6th term 25,75,225,675,.... is it arithmetic or geometric. what's the explicit equation and the given term​

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{75}{25}[/tex] = 3

[tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{225}{75}[/tex] = 3

[tex]\frac{a_{4} }{a_{3} }[/tex] = [tex]\frac{675}{225}[/tex] = 3

This indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex]  = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 25 and r = 3 , then

a₆ = 25 × [tex]3^{5}[/tex] = 25 × 243 = 6075


Related Questions

3x-6=7x-3
3. 6
please help!!!!!!!

Answers

Answer:

B. -9

Step-by-step explanation:

3(-9)-6/3=-11

7(-9)-3/6=-11

Jamie is helping out in the school library. He needs to figure out how many shelves the library staff should order for a new reading corner. There are 378 books for the reading corner. Each shelf holds 50 books. The librarian wants to put all the books on shelves. How many shelves should the library order?

Answers

Answer:

8 shelves

Step-by-step explanation:

First do 378 divided by 50 then you when you get your answer (with remaining numbers) you add one more book case so 378 divided by 50 is 7 then you have a remainder 28 so add another shelf which is now 8 shelves!

Pls help and show workings
Thank you in advance
Option
A. 7
B. 10
C. 13
D. 22

Answers

Answer:

D

Step-by-step explanation:

rule: sum of two angles in triangle, should always be higher then the other angle: 13+9=22,

it should be bellow 22. it can not be D


Please help me
what is the premiter of the semi circle​

Answers

Answer:

B

Step-by-step explanation:

Martin is helping his mom set up for a school event. His mom put 150 cups into a box. There are 40 red cups, 60 blue cups, and
50 green cups in the box. He randomly picks 90 cups from the box and sets them out on tables.
How many blue cups is he likely to have set out on tables?

Answers

Answer:

C. 36

There are 150 cups total, and 60 blue cups

[tex]150/60=0.4[/tex]

Multiply that by the number of cups he picked up

[tex]0.4*90=36[/tex]

HELP ME ILL MARK YOU BRAINLIEST .....
EXPLAIN YOUR ANSWER PLEASE AND HOW YOU GOT IT..THE STEPS

Answers

Answer:

1. m<rsv is 42 degrees

2.

Step-by-step explanation:

1.

2. Since abc is 95, the two angles you have to solve are going to equal 95 when added because they make up the angle ABC so solving it would be like

(2x+23)+(9x-5)=95 you then solve this which would be

2x+23+9x-5 = 95 - Combine like terms

11x+18=95 Subtract 18 both sides

11x=77 divide by 11

x=7

After this you just put 7 in the equations instead of X and solve it

making angles

can someone help me with 26 and 27?

Answers

Answer:

B

Step-by-step explanation:

Is x=|y| with inputs x=1, x=2, and x=3 a function? Explain

Answers

Answer: This is not a function

======================================================

Explanation:

If x = 1, then,

x = |y|

1 = |y|

|y| = 1

y = plus/minus 1

y = 1 or y = -1

The input x = 1 leads to more than one output y = 1 and y = -1 at the same time.

Similar situations occur with x = 2 and x = 3.

This means we do not have a function. A function can only be possible if each input leads to exactly one output.

I need help with this quick question. PLS

Answers

Step-by-step explanation:

please sorry to barge into your question without any reasonable answer all I want to say is that this is a graph and I think that the domain and range this is increasing to calculate like the unit for example you have - 9 and - 3 you should calculate how many units are between -9 and -2 I'm not sure and I just really need marks now point where I can get on with my procedure so sorry for just barging in like that I'm so sorry

9514 1404 393

Answer:

  x < -5

Step-by-step explanation:

The function is increasing where its slope is positive. That is where each point is higher than the one to its left. You see that is the case for all points to the left of the vertex, which is at x=-5.

The domain where the function is increasing is x < -5.

_____

Additional comment

At the vertex, the function is horizontal, neither increasing nor decreasing. So, the vertex itself is not included in the domains of increase or decrease.

Which pairs are like terms in the expression below? Select all that apply.
Žy + } x-0.25 – 6 +(-2)
Ay and { x
and 1
B. žy and
y and -0.2,
C.
1/3 x
and-0.27
D. -0.2y and 2
E. -6 and -2

Answers

Send a picture I don’t really understand

Mary rounds these numbers to the nearest hundred. Which number does she round to 400? Choose all that apply. A) 351. B) 369 C). 401. D) 413. E) 448

Answers

Answer:

401

Step-by-step explanation:

Jaylen's family has completed 30% of a trip. They have traveled 33 miles. How far is the
trip?
Use a t-chart, double number line diagram, tape diagram or fraction strategy to help.

Answers

Answer:

[tex] \frac{30}{100} = \frac{33}{x} \\ 30x = 3300 \\ x = \frac{3300}{30} = 110[/tex]


????????i don’t understand

Answers

Answer:

to blurry

..............

the area of that square would be 9.

there 2 strawberry ice cream
3 blueberry Ice cream
6 chocolate ice cream
4 ice pops
Select the three different ways to write a ratio comparing the number of Ice Pops to chocolate cone orders Write all ratios in simplest form
A 2 to 3
B 6 to 4
C 2 to 6
D 6 to 3
E 3:2
F 2:3
G 2:6
H 2/3
l 2/6
J 2/3​

Answers

Answer:

A,F,J

Step-by-step explanation:

they are in simplified form and in the correct order

Please help this is a grade

Answers

Answer:

I don't see the answer to the problem

The answer is -2x-6 I believe.

Plot the point (-3,6). Plot the point (4, -5).

Answers

Step-by-step explanation:

Go left 3 and then up 6 then make a dot

Go right 4 thend own 5 then make a dot

I hope this helps

what is the square root of 5 divided by 5 square root of 3?

Answers

Should be 0.77459666924.

Just the first 3 numbers

1.) Determine if the coordinate points represent a function. (1.3). (2.6). (3.9). (4. 12). (5.15

O Function

O Not a Function

O both​

Answers

Answer:

Function

Step-by-step explanation:

These coordinates do represent a function. For a relation to be a function every y-value must have an x-value, this means x's cannot repeat. In this relation x's never repeat, they simply increase by one every time. Therefore, this is a function.

Please help I need it fast

Answers

Answer:

J

Step-by-step explanation:

-11=4(-3)+1

-3 =4(-1)+1

1 =4(0)+1

9 =4(2)+1

13=4(3)+1

21=4(5)+1

Point A is located in which quadrant?
On a coordinate plane, point A is at (negative 3, 5).

Answers

Answer:

answer is D

the point A is located on quadrant IV

Step-by-step explanation:

hope this helps!

5/7-1/2= show work PLZZZZZZZZZZ HELPPPP

Answers

Answer:

3/14

Step-by-step explanation:

We need to line up the fractions. 5/7 on top, 1/2 on the bottom. We need to find common denominator so, 7 x 2 (denominators) gives us 14. 14 is now the denominator we will use. Solve for numerator: Starting at bottom fraction. 2 goes into 14 7 times, 7 times original numerator (1) 35. Theres your new numerator. Now, the top fraction: 7 goes into 14 2 times. 2 x original numerator (5) = 10. Now subtract both numerators (10 - 7 = 3) Plug in the denominator and your answer is: 3/14

I need the answer to this can sb help

Answers

Answer:

yeah i gotchu

Step-by-step explanation:

The answer is b my guy

I need help it’s urgent please I would really appreciate it

Answers

Answer:

The entire race is 26.20 miles long.

Step-by-step explanation:

Given that:

Sam is 18.34 miles in the race.

This length represents the 70% of the entire length of the race.

Let,

x be the total length of the race.

70% of x = 18.34

[tex]\frac{70}{100}x=18.34\\[/tex]

0.7x = 18.34

Dividing both sides by 0.7

[tex]\frac{0.7x}{0.7}=\frac{18.34}{0.7}\\x=26.20[/tex]

Hence,

The entire race is 26.20 miles long.

Helppp pleaseeeeee Brainly

Answers

Answer:

1. 4

2. 16

3. 8

Step-by-step explanation:

1. 4^2 / 2^2

4^2 = 16

2^2 = 4

16/4 = 4

2. (8- 4) x 4

8 - 4 = 4

4 x 4 = 16

3. 2^2 + 2^2

2^2 = 4

2^2 = 4

4 + 4 = 8

Hope I helped!

Answer:

[tex]\frac{4^{2} }{2^{2} } = 4[/tex]

(8 - 4) x 4 = [tex]4^{2}[/tex]

[tex]2^{2} +2^{2}[/tex] = 8

Step-by-step explanation:

[tex]\frac{4^{2} }{2^{2} } = 4[/tex] because [tex]4^{2} = 16[/tex] and [tex]2^{2}[/tex] = 4. 16/4 is the same as 4.

(8 - 4) x 4 = (4) x 4 = 16. This is the same as [tex]4^{2}[/tex].

[tex]2^{2} +2^{2}[/tex] is the same as 4 + 4, which is 8.

Hope it helps!

What shortcut could you use to prove the triangles congruent?
O HL
O SAS
O ASA
SSS
OSSA
CNBD
O AAS

Answers

Answer:

AAS

Step-by-step explanation:

You can see that two angles and one side are congruent.

A plot of land is in the shape of a triangle. Two of the angles measure 48 degrees and 74 degrees. The length of the side between them is 90 m.


a) calculate the perimeter of the plot, to the nearest meter.

b) calculate the area of the plot, to the nearest square meter.

Answers

Answer:

Perimeter = 271 meters

Step-by-step explanation:

third angle measure would have to be 180 - 122 = 58 degrees

you can use the law of sines:

sin 58° = sin 74°

   90           b

.85 = .96

 90       b

cross-multiply:  .85b = 86.4

                          b = 102

now do again to find third side:

sin 58° = sin 48°

   90           c

.85 = .74

 90       c

.85c = 67

c = 79

now you know all 3 sides so add them to get perimeter (79+102+90) = 271

A telemarketer earns a fixed amount for each call that he makes, as shown in
the graph below.


If the telemarketer makes 12 calls, how much will he earn in total?

A. $4.80
B. $9.60
C. $0.80
D. $1.20

Answers

Answer:
B. $9.60
Explanation:
1 call = $0.80
$0.80 x 12 calls = $9.60

Answer:

The answer is $9.60!

Step-by-step explanation:

PLEASE HELP!! GIVING PLENTY OF POINTS AND WILL REPORT THANKS!!!
The question is 1 b
Pia printed 2 maps of a walking trail. The length of the trail on the first map is 8 cm. The length of the trail on the second map is 6 cm.
A landmark on the first map is a triangle with length on the side of 3 mm, 4 mm, and 5 mm. What is the scale factor from the first map to the second map? What are the side lengths of the landmark on the second map? Show your work.
Will mark brainlyest if correct.

Answers

Answer: The scale factor from the first map to the second map is 4:3 (four to three) The side lengths of the landmark on the second map is 9/4 mm, 3 mm, 15/4mm.

Step-by-step explanation:

The scale factor is 8:6 which can be simplified to 4:3.

The side lengths of the landmark on the second map follows the same scale 4:3, so going in order:

4:3 = 3:x

4x = 9

x = 9/4

4:3 = 4:y

y = 3

4:3 = 5: z

4z = 15

z = 15/4

Is the equation 96 ÷ 3 = 72 ÷ 2 true or false?
True
False

Answers

Answer:

false

Step-by-step explanation:

96/3=32

72/2=36

The answer to this equation for 96/3=24
Because if you want to check do 24(3)=96

Now you’re doing 24/2 which equals to 12 also to check do 12(2)=24, therefore this equation is false

please help me with this! Thank youu​

Answers

Answer:

y=-3x+2

y = [tex]\frac{1}{5}[/tex]x - 5

Step-by-step explanation:

Question 1

It is given that;

- one of the lines has an equation of; y = -3x-7

- the given line's y-int is (0, 2) ~(The y-int is when the line crosses the y axis, hence x is zero)

- these two lines are parallel

When two lines are parallel, their slope is the same, hence  the equations of the given line would look like this;

y = -3x + 2

In the slope-intercept format (which is; y = mx + b, where "m" is the slope, and "b" is the y-intercept).

Questions 2

It is given that;

- one of the lines has an equation of y = -5x + 1

- the given line's y-int is (0, -5) ~(The y-int is when the line crosses the y axis, hence x is zero)

- these two lines are perpendicular

When two lines are perpendicular, their slopes are the negatives reciprocal of each other, hence the equations of the given line would look like this;

y = [tex]\frac{1}{5}[/tex]x - 5

In the slope-intercept format (which is; y = mx + b, where "m" is the slope, and "b" is the y-intercept).

Other Questions
5/6 divided by 1/2 simplest from Population density is the number of people per unit of area. The population density of a certain region is 50 people per square kilometer. If the region covers 25 square kilometers, what is the population of the region? why do the other planets take longer to orbit the Sun than the inner planets do 13 POINTS NEED THE ANSWERS TO THESE 2 PROBLEMS Because the Middle East is in between Europe and Asia, they were perfectly situated to be the _____________in trade. The value of n is a distance of 1.5 units from -2 on a number line. Click on the number line to show the possible values of n. -5 - 4 -3 -2 -1 0 1 2 3 4 5 Select the correct text in the passage.Which sentence in this excerpt from Leo Tolstoy's The Death of Ivan Ilyich shows that Ivan Ilyich finally understands the cause of his suffering?Suddenly some force struck him in the chest and side, making it still harder to breathe, and he fell through the hole and there at the bottom was a light. What had happened to him was like the sensation one sometimes experiences in a railway carriage when one thinks one is going backwards while one is really going forwards and suddenly becomes aware of the real direction."Yes, it was not the right thing," he said to himself, "but that's no matter. It can be done. But what is the right thing? he asked himself, and suddenly grew quiet.This occurred at the end of the third day, two hours before his death. Just then his schoolboy son had crept softly in and gone up to the bedside. The dying man was still screaming desperately and waving his arms. His hand fell on the boy's head, and the boy caught it, pressed it to his lips, and began to cry.At that very moment Ivan Ilyich fell through and caught sight of the light, and it was revealed to him that though his life had not been what it should have been, this could still be rectified. He asked himself, "What is the right thing?" and grew still, listening. Then he felt that someone was kissing his hand. He opened his eyes, looked at his son, and felt sorry for him. His wife camp up to him and he glanced at her. She was gazing at him open-mouthed, with undried tears on her nose and cheek and a despairing look on her face. He felt sorry for her too."Yes, I am making them wretched," he thought. "They are sorry, but it will be better for them when I die." He wished to say this but had not the strength to utter it. "Besides, why speak? I must act," he thought. with a look at his wife he indicated his son and said: "Take him away...sorry for him. ..sorry for you too. ..." He tried to add, "Forgive me," but said "Forego" and waved his hand, knowing that He whose understanding mattered would understand.1). What had happened to him was like the sensation one sometimes experiences in a railway carriage when one thinks one is going backwards while one is really going forwards and suddenly becomes aware of the real direction.2)"Yes, it was not the right thing," he said to himself, "but that's no matter. It can be done. But what is the right thing? he asked himself, and suddenly grew quiet.3)At that very moment Ivan Ilyich fell through and caught sight of the light, and it was revealed to him that though his life had not been what it should have been, this could still be rectified.4)" He tried to add, "Forgive me," but said "Forego" and waved his hand, knowing that He whose understanding mattered would understand. PLEASE HELPPPP!!!!!Write a general statement that could be used to determine if other mass extinctions have occurred in Earths history. Explain why your statement would is appropriate. 2-3 Sentences. AP World History !!!Does Buddhism have/had any conflicts with another belief system ? The picture below shows the positions of the Earth, Moon, and Sun during an eclipse.What is true of the eclipse shown in the picture? A. It is a lunar eclipse, in which the Earth casts a shadow on the Moon. B. It is a solar eclipse, in which the Earth casts a shadow on the Moon. C. It is a lunar eclipse, in which the Moon casts a shadow on the Earth. D. It is a solar eclipse, in which the Moon casts a shadow on the Earth. List three examples of activities that increase your chance of contracting a BBP. how long does crushed candy dissolve in a warm water A paint that contains 26 % green dye is mixed with a paint that contains 14 % green dye. How many gallons of each must be used to make 100 gal of paint that is 22 % green dye? Please help this is worth 30 points In a 2-3 sentence response how does the cartoon reflect America's attitude and policy after World War I? Use 2 pieces of evidence from the cartoon to support your claim. Can someone help me ASAP on this science question Why did the Crown pass the so-called Intolerable Acts? The image shows landforms in Monument Valley, Utah.Which correctly lists the three features shown in the photo?folds, strike-slip faults, and anticlinesanticlines, synclines, and foldssynclines, normal faults, and strike-slip faultsnormal faults, folds, and anticlines What is the smallest degree of rotation that will map a regular 15-gon onto itself which country offered their daughter, marie antoinette, to the young french king