Sequences & Series Questions and Answers

Which of the following sequences is arithmetic O 4 6 7 10 13 O 5 3 1 2 4 O 21 35 39 42 54 O 3 5 7 9 11

Write the nth term rule for the arithmetic sequence with the given term and common difference Fill in the formula a a d n 1 below a7 32 and d 7 an n 1

Use the sequence 10 2 25 Find an equation that defines ak term of the sequence O O ak 12 ax 21k 2 12 4 ak x 10 1 ak 15 5 1 4 ak 5 5 4 5k 1

Find the fifth term of the following sequence 36 9 a5 O 3 17 9 64 9 23 24

In a sequence a A2 A3 each of the subscripts 1 2 3 is called a n O Rule O Index O None of these O Term

Use the sequence 1 5 9 13 Find the next three terms in the sequence O 14 16 18 O 17 21 25 O 15 17 19 None of these

The missing term in the following sequence is 0 11 100 10 1 0 1 0 001 0 0001 O True False

Find the term named in the problem 3 6 12 24 Find 12

Find the magnitude and angle with 0 0 2 for v 3 1

The perimeter of the centimeters quadrilateral is 42 Find the length of each side

4 1 in n find divergence convergence aus sum

Use the Venn diagram to answer th In 2016 among the top 100 grossin and earned over 100 million The less than 100 million was 43 The earned less than 100 million was

raphing utility to solve the e 2

How do I find the derivative equation With steps would be greatly appreciated 0 1x of this

a Show that 1 i ani an 1 i 1 for n N b Show that Sn li 1 i smi 1 for n E N

The Ferris wheel the London Eye with a radius of 60 m is rotating at a rate of one revolution every thirty minutes Exactly how fast in m min is a rider rising when his seat is 100 m above the bottom of the wheel

Insider the following sequence Sn 1 n 2 a Find the first three terms of the sequence whose nth term is given S1 S2 S3 b Classify the sequence as arithmetic geometric both or neither O arithmetic O geometric O both O neither If arithmetic give d if geometric give r if both give d followed by r If both enter your answers as a comma separated list If neither ent

The given contingency table lists the cross tabulati answering the question was appropriate feel their and females among the 1 868 appropriate adults in

Apply 13 The table shows the number of students in Mrs Travis s homeroom that use each type of transportation to get to school What percent of the students walk or ride their bicycle to school Ale Quee 14 The table shows the number of winners of different prizes at the school carnival from one game booth What percent of the winners won a large or medium size prize 15 BUILD PERSEVERANCE Without calculating arrange the following from least to greatest percent Justify your reasoning 20 is what percent of 160 4 is what percent of 80 20 is what percent of 80 Bus Type of Transportation Bicycle Walk Car Prize Large Medium Small Mini Number of Students 11 4 007 8 Number of Winners 21 33 45 Hond 51 16 FIND THE ERROR A student used equivalent ratios to find what percent 15 is of 300 Find ant the student s mistake and correct it 45 15 300 100 15 is 45 of 300 bag

If f 1 7 then the point is on the graph of f

A rocket is launched at t 0 seconds Its height by h t 4 9t 88t 262 What is the independent variable and its units Independent variable What is the dependent variable and its units Select the correct units Dependent variable Units Select an answer Units Select an answer

Given the function f x 7x 4x 7 calculate the following values f 0 f 2 f 2 f x 1 f x Do not simplify

An object is fired from a cannon Its height after t seconds is given by the function h t 16t 224t 130 feet How high was the object after 5 seconds The object was feet high Enter an integer or decimal number more Min

For each function below identify the Slope horizontal intercept and vertical intercept Write your numerical answers as whole numbers or reduced fractions Write your intercepts as ordered pairs Write DNE if a slope or an intercept Does Not Exist Function Slope C 2y 4x 12 y 1 5 y 3 8 y 5 7 4 5x 4 8 Vertical Intercept

Convert 5 logs 1 3 125 Provide your answer below to exponential form

Cynthia invested 12 000 in a savings account If the interest rate is 6 how much will be in the account in 10 yea compounding continuously Round to the nearest cent Sorry that s incorrect Try again

Find the Taylor series of the function at the indicated number f x 6e x x 0 n 0 6

10 Janet and David Scott bought 1 500 shares of Metro Health Care REIT MHC at 84 92 per share The broker s commission was 14 95 for fewer than 1 000 shares or 0 015 per share for 1 000 shares or more a What was the cost of the stock b What was the total paid

7 The mean of two numbers is 24 What is the sum of these two numbers

Gary received the following scores on his first 4 quizzes 92 84 79 92 What is the lowest grade Gary can get on his next quiz to have an average of at least 87 for the five quizzes

8 If the mean of five consecutive integers is 6 what is the median of the five integers

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Which of the following exponential functions is decreasing from left to right Select two correct answers Select all that apply f x f x 0 74 2 f x f x 1 3 f x 2 3

The point P 1 1 2 lies on the curve y x 1 x a If is the point x x 1 x use your calculator to find the slope of the secant line correct to six decimal places for the following values of

Select all of the following tables which represent y as a function of x X 4 3 3 7 16 X 4 3 4 9 3 Y 2 215 8 14 Y 2 ANNN 2 2 8 14 X Y 3 2 2 1 4 1 8 9 13 11 Y X 3 3 5 4 7 9 12 13 0 ONT 2

Which statement best describes f x 2 x 7 1 O 6 is in the domain of f x but not in the range of f x O 6 is not in the domain of f x but is in the range of f x O 6 is in the domain of f x and in the range of f x O 6 is neither in the domain of f x nor in the range of f x

A track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters The population mean is 62 95 inches with a standard deviation of 5 65 inches

Find the inverse of the one to one function f x 6x 7 F x Use integers or fractions for any numbers in the expression

Find the inverse of the relation 4 5 1 7 2 4 5 5 The inverse is Type ordered pairs separated by

e36 83 cm D 7 62 cm 4 Triangle JKL is similar to triang 6 in 15 in

A sum of money amounting to 4 05 consists of dimes and quarters If there are 27 coins in all how many are quarters 9 quarters 14 quarters 18 quarters 20 quarters

The sum of a student s three scores is 222 If the first is 27 points more than the second and the sum of the first two is 9 more than twice the third what was the first score 62 points 71 pointe

17 7 f x 5 2 6 4 12 S 14 2 4 TA

J 2019 Kuta S of tw are 25 x 2 9 x 1 20 18 1

Divide 3x35x 10x 3 3x 1 For the toolbar press ALT F10 PC or ALT FN F10 Mac

The following function is one to one Fin

SAFETY In August 2001 the American Automobile Association reported that 73 of Americans use seat belts In a random selection of 10 Americans in 2001 what is the probability that exactly half of them use seat belts 0 075 or 7 5 0 23 or 23 0 50 or 50 0 73 or 73 Question 3 1 pts

WHAT MAKES UP A TICKER SYMBOL IN THE UNITED STATES O O O O Between 1 and 5 Letters or Numbers The first 3 letters of a company s name Between 1 and 5 letters only Between 1 and 7 numbers only

In Exercises 27 30 write a rule for g described by the transformations of the graph of f 27 The graph of g is a translation 3 units left of the graph of f x x 29 Let g be a horizontal shrink by a factor of 0 5 followed by a translation 4 units down of the graph of f x 2x 6 28 The graph of g is a vertical stretch by a factor of 2 of the graph of f x x 3 30 Let g be a reflection in the y axis followed by a translation 1 unit right of the graph of f x 2 x 1

In Exercises 37 40 the graph of a cube root function is shown Graph g See Example 5 38 The graph of g is a translation 2 of f 37 The graph of g is a wason 3 units up of the graph of f 2 velocities usin