Sequences & Series Questions and Answers

Two angles are supplementary The smaller angle is 36 less than the larger angle Find the measure of the smaller angle Note Enter only a number no words or symbols in the answer box

Consider the figure pattern shown below 1 2 3 If that pattern were continued how many squares would be in the nth figure On 3 3n 4 3n 1 4

Write an equation to represent the following statement Let p the number of pens and m the number of markers There are 8 more pens than markers O O 8m P 8p m Om 8 p Op 8 m

Which of the following sequences is an arithmetic sequence O 3 4 6 9 13 18 24 O 1 4 9 16 25 36 49 O 3 6 12 24 48 96 O 6 12 18 24 30 36 42 O 1 4 5 1 4 5 1 4 5 1 4 5

8 Use the Rational Zero Theorem to list all the possible rational zeros for f x 3x 11x x 19x 6

Describe the end behavior of the graph of f x 3x 11x 8x 4 B I U

1 1 1 1 2n A T 50 3 X Converges K diverges or 00 ite 2

What are the domain and range of the piecewise function below 10 te 49 domain wap 10 4 85 7 9 6 40 An O domain x 6 range y2 3 3 or

Simplify the expression x y xy x y 2 Write your answer with only positive exponents

Solve for x X 11 R 56 5x S N P 62 8x M

Rewrite this number as a whole number or decimal 3 02 10 X answer

y x 4321 5 4 3 2 10 x f x 47445O 1 2 3 4 5 x f x y 415 1 2 3 4 5

7 10 pts Evaluate the average rate of change of the function f x x 4 from a 1 to z 2

10 10 pts Find f x where f 1 is the inverse of f x 2x 4 x 1

Given that a that sequence Oan 2n 1 O an S 3 and a5 O an 10n 3 O an 2a 1 1 10am 1 3 33 which recursive formula represents

40 Listen Which of the following expressions is equivalent to tan a b O a tan 2a 1 tan 26 b tan a tan b 1 tan a tan b c tan a tan b tan a tan 6 d tan a 1 tan b Question 36 1 point 4 Listen

Question 31 1 point 4 Listen Which of the following is equivalent to csc 0 sec 0 a cot 0 b sin 0 cos 8 Oc 1 sec 0 d tan 0 Question 32 1 point 4 Listen

4 Listen An equivalent expression to cos x is Oa sin x b cos x Oc cos x d sin x Question 39 1 point 4 Listen Which of the following expressions is equivalent to cos 0 1 sin 0

The solution s to 2 cos x cos x 1 0 for 0 x 2m is are a 0 5 2 and 2 Ob 0 and 27 Oc and 4 3 d 0 2 4 and 27 3

Question 22 1 point 4 Listen Evaluating the sine of a difference of two angles can be done using sin A B a sin A sin B cos A cos B b cos A cos B sin A sin B c cos A cos B sin A sin B d None of these

Listen Solve the equation 3 cos x cos x 1 0 for x in radians to two decimal places where 0 x 2m a 1 12 and 2 45 Ob 1 12 and 5 16 c 3 84 and 5 16 d 1 12 2 45 3 84 and 5 16 Question 14 1 point Listen Solve 2 sec x 5 sec 2 2 0 for 0 x 2

Question Listen Find an equivalent expression to sin z 3 a 3 cos 2 sin z b 3 cos z sin z c sin z 3 cos z 2 d cos z 3 sin 2 2 Previous Page Next Page

Question 5 1 point Listen Find the exact value of sin 5 O al O b 1 1 20 Od 21 12 Od 3 Question 6 1 point Listen

The noise from a power mower was measured at 102 dB The noise level at a rock concert was measured at 115 dB Find the rall the intensity of the rock music to that of the power mower Round your answer to the nearest whole number

th Question 1 of 7 What property of the whole numbers justifies each step in this calculation 15 8 10 5 8 10 8 5 8 10 8 40 10 8 4 10 0 10 8 4 10 0 8 10 4 10 0 c What property of the whole numbers justifies the sixth step A The distributive property of multiplication over addition CEZ This quiz 7 point s possible This question 1 point s possible expanded notation a one digit multiplication fact expanded notation b c Subm

Parking lots A and B each charge a set fee for parking plus an hourly rate Hours Parked Lot A Cost Lot B Cost 5 29 50 29 00 8 43 00 41 00 Mr Diaz needs to park his car and realizes that it would cost the same in both lots For how man hours does Mr Diaz need to park Provide your answer below

17th Question 4 of 7 This quiz 7 point s possible This question 1 point s possible Think 10 30 60 65 69 Submit quiz Calculate the given expression mentally using easy combinations Write a sequence of numbers indicating intermediate steps in your thou process The first one is done for you a 9 14 5 1 6 28 2 4 b 6 9 3 5 8 12 7 8 b Select the choice below that shows a sequence of numbers indicating intermediate steps in your thought process and fill in the final answer in the answer box in your choice

The table below shows the altitude of a space shuttle af 1 Time s 0 10 20 30 40 50 37 746 60 70 80 90 100 110 120 Altitude ft What is the average rate of change in feet per second of the shuttle from 30 seconds 7 938 4 160 9 872 17 635 26 969 37 746 50 548 66 033 83 966 103 911 125 512 147 411 3 464 6

7 Solve 7cos 5x 2 for the smallest three positive solutions Give your answers accurate to at least two decimal places as a list separated by commas 8 3sin 5x 2 for the four smallest positive solutions X Give your answers accurate to at least two decimal places as a list separated by commas

3 How many years will it take a single investment of 500 to increase 50 in value at an annual rate of 7 5 compounded monthly Provide evidence to support your solution

Explicit and Recursive Applications Lisa decided to start exercising The first day he jogged 0 5 miles The next day she plans to jog 0 1 miles more than the previous day e g on day 2 she will jog 0 6 and on day 3 she will job 0 7 If she succeeded in doing this how many total miles did she run for the week a 5 6 miles b 6 8 miles c 4 5 miles d 1 1 miles

Find the quotient using long division 3x2 9x 3 x 5 3x 9x 3 x 5 3x 2 Simplify your answer

ind the exact solution to the following DE y y 3x 2x 4 y 0 0 y 0

li M Question 2 1 point Recursive Explicit Definitions Given the recursive definition a 2 a 4 and that a a 20 b 44 c 12 thy IN

202351 Hilton M x us d2V le content 3795497 viewContent 52737261 View ali Moreno Miranda Attempt 1 ecursive Explicit Definitions The first term of a sequence is t 3 and the recursive definition is 2 t n What is the second term of the sequence O a 7 b 8 Oc 9 d 6 Sign out

1 k12 go us eftali Moreno Miranda Attempt 1 Which is the only sequence below that could NOT be described by the following recursive definition a 2 a 1 a 0 1 3 7 15 31 b 3 5 7 9 11 Oc 2 5 11 23 47 O d 1 1 1 1 Sign out Dec 11

6 A geometric sequence has 32 as its first term and a common ration of a Find the 7 term find the sum of the first 7 terms c find the sum of all the terms or indicate that it is infinite if that is your conclusion

Solve the following equation for a logg 8 log x 2 Do not include in your answer If there are is more than one answer list them separated by comma

Which expression is an expanded form of In 10 m Select the correct answer below In 10 In m O In 10 Inm In 10 In m O In 10 Inm O2 In 10 Inm O In 10 2 In m

Graph both the sequence of terms and the sequence of partial sums on the same screen Use the graph to make a rough estimate of the sum of the series Then use the Alternating Series Estimation Theorem to estimate the sum correct to four decimal places 10 gn 1 1

A sales representative who lives in city A wishes to start from home and visit 6 different cities cities B C D E F and G She must choose either to drive her own car or to fly If all cities are interconnected by both roads and airlines how many travel plans can be constructed to visit each city exactly once and return home There are possible travel plans Type a whole number CED

Use properties of logarithms to solve 1 10 50

The polynomial f x given below has 1 as a zero Find the other zeros of f x Select all correct answers Select all that apply 3 2i C 5i 2 3i 5i 3 2i 3 f x x 3x 9x 13 on

Multiply 3x 1 2x 7 3x 1 2x 7 C

Question 17 of 39 She should blend lbs of high quality beans Round to the nearest pound as needed This question 1 point s possible Sarah Meeham blends coffee for Tasti Delight She needs to prepare 180 pounds of blended coffee beans selling for 4 88 per pound She plans to do this by blending together a high quality bean costing 6 50 per pound and a cheaper bean at 3 25 per pound To the nearest pound find how much high quality coffee bean and how much cheaper coffee bean she should blend She should blend lbs of cheaper beans Round to the nearest pound as needed Submit test

Write the following sentence as an equation Use x to represent a numbe The product of 4 and the sum of 5 and a number is 30

Find the next coordinate of the projectiom of point P 5 3 7 unto the given plane 5x y 3z 63 0

Use n 6 and p 0 3 to complete parts a through d below a Construct a binomial probability distribution with the given parameters P x X 0 1 2 3 4 5 6 Round to four decimal places as needed

2 10 points Rewrite the equation for this circle in Standard Form Identify the center and radius of the circle Graph the equation and label four points without using a calculator 2 12x y 10y 12 0

Evaluate 3 2 5 4 3 8 5 16 3 32 5 64