aircraft 522 5 kilometers per hour Round to the nearest tenth as needed What is the actual direction of the aircraft relative to due north east of north Round to the nearest tenth as needed