Sequences & Series Questions and Answers

In problems 8 10 Use the graph of g x to the right Assume the x and y axes are both counting by 1s 3 points Find the range of g x 2 points Find the x and y intercept s of g x 2 points Find the value of g 1 21 g x 2 2

3 4 points A car rental agency charges 225 per week to rent a car plus 0 20 per mile driven How many miles can you drive in one week for 305 You MUST set up an equation and solve the equation in order to get credit

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In the sequence below what term is the number 73 5 9 13 n Type a whole number

Consider the equation 4x 20 6x Without solving how do you know that x 2 is an extraneous solution BIUE T T

ose g n 2n 1 h n 2n 3 Find goh n A B C D 3n 16 4n 7 4n 1 4n 1

Which equation would you use to find the amount of money you have if 700 is invested at an interest rate of 5 75 compounded monthly for 25 years Compound Interest Formula A P 1 n O A 700 1 A 0 0575 700 1 0 575 25 700 1 12 25 25 A 700 1 0 0575 0 0575 12 12 25

Given the graph of the polynomial function write the function as g x in intercept form JA 2 4 2 X

Bear Grylls was dropped off in the wilderness and spots a camp 30 west of north He proceeds to hike 15 east of north for 2 5 miles and determines the camp is now 70 west of north How far is he from the camp at this point Answer to the nearest hundredth of a mile

Explain the errors in 3 of the 4 calculations below Then fix where possible 2 10 6 2x 10 10 1 2x 18 12 18 18 2x 6 2 2 x 3 3 12 10 4x 10 10 4 2x 2 2 2 X 4 12 4x 10

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HT Find the first fourth and tenth terms of the arithmetic sequence A n 1 n 1

Suppose that you decide to buy a car for 29 635 including taxes and license fees You saved 9000 for a down payment and can get a four year car loan at 5 84 Use to find the monthly payment and the total interest for the loan The monthly payment is Round to the nearest cent as needed The total interest for the loan is Round to the nearest cent as needed CHILE

Determine the truth value for the following statement when p is false and q is true q p Choose the correct answer below A False OB True

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Consider the explicit definition of a sequence an 12 3 1 Which table of values could represent a partial sequence described by the relation n an n an n 1 4 1 12 1 2 48 2 36 2 3 576 3 108 3 4 6912 4 324 4

Given that the sequence is geometric a 3 i e the first term is 3 and the common ratio is 4 find a12 i e the 12th term a12 132 12 144 12 12 582 912 a 12 50 331 648

Consider the first six terms of this sequence 3 6 12 24 48 96 What would be the 19th term of this sequence 393 216 786 432 1 572 864

Are the following lines Parallel Perpendicular or Neither Explain Line A passes through point 4 1 and 1 5 and line B passes through points 1 1 and 5 1 Line A passes through point 2 5 and 4 1 and line passes through points 7 0 and 1 4

Listen A manufacturer has total revenue given by the function R x 5 80x and has total cost given by C x 1 80x 76 where x is the number of units produced and sold How many units must be produced to break even 578 304 10 19

Find the sum if it exists 24 12 6 Select the correct choice below and fill in any answer boxes in your choice OA The sum is Type an integer or a simplified fraction B The sum does not exist

Find the nth or general term for the geometric sequence 4 4 4 4 Which represents the nth term OA 4 1 1 OB 4 n 1 OC 4 1 OD 4 1

Find the indicated term of the geometric sequence 2 4 8 16 the 9th term The 9th term of the geometric sequence is

Write a formula for the general term the nth term of the arithmetic sequence a a2 a3 a4 Then use the formula for an to find azo the 20th term of the sequence 5 0 5 10 OA 5n 10 90 OB 5n 100 C 5n 10 110 D 5n 100

Find the sum of the first 32 terms of the arithmetic series 4 13 22 31 32

Evaluate 8 3 5 OA 56 OB 8 O C 1 5040 O D 1

b Solve the equation from part a The solution set is 1 Part 2 3 Part 3 of 3 LFFEE THE c Verify that the solution checks in the original equation log 1 9 log V

2x 200 4x 40x 1 7x 21 x 7x 30 6 10 3a a 60b 75b5 5a b 10a

5 In the expavion Coefficient is C 1 of 2x ay 4 Find 64 sum of the the value of a a 3

Find the unknown angles in triangle ABC for the following triangle if it exists A 27 7 b 43 7 ft a 27 7 ft SLEE Select the correct choice below and if necessary fill in the answer boxes to complete your choice Round to the nearest tenth as needed O A There are two possible sets of remaining angles The measurements for when B is smaller are B C OB There is only one possible set of remaining angles The measurements for the remaining angles are B OC No such triangle exists and C The measurements for when B is larger are B and C 0

The credit remaining on a phone card in dollars is a linear function of the total calling time made with the card in minutes The remainin credit after 22 minutes of calls is 26 92 and the remaining credit after 48 minutes of calls is 23 28 What is the remaining credit after 57 minutes of calls

4x 52 5x 3 OA 8 00 4 13 12 OC 4 11 10 6 9 5 100 7 92 9 2 OB 8 13 12 11 OD 4 00 9 8 10 9 6 5 8 7 64 6 2 5

Basics to Multiplying Kat Simplify each expression 1 1 7b 8 9b 9b 3 A 6b C 3 56 81b k 7 5 7k A 5 k 6 C k 5 B b D 36 3b 2 k 2 7k 5 2 k 8 k 2 4 B D k 1 4k k 7 k 8

6 The RED dotted graph represents the parent function of y Determine what transformations were made for the graph in BLUE 4 points DRAG DROP THE ANSWER Vertical compresion by 2 Vertical stretch by 2 Shifted 4 units left Shifted 4 units right Shifted 1 unit down Reflected over x axis Reflected over y axis Shifted 1 unit up Note Use CTRL D to drag the option via keyboard

Question 1 4 Let f x x 4x 1 and g x 2x 3 Determine 2 f x g x 2x 6x 1 O 2x 2x 5 6x 2x 5 2x 3

Question 1 8 Multiply Express your solution with positive exponents 2a 566 7a b 146 a 14 ab 565 85 a ab

Question 1 15 Determine an equivalent form by rationalizing the denominator 6 5 3 6 3 15 3 6 5 5 15 6 3 5 3 3 6 5

Simplify the expression O C 12 13 C 12 1 C6 3 15 13

Receipt Chaos Name Sadaf Amici Use the percent proportion to fill in the missing parts of each receipt 1 Buffalo Wild Wings Receipt Medium wings 15 99 Sodas 3 21 Basket of Fries 3 99 TOTAL 2319 TIP 20 NEW TOTAL 23 19 123 19 2319 X 23 191 20 100 LO 23 19 Per

Simplify the expression Assume all variables are positive 2 3 y 7 7 5

9x 25y 225 The hyperbola 9x 25y 225 has its center at 0 0 Type an ordered pair The hyperbola 9x 25y 225 has vertices at 5 0 5 0 Simplify your answer Type an exact answer using radicals as needed Use a comma to separate answers as needed Type an ordered pair using integers or fraction Give the equations of the asymptotes for the hyperbola 9x 25y 225 Choose the correct answer below 5 A Y 3X 25 OB y gx X 3 O C y 5x 9 OD Y 25x 4

What is the vertex of the following parabola y 4x 24x 23 3 13 3 13 3 24 3 24

3 49 70 8 tayos sat gala a b c The ta y s sat galata y s sat af 2 answer B 1 9 C 6 Jata sat gate D 9 E

P varies inversely with q If P 10 when q 3 find the value of P when q 6 When q 6 P

5 1 The current I in an electrical conductor varies inversely as the resistance R of the conductor The current is ohms ampere when the resistance is 784 ohms What is the current when the resistance is 9604 2 The current is ampere Simplify your answer Type an integer or a fraction

Multiply the radical expression 2 4 11

ck here to watch the video ltiply and simplify the radicals Assume all variables are greater than or equal to zero 18a 3 15a

Simplify the radical expression Assume y 0 12 32y 32112

Suppose you are given a square with an inscribed circle as shown below If the area of the square is 100 m what is the area of the circle Use 3 14159 for T a