Sequences & Series Questions and Answers

A man gets a job with a salary of 37 800 a year He is promised a 2 450 raise each subsequent year During a 5 year period his total earnings are

Find the common ratio and write out the first four terms of the geometric sequence 1 08 1 Common ratio is a1 a2 a3 as 11

For an arithmetic sequence 015 42 If the common difference is 2 find 01 the sum of the first 45 terms

Find the 4th term of the geometric sequence 5 25 125 Answer

Find an equation for the graph shown to the right SIIS Type the equation in the form y A sim wax or y Acos x y 0 Type an exact answer using x as needed Use integers or fractions for any numbers in the expression 14 14 FIN 13 54

Evaluate the expression if x 2 y 9 and z 3 If an answer is undefined enter UNDEFINED x y Z 1

Given the geometric sequence 26 2 7 find a formula for the n th term 338 9 1 www

5 The revenue function for a certain product is given by R c 450 while the cost function for this product is given by C 340c 3300 Find a profit function for this situation

Find the 4th term of the geometric sequence 6 27 121 5 Apniori

Without graphing determine whether the function represents exponential growth or exponential decay Then find the y intercept f x The function of the graph represents exponential Select Select decay growth The y intercept is 0 Select

Find the nth term of the geometric sequence whose initial term is a 4 5 and common ratio is 3 Your answer must be a function of n an

Determine whether the sequence is arithmetic geometric or neither 1 8 1 32 1 128 1 512 1 2048 Select an answer If the sequence is geometric what is the common ratio

Park service personnel are trying to increase the size of the buffalo population of a large park If 360 buffalo currently live in the park and if the population s rate of growth is 3 annually find how many buffalo rounded to the nearest whole there should be in 20 years Use y 360 2 7 0 031 where t represents time in years The number of buffalo in 20 years should be 0725 653 645 610

Find the amount Erica owes at the end of 5 years if 6300 is loaned to her at a rate of 8 compounded monthly The amount owed is 1 8456 14 9386 03 O 9445 12

The purchase value of an office computer is 12 450 Its annual depreciation is 1 900 The value of the computer after 7 years is

For the given function identify the transformations from the parent function y b X 2 v 2 2 O 2 right 2 down O2 left 2 up O 2 left 2 down O 2 right 2 up BUTCHOUM THOSE LURER OUTLE DIRI PARTILE PHONE

ina invest 4 000 at 3 interest compounded continuously How much money will she have in 4 years Do not use dollar signs or commas in your answer Round to two decimal places since you are dealing with money

Write the arithmetic sequence 12 3 6 15 in the standard form

Find the 8th term of the arithmetic sequence 2 5 8 Answer Fun 170 INGLE 18

Write the arithmetic sequence 5 8 11 14 in the standard form

Is the sequence an 1 9 8n arithmetic Your answer is input yes or no If your answer is yes its first term is and its common difference is

Write the arithmetic sequence 19 11 3 5 in the standard form Pr

If the 100th term of an arithmetic sequence is 611 and its common difference is 6 then its first term a1 its second term ag its third term a3

Write down the first five terms of the sequence an a 92 a3 04 05 C 11 11 11 Ti n 2 4n 7n 7

Use a graphing calculator to find the first 10 terms of the sequence an its 9th term is its 10th term is MURE 11 n

For the sequence an its first term is its second term is its third term is its fourth term is its 100th term is 8 n 1 Question Help Video

Find the sum 9 14 19 44 Answer

Find the coordinates of the vertex and the focus for the parabola given by the following equation z 18z 20y 21 0 Round all answers to 2 places after the decimal point if necessary Coordinates of the vertex

Find the vertex focus and directrix for the following parabolas a y 5 8 z 6 vertex focus directrix y 12y 20z 6 vertex focus directrix z 1 20 y 2 vertex focus directrix d 2 16T vertex 4y 20

1 Find the equation for the parabola that has its vertex at the origin and has directrix at y 44 The equation is

4 Lamarion has a case of fishing line that contains 56 spools Each spool has 220 feet of fishing line on it He also has 25 feet of line left over from his last case How many total feet of fishing line does he have Write a math equation to represent this 1 pt and find the answer 1 pt

For which values of x is the expression undefined 2 81 x 6

At a restaurant a manger recorded the sales for one of his servers named Damaria 52 60 48 52 46 52 28 192 71 59 Which center should be used to best represent the data Damaria s mean sale is 70 Damaria s median sale is 52 Damaria s mode sale is 52 Damaria s range of her sales is 164 Question 4 25 points A student has a 90 84 and an 86 on there first 3 tests What score would the student need to make on the 4th test to bring his test average up to 90 90 94

What is the median of the following data set shown in the dot plot 076 8 5 9 5 9 0 5 B The mean would go up by 0 9 The mean would go down by 0 9 The mean would go up by 14 The me 10 Question 2 25 points Consider the data set 4 5 5 5 6 6 8 9 11 12 What would happen to the mean if another data point of 17 was added to the data set

Discrete Mathematician math 150 Define algorithm and describe the algorithm for locating a particular element in a finite set Explain the difference between mathematical induction and strong induction Explain the basic techniques of counting Define basic vocabulary of graph theory

cross section of a sculpture can be modeled by a hyperbola see figure 2 13 1 0 3 2 169 3 2 13 1 0 2 3 4 2 13 2 13 a Write an equation that models the curved sides of the sculpture Amazing work b Each unit in the coordinate plane represents 1 foot Find the width of the sculpture at a height of 4 feet Round your answer to three decima x ft 2 266

3 9 The following data matrix contains data on test scores with x score on first test x score on second test and x3 total score on the two tests X 12 17 29 18 20 38 14 16 30 20 18 38 16 19 35 a Obtain the mean corrected data matrix and verify that the columns are linearly de pendent Specify an a a a2 a3 vector that establishes the linear dependence b Obtain the sample covariance matrix S and verify that the generalized variance is zero Also show that Sa 0 so a can be rescaled to be an eigenvector correspond ing to eigenvalue zero c Verify that the third column of the data matrix is the sum of the first two columns That is show that there is linear dependence with a 1 a2 1 and a3 1

Given 2 sin 0 3 cos 0 rsin 0 a and 0 0 27 ii Determiner and a Thus estimate the value of 0 if 2 sin 0 3 cos 0 3

3 A system of linear equations has augmented matrix 1 a b 1 1 1 0 1 1 0 1 b For which values of a and b the system consistent Are there values for which the is a unique solution Determine the general solution

Calculate forecasting values using regression and residuals With provisions there are 15 period and for demand create a demand using randbetween 50 99 Then also make demand and period charts Make it using Ms Excel

10 8 6 4 N N IN 1 X 10 1 8 V 6 4 2 7 1 27 2 6 8 10 77 N 7 1 2 A 1 X N 8 10 Q Write the standard equation for the hyperbola graphed above

If a bacteria population starts with 80 bacteria and doubles every two hours then the number of bacteria after t hours is n f t 80 2t 2 a Find the inverse of this function f n Explain its meaning in the context of this problem This function tells us how long it will take to obtain n bacteria given the number n This function tells us how long it will take to obtain n bacteria given the number t b When in hr will the population reach 90 000 Round your answer to one decimal place hr

The geological theory that Earth s surface is comprised of large slow moving pieces of crust is referred to as O Geologic movement O Tectonic boundaries Plate tectonics

Which of the following is NOT a factor impacting countries vulnerability to geological hazards namely of earthquakes and the differences that result in damages and casualties Role of relief organizations Ethnolinguistic traditions Housing traditions Population density

California s San Andreas is an example of O A rift O Amid ocean ridge O A fault A subduction zone

What is Puerto Rico s relationship to the United States O It remains an overseas U S colony with no political rights O It is an independent country wishing to merge with the United States It successfully passed a bill to become the 51st American State in 2018 O It is a commonwealth that presented a bill for American statehood

6 y y Find the roots of the following quadratic equa tions by factoring O Two 53 2 2 and y 3 2 are roots of 7 2 y 3 0 8 2 6x 8 0 12 0 11 24 106 1 1 The one root the 4 8 16 Exa usin Sol 2 2 Wi V

x y 8x 2y 1 0 is the equation of a circle with center h k and radius r for h and k and T

Write a function of the form f x cot Bx C for the given graph f x TU HER 31 4 15 cet J 7

Let M 4 1 5 03 The row echelon form of the matrix is Do not switch rows