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


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So who wants to help mehhhhh

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Answer:

I will

Step-by-step explanation:

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

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Answer:415.65

Step-by-step explanation:

Answer:

415.65

Step-by-step explanation:

trust me

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Answer:

f

1

(

x

)

=

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D

Step-by-step explanation:

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

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Answer:

60%

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

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

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Answer:

He walked 15 feet

Step-by-step explanation:

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

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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

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



Look at picture^^^

Answers

Answer:

-2b and -0.9b and b/12

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

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

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:

who loves beetle juice

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Answer:

i literally just finished watching it lol

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Step-by-step explanation:

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

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so the range value is 4.5

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

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= 28 ÷ 4 / 32 ÷ 4

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Beverly = 42 : 48 = 42/48

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= 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:

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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.

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.

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:

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

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x=x

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Example : If x=4

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

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

12 cups equal:
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Answers

Answer:

6 pints

Step-by-step explanation:

I just asked Alexa

6 pints

12 cups equals 6 pints

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Answers

Answer:

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Step-by-step explanation: hope this helps

Answer:

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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
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Answers

C 6.25 litres as 50/8 = 6.25

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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

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Answers

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Answers

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

Answer:

-45

Step-by-step explanation:

Sum of two integers = -30

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First to awnser will the question correct will get brainlyist
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Answers

Answer:

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Step-by-step explanation:

i know this one by doing a long math formula

Answer:

49.0%

Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answer:

4

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3n+6=54-9n

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Answers

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Step-by-step explanation:

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