Find the 20th term of the sequence.

1600, 1200, 900, ...

Answers

Answer 1

First approach :

The above series can be seen as

1600 , (1600–400) 1200, (1200–300) 900 .

So we see that the values are getting decreased by 400,300 respectively.

Hence the next term in the sequence will be 900–200 = 700.

Other approach could be :

A geometric progression with ratio as 3/4.

1600*(3/4) = 1200

1200*(3/4) = 900

900*(3/4) = 675

Taking the above two approaches in mind,the two possible answers could be 700 or 675

Um- here ya go

Answer 2

The 20th term of the sequence.

1600, 1200, 900, ..., is 6.76.

What is a geometric sequence?

A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios.

aₙ=a₁(r)ⁿ⁻¹

Given:

A geometric sequence,

1600, 1200, 900, ...

To find the common ratio:

take the ratio of successive terms

r = The value of the second term / the value of the first term

r = 1200/1600 = 0.75.

The explicit formula of a geometric sequence is,

aₙ=a₁(r)ⁿ⁻¹

aₙ= 1600(0.75)ⁿ⁻¹

a₂₀ = 1600(0.75)¹⁹

a₂₀ = 6.76

Therefore, the 20th term is 6.76.

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Related Questions

Is 3.13 greater than 3.12

Answers

Answer:

yes

Step-by-step explanation:

if we figure out the difference between the two numbers by subtracting one from the other, if the product comes out positive, then the number you subtracted from is greater, if the product comes up negative, then the number you subtracted from is lesser

say we did 3.13 as our first number

3.13 - 3.12 = 0.01

this means that 3.13 is greater by 0.01, if we switch the two numbers however...

3.12 - 3.13 = -0.01

then that means that 3.12 is lesser by 0.01

i hope this makes sence, working with decimals may get tricky sometimes lol

Yes, 3.13 is greater than 3.12.

What is decimal?

A decimal number is a number in which whole number part is separated from a decimal.

How to find greater number?

We have been given two numbers 3.13 and 3.12 and we have to find the greater number from these two numbers. When two numbers are in decimal then firstly we have to see the digit before the decimal, the number having large digit becomes large. If the digit before decimal is same in both numbers then we have to see whether the first digit after the decimal is greater or not. If this digit is also same then we will move towards left and so on.

In the numbers 3.12 and 3.13, 3 which is second digit after decimal is greater than 2. So 3.13 is greater than 3.12.

Hence 3.13 is greater than 3.12.

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A carpenter can make at most 20 tables and at most 30 chairs per day. Each
table requires 3 hours of labour and each chair 2 hours of labour. The maximum
total of hours of labour that the carpenter has at his disposal is 96.
a. Give three inequalities that express the conditions above.
b. Graph and shade the common region that satisfies these inequalities.
c. Find the maximum number of chairs and tables that he can make within the
time at his disposal.​

Answers

Answer:Its B

Step-by-step explanation:

THIS IS DUE IN 10 MINUTES!!!

Answers

Yes the Frist question is 15 students

the second question is 5 well I mean if you do it by Khan academy

the third one is well three dozen eggs are cracked, so probably 12?

Can anyone Help me pleasee ?

Answers

Answer:

First one

Step-by-step explanation:

.20 is 20% of 100 and there is 5 boxes and 5 times 20 = 100

Tiara cell phone company charges $3 for 30 text messages how many text messages can a tiara send per dollar if she paid at a steady rate​

Answers

Answer: 10 messages per dollar

Quadrilateral K’ is the image of quadrilateral K under a dilation. What is the center of the dilation?

Answers

Answer: The correct answer is D.

Last week at the park Haeather ran 4 miles in 48 minutes when she runs her next race she Hope's to improve her time by 2 minutes per mile

Last week at the park what was haeather rate of speed in miles per hour ​

Answers

Answer:

Haeather ran at a speed of 5 miles per hour.

Step-by-step explanation:

Given that last week at the park Haeather ran 4 miles in 48 minutes, to determine what was Haeather rate of speed in miles per hour the following mathematical calculation must be performed:

48/4 = 12

Thus, Haeather ran 1 mile every 12 minutes.

60/12 = 5

1 x 5 = 5

Therefore, Haeather ran at a speed of 5 miles per hour.

Find the rule. Solve for n

Answers

Is there more to this question?

Helpppp me prettyyyy please I’m confused

Answers

Answer:

For every 1 vote cast for Candidate D, there were 4 votes for candidate C.

Step-by-step explanation:

Hope this helps! Have a good day!

Answer:

For every 1 vote cast for Candidate D, there were 4 votes cast for Candidate C.

Evaluate this expression for a = 3 and b = 4.
(a + 4)
b 3(8 + 2)
+
b-2
ad
A. 6
B.
9
O C. 11
D.
18
O

Answers

Answer:

The answer should be D

Step-by-step explanation:

I hope this helps

Can someone help me with these questions?!?!?!!? Pleasee!!! Like all of them.?????

Answers

#3 maybe be wrong, sorry if it is

PLEASE HELP ME ASAP I AM BEGGING YOU. NO SPAM ANSWERS. Find the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square. ONLY FIND THE PERIMITER PLZ​

Answers

Answer:

All i have is the area which is 4.5·π cm² + 18 cm² =

Step-by-step explanation:

Answer:

What is the perimeter

Which expression is equivalent to (r -7 6?

Answers

Is that -76 or minis 7 and 6 huh..?.?.?.

54=6b
what is the b
ASAP
HELP PLEASE ​

Answers

Answer:

b is 9

Step-by-step explanation:

okay

please mark me as brainlist and be happy also add me on sñap

arshad2623f

i will be happy <3

Answer:

its 9 this has to be at least 20 characters

If you watch Mine-craft streamers, click this question.

No matter the streamer.

*ahem*

GeorgeNotFound once said,

"Oh, your positioning is soo good...〜"

Answers

stream·er

/ˈstrēmər/

Learn to pronounce

See definitions in:

All

Journalism

Fishing

Angling

Astronomy

noun

a long, narrow strip of material used as a decoration or symbol.

"plastic party streamers"

Similar:

pennant

pennon

flag

banderole

banner

standard

ensign

gonfalon

burgee

ribbon

vexillum

a banner headline in a newspaper.

"his appearance was announced with a streamer headline"

FISHING

a fly with feathers attached.

"a streamer fly"

Heyyy can u guys give me something because I’m out of points and need some thanksssssss

|3v – 91 = -21
Please help! I can't find the solution for this equation

Answers

Answer:

3v=70

divide both side by 3

=70/3 or ~23.33333

Name a fraction equivalent to 0.1

Name a percent equivalent to 0.1

Name a fraction equivalent to 75%

Name a decimal equivalent to 75%

Name a decimal equivalent to 1/5

Name a percent equivalent to 1/5

Answers

Answer:

1/10

10%

3/4

0.75

0.2

20%

Step-by-step explanation:

Answer:

1/10

10%

3/4

.75

.20

20%

Step-by-step explanation:

PLEASE PLEASE!
DUE TODAY!
I need to find x
[calling 10th graders or geometry]
will give brainliest and + points please!

Answers

angles sum: 180(6-2) = 720

50 + 37 + 42 = 129

129 + 5x + 7x - 1 + 3x + 40 = 720

15x + 168 = 720

15x = 552

x = 36.8

check:

129 + 5(36.8) + (3(36.8) + 40) + (7(36.8) - 1) = 720

Correct answer??

180-50 = 130

180-37 = 143

180-42 = 138

Known internal angles:

130 + 143 + 138 = 411

15x + 39 + 411 = 720

15x = 270

x = 18

x = 36.8
I’m sure of it

Find the equation for the line that passes through (4, - 8) that has slope - 2. Give your answer in
point-slope form. You do not need to simplify.

Answers

Answer:

y+8=-2(x-4)

Step-by-step explanation:

point-slope form is y-y1=m(x-x1) where m is the slope, and (x1,y1) is a point.

We are given all of that information:

slope: -2

point: (4,-8)

substitute the numbers into the equation

y--8=-2(x-4)

we can make --8 to positive 8

so:

y+8=-2(x-4)

this is the equation in point-slope form

Hope this helps!

A school club wants to collect at least 500 canned goods for a school food drive. The club has already collected 30 canned goods.

If 10 club members each collect the same number of canned goods, which inequality and graph represent the minimum number of canned goods, n, each club member must collect for the club to meet the goal? (HOW DID YOU GET YOUR ANSWER, PLEASE SHOW ME YOUR WORK!!)


A. 10n+30<500

B. 10n+30≥500

C. 30n+10≤500

D. 30n+10>500

Answers

Answer:

The correct answer is 10n ≥ 470.

Step-by-step explanation:

Since, the school club wants to collect at least 500 canned goods, then we know that they don't want to collect any less: they must collet 500 or more canned goods.

They already collected 30 canned goods, therefore we can subtract this quantity from out goal.

500 - 30 = 470

Since there are 10 club members, the number of members multiplied by "n" the minimum amount of canned goods that they can collect, will equal the total amount of canned goods that they need.

Fyjajrishe wkegeisjahshdhdhrheeejw

Answers

Answer:

vhcgixigcogcohvoycyoccohcistdotxkgclhfottitdtocogd

0162cm

Hope this helps

2) A landscaping company charges $40 to mow a lawn and $15 per hour to mulch the flower beds. Write an equation to represent the amount paid to the landscaping, A, to mow the lawn and mulch the flower beds for H hours.
5 points
A = 15 + 40H
A = 55H
A = 40 + 15H
A = 15H - 40

Answers

Ryjkgddssgyikggddsdd

LEXI BOUGHT A NEW CAR. SHE DROVE 33 MILES IN THE FIRST
MONTH THAT SHE OWNED THE CAR AND 35 MILES IN THE
SECOND MONTH THAT SHE OWNED THE CAR. HOW MANY




MILES DID LEXI DRIVE IN ALL DYRING THE FIRST TWO
MONTHS THAT SHE OWNED THE CAR?
PLz helP iLL mArK brAinLYesT !*+

Answers

ok so the first month is 33 + second month 35 will equal 68

An air-conditioning repair technician claims to complete 67% of repairs in under an hour. A random sample of 31
repairs was chosen, and 22 of those were completed in under an hour. Let p = the proportion of the random
sample that were completed in under an hour.
The probability that 71% or more of this technician's repairs were completed in under an hour is 0.317. Does this
result provide convincing evidence against the technician's claim?
Yes, it is expected that 22 of the units at most will be repaired in under an hour.
Yes, the probability of seeing the sample result is so far from what is expected that the probability of it occurring by
chance alone is very unlikely.
No, there is a very small chance of seeing the sample result. It is unlikely to occur by chance alone.
No, the difference between the sample result and what is expected is not extreme enough. The probability of it
occurring by chance alone is not unlikely.

Answers

Answer:

D No, the difference between the sample result and what is expected is not extreme enough. The probability of it occurring by chance alone is not unlikely.

Step-by-step explanation:

Got it right on unit test review

The probability of it occurring by chance alone is not unlikely.

We have given that,

An air-conditioning repair technician claims to complete 67% of repairs in under an hour. A random sample of 31.

repairs was chosen, and 22 of those were completed in under an hour. Let p = the proportion of the random.

The sample was completed in under an hour.

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

The probability that 71% or more of this technician's repairs were completed in under an hour is 0.317.

D No, the difference between the sample result and what is expected is not extreme enough. The probability of it occurring by chance alone is not unlikely.

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The average annual per capita consumption of fuel, in gallons, for a forty-year period is shown.
Year
0 5 10 15 20 25 30 35 40
Fuel Consumed (gallons) 654 711 712 675 619 563 527 527 584
What polynomial models these data?
G(a) = 1.50x2 + 18.31x + 654.01
O G(x) = 0.025x3 - 1.50x? + 18.31x + 654.01
G(x) = 0.02523 + 654.01
O G(x) = 0.0252 + 18.31x + 654.01

Answers

Answer:

O G(x) = 0.025x3 - 1.50x? + 18.31x + 654.01

Step-by-step explanation:

Similar figures have _____________ sides and ___________ angles.

Answers

Answer:

same, equal measure

Hope it helps

Please mark me as brainliest

Thank you

(10 A person flying a kite has released
123 ft of string. The string makes an
angle of 21 degrees with the ground. How high
is the kite ?

Answers

Answer:

The kite is about 44.1 feet high.

Step-by-step explanation

Since you are trying to find the height, you would draw a triangle to diagram which sides you need to use. The 123 ft of string would be the hypotenuse of the triangle while the 21 degrees is the theta. You are trying to find the height and from the theta that would be the opposite side so you would use sine because you are using opposite and hypotenuse.

sin21=x/123

You have sin of 21 because that is the angle measure, then opposite over hypotenuse which is x/123.

You then multiply both sides by 123 to get the variable of x alone on one side.

123sin21=x

Then just plug this into your calculator and round to the nearest tenth and you get 44.1 feet.

Hope this helped explain how to do these problems, I had trouble doing them awhile back in Algebra 2 so hope this helped out a little.

HELP ASAP! WILL GIVE BRAINLIEST IF CORRECT!! Find the length of AB.

Answers

Answer:

A, about 9.4 units

Step-by-step explanation:

Answer:

A. About 9.4 units

Step-by-step explanation:

Drag and drop the correct answer

Answers

Answer:

Axis of symmetry: [tex]-\frac{3}{7}[/tex]

The y-intercept: y= (0, -8)

The vertex is: [tex]( -\frac{3}{7} , -\frac{65}{7} )[/tex]

Step-by-step explanation:

My work is shown in the images... :)

I hope I helped, and I always appreciate brainliest!!!  :)

Nadia correctly answered 32 questions correct out of 40. What percent correct did she answer correctly?​

Answers

Answer:

She answered 90% correctly

Answer:

80%

Step-by-step explanation:

divide 32 by 40 to get 0.8 or 80%

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