Sequences & Series Questions and Answers

4 In how many ways can the elements of an eight element set be divided into four pairs there can be different answers depending on when we treat two ways of dividing as different please formulate clearly your assumptions and calculate accordingly

2 FAKT RYEL VE B LME LEM 13 a b ve c do al say lard r 6 b a oldu una g re c nin alabilece i ka farkl de vard r A 5 B 6 C 7 D 8 E 9

Suppose that M is an m x m matrix with entries M20 such that 1 M 1 for each of the olumns j 1 m Show that 1 is an igenvalue of Mk for any k EN

SAMPLE RIAL PROBLEMS 1 Let X be the set of all different eight letter words that can be obtained by permuting the letters of the word DEBUNKED How many elements does X contain In how many of them there are neighbouring identical letters In how many elements of X there are no neighbouring vowels terminology E U are vowel letters while B D K N are consonant letters

During a five day period Marta served a different number of customers at her flower shop each day The mean number of daily customers served during this period was 17 In the following month during the same five day period she served 16 customers per day for four of the days but on the fifth day she served 25 customers What is the difference between the means of the number of customers she served during the two five day periods

12 Geziye kat lanlar y remizin evlerini k pr lerini e mele rini bol bol foto raflad lar Bu c mleyle ilgili olarak a a dakilerden hangisi s y lenemez A evlerini s zc iyelik eki alm t r B Geziye s zc y nelme h l eki alm t r C k pr lerini s zc belirtme h l eki alm t r D foto raflad lar s zc o ul eki alm t r E y remizin s zc hem tamlayan hem tamlanan eki alm t r TYT AYT D L B LG S SORU BANK

Exercises 125 130 Evaluate the expression for the given function 125 f a 2 for f x 3 4x 126 f a 3 for f x x 2x 127 f a h for f x x x 5 128 f a h for f x 1 4x x 129 f a h f a for f x 2x 3 130 f a h f a for f x x x

THE SLOPE IS THE THE EQUATION FOR SLOPE IS STEPS 1 FIND 2 POINTS 2 WRITE DOWN THE FORMULA 3 LABEL YOUR POINTS 4 PLUG YOUR NUMBERS INTO THE FORMULA FIND THE SLOPE RATE OF CHANGE GIVEN A GRAPH 8 7 6 5 4 3 2 1 Y 6 1 1 M 245673 X OF A LINE IT IS ALSO CALLED THE SHOW YOUR WORK set

8 y 2x 5 654 3 2 1

it 8 y 2x 5 I x 9 19 1 9 7 y x 2

5 How many different re Irsive pattern can you find with 4 and 7 as the first 2 term Write the first 5 terms of each pattern then write the pattern rule

A survey was given asking whether people like dogs and or cats 183 said they like dogs 148 said they like cats 74 said they liked both cats and dogs 48 said they don t like cats or dogs How many people like dogs but not cats people like dogs but not cats

20 points A car s stopping distance in feet is modeled by the equation d v 58 4f where v is the initial velocity of the car in miles per hour and f is a constant related to friction If the 2 15v initial velocity of the car is 47 mph and f 0 34 what is the approximate stopping distance of the car 239 miles 21 miles 239 feet 21 feet

2 4 2 x A x C 8x6 3 4 36x6 A 216x C 343x6 B x6 D 20 B x 2 D x

A 6 C 12 B

Let the Universal Set S have 154 elements A and B are subsets of S Set A contains 30 elements and Set B contains 84 elements If Sets A and B have 3 elements in common how many elements are in neither A nor B

13 a 6 15 8a 0 15 5n 6n 8 8n n 14 13 2v 8 6 7 v 34334 24 16 x x 7 x 2 T

c 81x 121

b 9x 1

c 360

are root of a number number which multiplied by itself or inal number gives you the

M 5 7 5 A 3 2 2 4 1 3 C 7 A 2 3 5 5 9 2 2 2 15 30 3 75 13 B M C D 2 2 3 15 4 6 2 3 5 15 B D 10 8 5 11 3 2 4 M 6 8 6 3 3 4 16 A C 8 A 2 3 2 C 1 4 5 10 3 3 16 6 3 2 6 3 2 B 24 8 3 3 D 18 9 5 B 2 D zoom in 6 2 2 7 2 3 2 3

What is the complete factorization of the polynomial function over the set of complex numbers f x x 5x 4x 20 Enter your answer in the box

In 2000 the population of a town was 8914 The population is expected to grow at a rate of 1 36 each year What is the population of the town in 2006 Round the answer to the nearest whole number Enter your answer in the box

6 Which angles are coterminal with 5 Select each correct answer 0 0 16 5 11 5 75

5 7 3 2 2 4 A C A 2 3 5 B 9 C 1 3 2 2 3 15 5 9 2 2 2 15 30 3 75 13 4 6 2 3 5 15 4 3 A 4 2 3 3 C 4 B D 10 8 5 11 3 2 4 B 10 5 5 12 4 2 7 D 6 8 10 6 3 3 4 16 A C 8 2 3 2 A 4 5 10 3 3 16 10 6 3 2 6 3 2 2 2 3 4 3 3 5 4 6 3 A 23 B 8 2 15 C 2 D 4 5 2 10 24 8 3 3 D 18 9 5 B B D 6 2 2 7 2 3 2

The population of bacteria in a petri dish doubles every 12 h The population of the bacteria is initially 500 organisms How long will it take for the population of the bacteria to reach 800 Round your answer to the nearest tenth of an hour O 48h O 76h O 8 1 h 0 92 h

Kelsey is 5 years older than her sister Misty The product of their ages in years is 84 How old is Misty Drag the answers into the boxes to correctly complete the statements The equation where m is the Misty s age in years can be used to solve this problem

C Find all values of x that make the equation true extraneous solutions 12 X 24 x 5 Show your

4 Write each expression in exponential form 4 3n 5 A 7n C 6n 6 10k A 10k 4 C k B 3n 4 D 7n B 5k D 6k 5 5 VB 2 A bs C 26 B b D b

7 Simplify the radical expression a b

Solve the rational equation algebraicall 2x 3x 15x x 5 x 9x 20

below Put the numbers into the boxes to represent the sum of the rational expression given x 12 3x 3 2x 5 2x 5 2 3 x x Solution Box 5

Solve each rational equation algebraically

8 9 61 6 16 5 12 10 8

Factor 16x 121 over the set of complex numbers Enter your answer in the box

Put the numbers into the boxes to represent the sum of the rational expression given below 10x 1 3x 1 16x 6 3x 1 2 26 6 x 0 0x 0 Solution Box 3 6 5

Find the LCD for each set of rational expressions 12x 15x 60 and 5 x 9x 20

Tell whether the given ordered pairs satisfy a function If so is it a linear function 26 2 5 2 4 2 3 2 2 2 1 27 8 2 6 0 4 2 2 4 0 6 28 29 X y 10 6 0 0 25 2 2 0 50 0 75 4 1 X y 5 1 1 1 3 7 11 1 1 1

2 Sara has 85 so far in math She wants to increase her grade So far there have been 1 000 points possible in her class The expression below represents the percent she ll have if she earns 100 on her final exam which is worth x points 100 x 850 x 1000 Match each portion of the expression to its meaning A Final total number of Sara s points B Current Percent C Final ratio of points earned to points possible 850 I 100 1000 II x 850 III x 850 x 1000

3 n 2 A 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 5 b 5 7 6 5 4 3 2 1 0 1 7 6 sn 4 2 3 4 5 6 7 4 0 v 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 6 n 0 H 7 6 5 4 3 2 1 8 5 v 4 0 1 2 3 4 5 6 7

Learning Target I can solve inequalities and graph the solution set on a number line 2018 Kuta So ft ware LLC All rights reserved Examples How to graph a solution set to an inequality 1 nz 2 7 6 5 4 3 2 1 0 1 3 4 5 6 7 2 a 5 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7

13 1 8 12 53 14 15 16 10 17 7 18 3 3 19 10 20 8 12 3 21 10 2

Jake is observing the population growth of insects He started with 24 insects and the population triple every day Use x to represent the of days and y to represent the population of insects Write an equation to represent the scenario

What is the exact value of x 5 84z 376 Ox 0 x 0 x 0 x 4 log 75 2 log 8 log 8 4 log 75 2 4 log 8 log 75 2 log 75 2 4 log 8

The recursive formula for an arithmetic sequence is a 4 a 1 If a 99 what is the sixth term of the sequence 079 123 6

1 1 2 3 4 2 3 4 5 4 5 6 7 8 9 Type a response HI 6 CHOOSE ALL CORRECT ANSWERS 3 x 0 X 2

A 8 D E 9 10 B 3 C 5 If m 5 51 then m ABC 6 If m2 58 then m 3 and m BCD 7 If m26 60 and ED 10 then the perimeter of ABCD

Solve the polynomial equation by finding all roots 8x 27 0

Factor each polynomial or identify it as irreducible 2x4 7x 5