Mathematics High School

Consider a geometric sequence with a first term of 4 and a fourth term of -2.916.
a) Find the common ratio of this sequence.
b) Find the sum to infinity of this sequence.

Answers

Answer 1

Answer:

a) Find the common ratio of this sequence.

Answer: -0.82

b) Find the sum to infinity of this sequence.

Answer: 2.2

Step-by-step explanation:

nth term in geometric series is given by [tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82[/tex]

where

a is the first term

r is the common ratio and

n is the nth term

_________________________________

given

a = 4

4th term = -2.196

let

common ratio of this sequence. be r

[tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82[/tex]

a) Find the common ratio of this sequence.

answer: -0.82

sum of infinity of geometric sequence is given by = a/(1-r)

thus,

sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2

Related Questions

12 cups equal:
A. 3 gallons
B. 6 quartz
C. 2 gallons
D. 24 quartz
E. 6 pints

Answers

Answer:

6 pints

Step-by-step explanation:

I just asked Alexa

6 pints

12 cups equals 6 pints

Three out of five students in Mrs. Bishop's class play chess. What percentage of students in her class play
chess?

Answers

Answer:

60%

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

8x + 4.3= 2(x+6) + 6x - 7.7​

Answers

Answer:

Step-by-step explanation:

8x=2x+12+6x-7.7-4.3

8x=2x+12+6x-12

8x=8x

x=x

X could be any number

Example : If x=4

4*8+4.3=2(4+6)+6*4-7.7

32+4.3=20+24-7.7

36.3=36.3

It will be nice if you give me brainliest.Good luck!

Plsss help, will reward brainliest!!! Thank you.



Look at picture^^^

Answers

Answer:

-2b and -0.9b and b/12

Step-by-step explanation:

First to awnser will the question correct will get brainlyist
The number 51 is decreased to 26. What is the percentage by which the number was decreased, to the nearest tenth of a percent?

Answers

Answer:

-49%

Step-by-step explanation:

i know this one by doing a long math formula

Answer:

49.0%

Step-by-step explanation:

take the 2 numbers and find the difference

51 - 26 = 25

take the difference and divide it by the orginal number

25÷51 = 0.49019607843

then times that number by 100

(25÷51) × 100 = 49.0196078431

so the number was decreased by 49.0 %

PLSSS HELP this is for a rlly big test and i still have 20 questions left

Answers

Answer:

B

Step-by-step explanation:

you subtract .5 of an inch from 2.5 and then you multiply it with the width and length. once you multiply it should be 35 cubic feet... I'm positive

who loves beetle juice

Answers

Answer:

i literally just finished watching it lol

Answer:i do becuase it is a funny movie :))

Step-by-step explanation:

what is 1,935,825 in scientific notation ?

Answers

answer:1.935825×10 to the sixth power

step by step: your going to move the decimal point 6 places to the left. which became 1.935825x10 to the sixth power.

MATH 2 HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Vertical stretch of 2

Step-by-step explanation:

Since there is no fraction, it wouldn't be a shrink, and there's a negative symbol therefore it would also be a reflection, and it wouldn't translate down because it's not inside parenthesis or the square root, and it would actually translate up three, therefore it's a vertical stretch of two

Which point lies on the line that passes through the
point (9,-5) and has a slope of -6?

Answers

Answer:

y=5

Step-by-step explanation:

I am pretty sure that is the answer but dont rely completely on me

sum of two integers is -30 if one of them is 15 find the other integer pls urgent will mark u the brainliast​

Answers

-45
Because you do 15-45 which is -30

Answer:

-45

Step-by-step explanation:

Sum of two integers = -30

one of them = 15

let another number be 'x'

x + 15 = -30

x = -30 - 15

x = -45

so the other number is -45

20 plates in 5 stacks = how many plates per stack

Answers

Answer:

there should be 4 plates per stack

Step-by-step explanation: hope this helps

Answer:

4 stacks of plates

Step-by-step explanation:

20 divided by 5 is eqaul to the amount of plates per stack, which is 4

Juan has a bottle with 50 liters of Power Aid in it. He is going to divide the Power Aid evenly between 8 of his friends after football practice. How m
will each friend get?
42 liters
B 400 liters
C 6.25 liters
D 12.5 liters

Answers

C 6.25 litres as 50/8 = 6.25

Answer:

C. 6.25 liters

Step-by-step explanation:

50 ÷ 8 = 6.25

Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?


Answers

Answer:

The answer is x > -2.5 or (-2.5,infinity)

Step-by-step explanation:

what temperature is 12%C hotter than 16%C

Answers

The temperature that 12%C is hotter than 16%C is 4%C

The Tucker family had a meal catered for wedding anniversary dinner. Th cost of the dinner was $489 they had a coupon for 10% off and there was a 5% sales tax what was the total cost including the discount and sales tax nearest cent

Answers

Answer:415.65

Step-by-step explanation:

Answer:

415.65

Step-by-step explanation:

trust me

Graph: y – 3 =} (x + 2)

Answers

Answer:

f

−

1

(

x

)

=

x

−

3

Step-by-step explanation:

If bill walked 12 feet and Jackson walked 1/4 more than that how many feet did Jackson walk

Answers

Answer:

He walked 15 feet

Step-by-step explanation:

its kinda hard to explain for me, but thats the answer :)

Given f(x)=2x+1, find the range value if the domain value is 1.75. *

Answers

Answer:

4.5

Step-by-step explanation:

Domain means that value of x and range means the value of f(x) so

[tex]f(x)=2x+1 \\f(1.75)=2(1.75)+1\\f(1.75)=4.5[/tex]

so the range value is 4.5

1. Ms. Fox asked her class “Is the sum of 4.2 and √2 rational or irrational?” Patrick answered that the sum would be irrational. State whether Patrick is correct or incorrect. Justify you reasoning.

Answers

Answer:

correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sum doesn’t terminate or repeat

Helps me solve this problem please please

Answers

IT LOOKS LIKE transtive:)))))

Answer:

D

Step-by-step explanation:

Solve each of these equations.

3(n+2)=9(6-n)

Answers

Answer:

n= 4

Step-by-step explanation:

3n+6= 54- 9n

12n= 48

n=4

Answer:

4

Step-by-step explanation:

3n+6=54-9n

-3n

6=54-12n

-54

-48=-12n

N=4

Convert 8 ounces into grams. Round your answer to the nearest whole number.

Answers

Answer:

227 g

Step-by-step explanation:

it would be 226.8 g

to find grams from ounces, multiply the ounces by 28.35 for an approximaye answer

So who wants to help mehhhhh

Answers

Answer:

I will

Step-by-step explanation:

Tyler looks at a map on his phone. He zooms in until the map scale for centimeters to kilometers is 0.3 to 1/5. How many centimeters does the map use to show 1 kilometer?

Answers

one kilometer is equal to a hundred thousand centimeters

Use the diagram of trusses for a railroad bridge.

AM I CORRECT DO I NEED TO ADD AN ANSWER OR TAKE AWAY ONE

Answers

You should take off E and add C and D because perpenidcular bisector means not only does it form a right angle to the line, it also bisects it, or cuts it into 2 equal portions. Also, If you look at triangles BED and BEF, they are congruent as both have right angles and equal sides BE, and DE = EF. So, BD = BF.

E is wrong because you don't know if line AC is perpendicular to DA, nor do you know if it's parallel to DF. And you don't know if DA is parallel to BE either. You ONLY know that BE is the perpendicular bisector of DF.

WILL GIVE BRAINLIST

Samuel drove 28 miles in 32 minutes. Beverly drove 42 miles in 48 minutes.

Are the ratios of miles to minutes for Samuel and Beverly proportional?

Drag and drop to correctly complete the statement.

Answers

= Ratio of minutes to miles in which Samuel drove = 28 : 32

= Ratio of minutes to miles in which Beverly drove = 42 : 48

To find whether the time they drove and the distance they covered were proportional or not , let us first change them into a fraction and then simplify them .

= 28 : 32 = 28/32

= 28/32

Both the numerator and the denominator is divisible by 4 .

= 28 ÷ 4 / 32 ÷ 4

= 7/8 = 7 : 8

Samuel = 7 : 8

Beverly = 42 : 48 = 42/48

= 42/48

Both the numerator and the denominator is divisible by 6 .

= 42 ÷ 6 / 48 ÷ 6

= 7/8

Therefore, the ratio of miles to minutes drove by Samuel and Beverly is proportional , 7:8 :: 7:8

Answer:

7:8 7:8

Step-by-step explanation:

if you subtract 28 from 42 and subtract 32 from 48 then you get 14-16. then double it and you get 28-32 then add 14-16 to those again and you get 42-48. because they add up and are equal, take 14-16 and simplify it to 7:8.

If the linear regression is y = 5.21 + 0.35x, what is the value of the slope?

Answers

Answer:

Slope is 0.35

(O, 5.21)

Step-by-step explanation:

Use y= m x + b

Y=0.35 + 5.21

TBH I don't know what grade it is but who ever answers this is gonna get brainlest. The question is if Jonny had a coupon for a 74% off and he got something for $259 how much will he have to pay.​

Answers

$67.34. if you multiply the total amount of money he has (259) by the percentage of (74) you will get (19,166). you then will divide the total by (100). which then gives you ($191.66) that will be given off. so you then subtract the total of money he has (259) by (191.66) which will give you (67.34). he will be paying ($67.34).

Ms. Morgan bought 3.5 pounds of bananas at $0.54 a pound. If she paid with a $10 bill, how much change will she receive? just the bananas just curious cause im dumb as heck

Answers

Answer:

$8.11

Step-by-step explanation:

Answer:8.16$

Step-by-step explanation:

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