Which sequence shows a pattern where each term is 1.5 times the previous term?
–4, 6, –9, 13.5, …
10, 15, 25, 40, …
98, 99.5, 101, 102.5 …
–200, –300, –450, –675, …

Answers

Answer 1

Answer:

-200, -300, -450, -675

Answer 2

The geometric sequence which shows a pattern in which each term is 1.5 times the previous term is A = -200 , -300 , -450 , -675 ...

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the geometric progression be represented as A

Now , the value of A is

A = -200 , -300 , -450 , -675 ...

The common ratio of the GP = second term / first term

On simplifying , we get

r = -300 / -200

r = 3/2

r = 1.5

Therefore , each term is 1.5 times the previous term

Hence , the GP is solved

To learn more about geometric progression click :

https://brainly.com/question/1522572

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Related Questions

Help please fast please

Answers

Answer:

<

Step-by-step explanation:

89835000000*10^-7 = 8983.5

8.9835*10^5= 898350

8983.5 < 898350

Answer:

<

Step-by-step explanation:

Simplify each of the numbers

89835000000 x 10^-7 = 8983.5

8.9835 x 10^5 = 89835

89835000000 x 10^-7 < 8.9835 x 10^5

pls help help me need help!!

Answers

Answer:

|-30| + |25|

Step-by-step explanation:

The helicopter is 25 ft above the ledge. The stunt actor is 30 below the edge. The distance from the helicopter to the stunt actor is the sum of the two distances, 25 + 30 = 55 ft. The correct expression must equal 55.

A. |-30| + |25| = 30 + 25 = 55

B. -30 - 25 = -55

C. -30 + 25 = -5

D. |-30| - |25| = 30 - 25 = 5

The correct expression is |-30| + |25| since it it the only expression that equals 55.

I’ll fine you brainlist if you answer please answer it’s URGENT

Answers

Answer:

6, 0, 10

B

Step-by-step explanation:

Plug in the values of x into the equation to find the y coordinate. Then match the coordinates in the table to the graph.

John received 3 detentions in the fourth quarter. He received 4 other
detentions for 1st and 2nd quarters combined. He received 12 for the
whole school year so how many detentions did he receive in the 3rd
quarter?

Answers

Answer:

5

Step-by-step explanation:

12 - (3+4)

12 - 7

12 - 7 = 5

5

Answer:

5

Step-by-step explanation:

12 - (3 + 4)

12 - 7

12 - 7 = 5

The accompanying stem-and-leaf plot represents Kiko's test scores this year. What is the median score for this set of data?

Answers

Answer: 80

Write down all the values and cross out until you get to the middle, since there are 2 values, find the mean, which would be 80

Find the sum of the first 31 terms of the following series, to the nearest integer. 5 , 14 , 23 , . . .

Answers

Answer:

Step-by-step explanation:

a1 = 5

common difference = 2nd term - 1st term= 14 -5 = 9

n = 31

[tex]S_{n}=\frac{n}{2}[2a+(n-1)d]\\\\S_{31}=\frac{31}{2}[2*5+30*9]\\\\=\frac{31}{2}[10+270]\\\\=\frac{31}{2}*280\\\\=31*140\\\\=4340[/tex]

Answer:

i took the tests and the answer is d

In the equation, y = -4x + 10, what are the slope (m) and y-intercept (b)?

a. m = -4, b = -10
b. m = -4, b = 10
c. m = 10, b = -4
d. m = 10, b = 4

Answers

Answer:

Its B

Step-by-step explanation:

the y interceot is +10 so it is positie 10 and the slope is -4 so it is negative 4

square root of 36x² if x is less than or equal to 0​

Answers

Answer:

342x I believe

Step-by-step explanation:

I have gotten my answer by dividing 36 and 2 and got 18 then 18 x 18 and got 342x (I am not sure if I am correct so do not blame me sir or miss).

Find the number that makes the ratio equivalent to 2:3.

6: ___

Answers

Answer:

Step-by-step explanation:

2:3  = 6: ___

[tex]\frac{2*3}{3*3}=\frac{6}{9}[/tex]

2:3 = 6 :_9___

Answer:2:3=6:9

Step-by-step explanation:

2×3/3×3=6/9

2:3=6:9 !!!!!!!!

b) y and z are whole numbers.
y < 70
Z<60
Work out the largest possible value of y + z

Answers

Could it possibly be that
Y=69
Z=59
Therefore 69+59=128

In triangle ABC, a=7, b=3 and cos C = 1/2. The value of c is
1. Sqrt 8
2. Sqrt 37
3. Sqrt 27
4. 4

Answers

Answer:

Correct option: 2 -> sqrt(37)

Step-by-step explanation:

To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.

The equation of the law of cosines is:

c^2 = a^2 + b^2 - 2 * a * b * cos(C)

So, we have that:

c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)

c^2 = 49 + 9 - 21

c^2 = 37

c = sqrt(37)

Correct option: 2

Help me ASAP please, I really want to finish this

Answers

Answer:

C. 1.5 ft

Step-by-step explanation:

Using the Pythagorean theorem:

[tex]x=\sqrt{3.9^2-3.6^2}=\sqrt{15.21-12.96}=\sqrt{2.25}=1.5[/tex]

Hope this helps!

I agree with the answer above it's 1.5 ft which is C.

:D

Solve for x. 9x=3x−3

Answers

Answer:

x=-1/2

Step-by-step explanation:

9X = 3X + -3

Reorder the terms:

9X = -3 + 3X

Solving

9X = -3 + 3X

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-3X' to each side of the equation.

9X + -3X = -3 + 3X + -3X

Combine like terms: 9X + -3X = 6X

6X = -3 + 3X + -3X

Combine like terms: 3X + -3X = 0

6X = -3 + 0

6X = -3

Divide each side by '6'.

X = -0.5

Answer:

x = -0.5

Step-by-step explanation:

In an equation, the goal is the isolate the variable. We do this by undoing the operations done to result in the given equation.

Step 1: Subtract 3x

6x = -3

Step 2: Divide by 6

-0.5

Step 3: Check

9(-0.5) = 3(-0.5) - 3

-4.5 = -4.5 ✅

I'm always happy to help :)

will mark bianleast
Find the mean of the data in this set.



9.4

6

8.5

8

Answers

Answer:

The mean is 7.975.

Step-by-step explanation:

Answer:

The correct answer is  9.4, Hope this helps!

Step-by-step explanation:

I took the test and this was the correct answer!

WILL GIVE BRAINLIEST AND 30 POINTS! Peter calculated |5 + 13i| by finding Where was Petey’s mistake? He should not have used the Pythagorean theorem. He should have used 13 instead of 13i. (13i)2 = 169, not –169.

Answers

Answer: He should have used 13 instead of 13i

Step-by-step explanation:

Answer:

He should have used 13 instead of 13i

Step-by-step explanation:

The perimeter of a rectangle field is 48 yards. The length is 6 yards more than the width. Find the length and width of the rectangle field.

A. Length = 10 yards; width = 4 yards
B. Length = 11 yards; width = 5 yards
C. Length = 15 yards; width = 9 yards
D. Length = 9 yards; width = 3 yards

Answers

Answer:

C. Length = 15 yards; width = 9 yards

Step-by-step explanation:

When you multiply the length and width by two and add them together, this answer is the only one that results in 48.

Wrong answers only

what is 1+1

Answers

Answer:

Real answer is 2

Fake answers are

11

or

Window

:)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

The snack that smiles back ℎ.

list the first 3 terms, then evaluate

Answers

Answer:

[tex]\sum\limits_{i=1}^{10}(1-2i)=-100[/tex].

Step-by-step explanation:

The given expression is

[tex]\sum\limits_{i=1}^{10}(1-2i)[/tex]

We need to find first 3 terms, then we have evaluate the value.

Here,  

[tex]a_i=1-2i[/tex]

For i=1,

[tex]a_1=1-2(1)=1-2=-1[/tex]

For i=2,

[tex]a_2=1-2(2)=1-4=-3[/tex]

For i=3,

[tex]a_3=1-2(3)=1-6=-5[/tex]

So first three terms are -1,-3,-5. It is an AP with first term -1 and common difference -2. So, next 7 terms are -7,-9,-11,-13,-15,-17,-19.

Now,  

[tex]\sum\limits_{i=1}^{10}(1-2i)=(-1)+(-3)+(-5)+(-7)+(-9)+(-11)+(-13)+(-15)+(-17)+(-19)[/tex]

[tex]\sum\limits_{i=1}^{10}(1-2i)=-100[/tex]

Therefore, the value of [tex]\sum\limits_{i=1}^{10}(1-2i)[/tex] is -100.

D= 90* AC=17 cm AD=10 cm CD=?cm

please in need help in this

Answers

Answer:

Step-by-step explanation:Idon't say u must have ro mark my ans as brainliest but if u think it has really helped u plz don't forget to thank me....

Answer:

CD=

[tex] \sqrt{189} [/tex]

Step-by-step explanation:

using phaythagorous theorem

CD^2+10^2=17^2

CD^2= 17^2-10^2

CD^2=289-100

CD^2=189

CD=

[tex] \sqrt{189} [/tex]

what is the length of the hypotenuse of a triangle with legs of 8 and 19?

a. 17.2
b. 20.6
c. 297
d. 425

Answers

Answer:

B

Step-by-step explanation:

Write the quadratic function f(x) = 3(x + 1)(x – 7) in standard form.

A)

f(x) = x2 – 18x – 21


B)

f(x) = 3x2 – 18x – 21


C)

f(x) = x2 – 6x – 7


D)

f(x) = 3x2 – 6x – 7

Answers

Answer:

B

Step-by-step explanation:

Given

f(x) = 3(x + 1)(x - 7) ← expand the factors using FOIL

     = 3(x² - 6x - 7) ← distribute the parenthesis

      = 3x² - 18x - 21 → B

Which expression is equivalent to 121 - x^2​

Answers

Answer:

(11-x)x(11+x)

Step-by-step explanation:

-(x^2–121)
-(x^2-11^2)
X^2-y^2
(X+y)(x-y)
-(x+11)(x-11)

HELLPPPP PLEASE ASAP WILL MARK BRAINLIEST!! PLEASW AND THANK YOUUU!!!

Answers

1. It is the product of a square, meaning it can be simplified to (x+10)(x+10) or (x+10)^2

The answer is here

The circumference of a standard centre circle on a football pitch is
57.43m. What is its radius?

Answers

Answer:

9.14 m

Step-by-step explanation:

r=C

2π=57.43

2·π≈9.14027

____________________________

Solution,

Circumference of circle=57.43m

Radius=?

Now,

Circumference of circle=2 pi r

or,57.43=2*3.14*r

or,57.43=6.28*r

or,r=57.43/6.28

r=9.14 m

It's radius is 9.14m

Hope it helps

Good luck on your assignment

___________________________

Write the slope-intercept form of the equation. 2y+5x=–1

Answers

Answer:

y=-5/2x-1/2

Step-by-step explanation:

HOPE THIS HELPS:)

STAY SAFE:)


Find the coordinate of point X inside segment BE that is 3/4 the
distance from B to E.​

Answers

Answer:

i really dont know

Step-by-step explanation:

this is confusing

-3x^2+6x+9=
WHY JUST WHY !!!! ?

Answers

Oh, my, goodness!!!!!! :)

You are cracking me up so much right now!!!!! :)

But, yeah, I hear ya! :)

Answer:

[tex]=-3\left(x+1\right)\left(x-3\right)[/tex]

Step-by-step explanation:

[tex]-3x^2+6x+9\\\mathrm{Factor\:out\:common\:term\:}-3:\quad -3\left(x^2-2x-3\right)\\-3x^2+6x+9\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\\mathrm{Rewrite\:}6\mathrm{\:as\:}3\cdot \:2\\=-3x^2+3\cdot \:2x+3\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(x^2-2x-3\right)\\\mathrm{Factor}\:x^2-2x-3:\quad \left(x+1\right)\left(x-3\right)\\x^2-2x-3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+x\right)+\left(-3x-3\right)[/tex]

[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+x\mathrm{:\quad }x\left(x+1\right)\\x^2+x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=xx+x\\\mathrm{Factor\:out\:common\:term\:}x\\=x\left(x+1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-3x-3\mathrm{:\quad }-3\left(x+1\right)\\-3x-3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(x+1\right)\\=x\left(x+1\right)-3\left(x+1\right)\\\mathrm{Factor\:out\:common\:term\:}x+1\\=\left(x+1\right)\left(x-3\right)[/tex]

[tex]=-3\left(x+1\right)\left(x-3\right)[/tex]

if i were to save 10 dollars each 2 weeks how much will i have in 2 months

Answers

Answer:

I think the answer is 40.5

Step-by-step explanation: Because there are 4 and a half weeks in a month..... at the least. I may be wrong, just took a lucky guess. dont take my word for it.

answer: 87
because there’s 4.35 weeks in a month so 2 months would be 8.7 weeks so 8.7 weeks times 10 is 87

work out the surface area of the shapes in the attached file

Answers

Answer:

Find the area of every shape

12 x 9 = 108. Don't divide because there is two

12 x 14 = 168

14 x 9 = 126

15 x 14 = 210

108 + 168 + 126 + 210 = 612

____________________

2 x pi x radius x height + 2 x radius x radius x height

466.5

Step-by-step explanation:

A 16-inch diameter (8-inch radius) car tire is one of the most popular sizes for today's car Find the number of revolutions made by a tire with a radius of 8
inches that travels 5,280 feet (or 1 mile). Use 3.14 for T. Round your answer to the nearest tenth of a revolution. (Hint: Be sure to use the same unit of
measurement.)

none of these

260.9 revolutions

8.8 revolutions

1261.3 revolutions

Answers

Answer:

1261.3 rev

Step-by-step explanation:

Circumference of tire: 3.14(4/3)

4.187 ft.

5280/4.187

1261.3

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