Sequences & Series Questions and Answers

7 If x 6 sin 0 use trigonometric substitution to write 36 x as a trigonometric function of 0 where 0 0 2

Find the measure of angles x and y 62 x 30 1

Try It How does an SAT score of 1120 compare to an ACT score of 23

The numbers of words defined on randomly selected pages from a dictionary are shown below Find the mean median and mode of the listed numbers 56 59 47 43 61 77 78 30 69 50 What is the mean Select the correct choice below and if necessary fill in the answer box within your choice OA The mean is OD Round to one decimal place as needed B There is no mean What is the median Select the correct choice below and if necessary fill in the answer box within your choice OA The median is Round to one decimal place as needed OB There is no median What is are the mode s Select the correct choice below and if necessary fill in the answer box within your choice OA The mode s is are Round to one decimal place as needed Use a comma to separate answers as needed B There is no mode

During the worst periods of hyperinflation in a certain country the price of food increased at a rate of 15 per month State whether this increase was linear or exponential If your food bill was 160 in one month during this period what was it three months later Was the growth in inflation linear or exponential Olinear exponential What was the monthly food bill after three months Round to the nearest dollar as needed

professor records the following final grades in one course Construct a frequency table for he grades A C ABCDF A C Total A C A C B C B C 1 100 BC Complete the table Type an integer or decimal rounded to the nearest tenth as needed Grade Frequency Relative frequency Cumulative frequency B D BD B D B F CO F

Solve Ix 3x 2 2

A garden is in the shape of a rectangle 56 feet long and 32 feet wide If fencing 5 25 a foot what will it cost to place fencing around the garden 924 00 181 25 462 00 9 408 00

Write a formula for the general term the nth term of the arithmetic sequence Then use the formula for a to find a20 the 20th term of the sequence an an 1 4 a 12 O A an 12n 8 a20 232 O B a 4n 8 a20 88 OC an 8n 4 a20 164 O D a 4n 16 a20 96

Write a formula for the general term the nth term of the arithmetic sequence Then use the formula for an to find a20 the 20th term of the sequence 10 6 2 2 O A an 14 4n a20 66 OB an 4n 10 a20 70 OC an 4n 14 a20 66 O D an 10 4n a20 70

an 6am 1 a 3 OA 18 108 648 3 888 23 328 OB 3 3 9 15 21 OC 3 18 108 648 3 888 OD 6 18 108 648 3 888 m www

Determine two different Hamilton paths in the following graph Select all that apply A A D F G E C B B A D F G E D B C A F G E C B D A D A D B C E G F G B E C

If a is an integer greater than 1 what is the possible value of R Indicate all such values A 0 37 B 0 45 C 0 73 D 0 98 E 1 06 To lim G 9 a a atl 1

6 Estimate the value of 1 2n 1 when x 0 5 Your estimate should be accurate x2n 1 n 0 to within 5 decimal places

Does M8 n 1 1 1 2n 4 converge absolutely converge conditionally or diverge

7 10 Represent f x 12x as a power series What is its radius of convergence

10 Represent f x 12 as a power series What is its radius of convergence

Four thousand bass were stocked in a certain lake with no bass population If the population of bass is expected to grow at a rate of 22 per year how long will it take the population to double Step 1 The time in years required for a population to double is given by t Step 2 Substitute r t In 2 t Evaluate rounding to the nearest tenth yr into the formula In 2 where r is the annual growth rate r annual growth rate

Find the interval of convergence of the power series n 1 x 5 n 5 n

10 Represent f x 2x as a power series What is its radius of convergence 1 2x

7 4n n 2 A B D 5n 6 21n 27n 10 5n 6 n 2 2n 3 21n 22n 16 5n 6 n 2 20n 29n 10 5n 6 n 2 00 8 B 2 2 12 8r A 3 2 1 D 3r 3 2 2r 2r 5 5r 14 3r 3 2 1 2r 14 3 r 2 r 1

1 24 23 229 4 x 3

19 What famous rap star does the following represent ICE Type a response

Solve Simplify your answer log x 1 BIUEX X

3 Does 2 1 2 3n n 0 converge or diverge If it converges what is the sum

Based on the scatter plot choose the best estimate of the correlation coefficient O 0 9 0 0 5 00 5

nt Future Value A P 1 Present Value P mulas below 147 044 162 240 Suppose 15 000 is deposited into a savings account earning 4 interest compounded semi annually The balance in the account after 10 years rounded to the nearest dollar is O 22 289 10 095 A 1 nt

If 1 m 3 28 ft then use dimensional analysis and the given information to convert 4 km to feet kilo O 1 13 120 ft hecto 2 1 219 51 ft 3 13 12 ft 4 1 22 ft deka base meter liter gram deci 3 centi milli

What is the next number in the list 8 12 20 32 1 36 2 48 3 42 4 40

Only one of five possible answers of a multiple choice is correct What is the probability that your answer choice will be correct if you are selecting the answer at random 01 1323 01 1 20

8 7 11 BD 7x 10 BC 4x 29 and CD 5x 9 find each value B D RD BC BD 5x 26 BC 2x 1 and AC 43 find AB D BC CD

Crafters Corporation manufactures two different miniature models of furniture a table and a chair The company has 500 feet of lumber 700 machine hours and 600 direct labor hours available for production The miniature tables and chairs provide 6 and 4 of contribution margin respectively The time and lumber requirements to build a miniature table or chair are as follows Feet of lumber per unit Machine hours per unit Direct labor hours per unit Table T 5 3 2 Chair C 2 2 4 Required 1 Express Crafters constrained optimization problem as a linear programming model 2 Using the graphing approach three comers are identifi 1 6 pts

3 If ax y and y 28 when x 2 what is the value of y when x 3 given that a is a constant 4 If y ax 5 a is a constant and y 15 when x 2 what is the value of x when y 40

Find UV 43 22 W Write your answer as an integer or as a decimal rounded to the nearest tenth UV Submit

5 Given the equation 3x 4y 8x 2y what is the value of y when x 6 6 If three more than twice x is equal to 5 less than the product of four and y what is the value of x if y is equal to 10

D C 2 E Write your answer as an integer or as a decimal rounded to the nearest m C

Extension 1 If y ax 4 and y 20 when x 8 what is the value of x when y 14 given that a is a constant 21fy ky and v 12 when y 4 what is the value of y when x 5 given that is a constant

7 If 2 3x 5 2y 4y 3z 10 what is the value of y if x 5 and z 2

3 If 2 x 10 what is the value of 3x 5

Grapple If y 3x 2z 8 and y 12 and x 2 what is the value of 3z 5

6 Determine the surface area of the cylinder 6 m r 3 height 12 m Show your work here SA 2 TT r 2 rh

Fill in the blank with an appropriate word phrase or symbol s The set of rational numbers is the set of numbers of the form The set of rational numbers is the set of numbers of the form P10 P10 where p and q are where p and q are and q 0 and q 0 whole numbers integers positive integers negative integers

n A 23 5 2422 Ke Safeware LLC 16 3x 6r n 3 5 B D 8 3r 3x 5yx 2 5x 8 1 8 A B C 7v 2v 4 3 x 2 3 v 2 10 8 3 x 2 8v 11

7 535 3T fic Sz 8 3 34 2 b 8 y

9 9 5n Sit 4 5 A B C D Sn 4 2n 3 10n 45m n 5 n 4 7n 2 n 1 2 1 5 2 2n 3 10 10 A B C 5 2x 2x x 3 D 10x 17 2x 2x x 3 7x 17 x 2x x 3 9 2x 4 x 4x 17 2x x 3

11 1 A B C 3 7r 3r 1 3 8r 3r 1 Sr 2 r 2 29r 12 7 2 5W 21 12 12 A 5 Sx 5x 2 x 6 17x 20 2x 3 x 5 35 7x 2x 3 x 5 x 6 25x 10x Hr 65x 2 B C 5x

2x 3y 323 3 A 2x x 2y 2yx B D A B C D x y 3xy x 2 2x x 2 3y 2y 3x 10x 3y y x 5y 154 6x 10x 15x 6y 10y 2x 3 2y 5 6 4

Software LLC 6 Sa 6 3b A B C D Sab 6a 4b b 3 5ba Sa 4b b 3 5ba 3a 5b b a 3b a 25a b 3a 12b 15b a Made with In fin ite Algebr

1 3 Adding Rational Expressions Simplify each expression 1 9x A B C D 3 2x 5y 9x 3x 5y 9x 2x 8xy 6y 81x x 5xy 6y 81x 21 A B O 9x 2x x 2y 210 Dy x 1 3xy x 2 2x 2 3y 2 4 2 4 6b 3b A A O 26 3 6b3b 28 4 6b3b 2 2x 6 x 9 x 2x x 3 2 2x 3 6b 3b B D B D 26 3 b 26 3 26 2 b 2b 3 6 x 2x x 3 3x 9x 2 2 x 3

19 2 points Find logs 5 without using a calculator Show all your work