Decide if the sequence is arithmetic, geomtric, or neither. After you determine the type of sequence find the term given below. 2, 8, 32, 128 . . . Find a subscript 10 space

Answers

Answer 1

Answer:

Geometric sequence

[tex]a_{10} = 524288[/tex]

Step-by-step explanation:

Given

[tex]a: 2,8,32,128...[/tex]

Solving (1): The type of sequence

To check for arithmetic sequence:

[tex]d = a_2 - a_1[/tex] --- common difference

[tex]d = 8 - 2 = 6[/tex]

[tex]d =a_3 - a_2[/tex]

[tex]d =32-8=24[/tex]

Both values of d are not the same; Hence, the sequence is not arithmetic

To check for geometric sequence:

[tex]r = \frac{a_2}{a_1}[/tex] --- common ratio

[tex]r = \frac{8}{2}=4[/tex]

[tex]r = \frac{a_3}{a_2}[/tex]

[tex]r = \frac{32}{8} = 4[/tex]

[tex]r = \frac{a_4}{a_3}[/tex]

[tex]r = \frac{128}{32} = 4[/tex]

All values of r are the same.

Hence, it is a geometric sequence

Solving (2): Find [tex]a_{10[/tex]

For a geometric sequence;

[tex]a_n = a_1 * r^{n-1[/tex]

[tex]a_{10} = 2 * 4^{10-1[/tex]

[tex]a_{10} = 2 * 4^9[/tex]

[tex]a_{10} = 524288[/tex]


Related Questions

Solve for x
A.3/4
B.52/7
C.17
D. 52/3

Answers

Answer:

at the picture or the a b c d ?

2.Use the digits given below to make the largest possible number
without repetition off digits. .Then round off nearest ten, hundred and
thousand
a) 2, 5,4 , 3, 6, 7

b) 0 ,9, 8, 7 ,6, 4

Answers

Answer:

1)765432

Nearest ten: 765430

Nearest hundred: 765400

Nearest thousand: 765000

2) 987640

Nearest ten: 987640

Nearest hundred: 987600

Nearest thousand: 988000

Not sure if this is what you want.

I'M GIVING BRAINLIEST TO WHOEVER ANSWERS ALL OF THE QUESTIONS CORRECTLY! PLEASE HURRY! :D

Answers

Answer:

Step-by-step explanation:

8. 7.5 Goes up by 2.5.

9. 7.3 Goes down by 2.1

10. 116/3

Answer:

8- 7.5

9-7.3

10-38 [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

i really need help I am being timed

Answers

Answer:

17.5

I hope this helped :)

Answer:

17.5

Step-by-step explanation:

Complete the table (100 points)

Answers

Answer:

see image

Step-by-step explanation:

You are multiplying x² - 4x + 4 and 6x + 3.

This is set up like:

6x + 3(x² - 4x + 4)

To solve this, we want to multiply each term that is outside of the parentheses with each term that is inside of the parentheses.

Let's start with 6x.

6x • x² = 6x³

6x • -4x = -24x²

6x • 4 = 24x

These numbers will be in the first blank row.

Now, let's move onto 3.

3 • x² = 3x²

3 • -4x = -12x

3 • 4 = 12

These numbers will be in the second blank row.

Now let's write all these numbers together.

6x³ - 24x² + 24x + 3x² - 12x + 12

Combine like terms, pay attention to the exponent.

6x³ - 21x² + 12x + 12

Refer to the completed table below.

Hope this helps!

6x^3 - 21x^2 + 12x + 12
3(2x+1)(x-2)(x-2)

pls help me with this math​

Answers

Answer: C

Step-by-step explanation:

What is the GCF for 4x^2yz^3 and 12xz^2

Answers

Answer:

The great common factor is:

x(2z)²

Steps:

given:

4x²yz³12xz²

4x²yz³ = 2²x²z²yz

4x²yz³ = x(2z)²xyz

---------------------------------

12xz² = 4×3xz²

12xz² = 2²3xz²

12xz² = x(2z)²3

The great common factor is: x(2z)²

Answer:

4xz^2.

Step-by-step explanation:

GCF of 4 and 12 is 4

GCF of x^2 and x is x.

GCF of z^3 and z^2 is z^2.

The volume of the cylinder is 225(pi) cm³. What is the height of
the cylinder?
(A) 6.25 cm
(B) 25 cm
(C) 37.5 cm
(D) 75 cm

Answers

Answer:

it's 25 cm

Step-by-step explanation:

Volume = 225π

or πr²h= 225π

or r²h= 225

or h= 225/r²

here diameter d = 6cm so radius r=d/2 = 3cm

or h= 225/3²

hence h= 25cm

Having a wife is monogamy. Having two wives is bigotry. Having three wives is ______________.

Answers

Answer:

polygamy

Step-by-step explanation:

Answer:

polygamy :)

Explanation:

Pls help me i will give u brainlist

Answers

Answer:

y  < or= -3/2

Step-by-step explanation:

Answer:

< or= -3/2

Step-by-step explanation:

Answer this question to get marked as brainliest!!!!

Answers

Answer:

Diameter is the second option

Radius is the first option

Circumference is the third option

Area is the sixth option.

Step-by-step explanation:

Diameter is the distance between two circles from one end to another.

Radius is from the center to any part of the circle

To find cirumfrnce it’s diameter*π

To find area is πr^2 or in this case π*radius*radius

reflect the triangle in the mirror line

Answers

Answer:

correct me if im wrong bb

PLS HELP WITH THIS I NEED A GOOD GRADE

Answers

Step-by-step explanation:

4.5 approximately is the answer.

15. Ethan planted sunflowers in different types of soil and measured their growth each week.
Plant 1 started at a height of 10 inches and grew 10 inches per week. Plant 2 started at a
height of 18 inches and grew 8 inches per week. Ethan wants to predict the number of weeks
it will take for the plants to reach the same height.
Ethan concludes that the plants will reach the same height after 50 weeks. Is Ethan correct?
Explain why or why not.

Answers

Answer:

He is not correct

Step-by-step explanation:

10 x 50 = 500

500 + 10 = 510

510 represents plant 1 height after 50 weeks

8 x 50 = 400

400 + 18 = 418

418 represents plant 2 after 50 weeks

they're not the same height

Answer: No he is not correct

Step-by-step explanation:

plant 1 will be taller than plant 2 at 50 weeks

do 50 times 10 = 500in

do 50 times 8 = 400in

Find the perimeter and area of the shape.

Answers

Answer:

The perimeter is 41

Step-by-step explanation:

The perimeter of a shape is just the sum of all its sides added up. In this case, that would mean the perimeter is:

12 + 9 + 9 + 4.6 + 6.4  = P30 + 11 = P41 = P

Hope this helps!

The answer to the question is 41

The sides of a right triangle are used to construct three squares, as shown below. The number of square units, representing area, is shown in two of the squares. A represents the area of the largest square.

Answers

1. We know that the distance formula will be be d=√((x_2-x_1)²+(y_2-y_1)²), then we can do x2-x1=3. Y2-Y1=5. 3x3+5x5=34, the square root of 34 is around 5.83. The answer is F.

The person with that spam is rude and wasted your time, sorry for that.

The solution is Option D.

The area of the square with the side having the hypotenuse of the triangle as the side is 34 units²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the area of the square A be = S

Let the triangle be represented as ΔABC

The base of the triangle BC = 5 units

The height of the triangle AB = 3 units

So , the hypotenuse of the triangle AC = Side of the square A

And , from the Pythagoras theorem

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the values in the equation , we get

AC² = AB² + BC²

AC² = 5² + 3²

AC² = 25 + 9

AC² = 34 units²

AC² = Area of the square A with side AC

Therefore , the value of S is 34 units²

Hence , The area of the square with the side having the hypotenuse of the triangle as the side is 34 units²

To learn more about triangles click :

https://brainly.com/question/16739377

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if y varies inversely as x, and y =35 when x =14, find x when y =15.

Answers

Answer:

[tex]x = 32 \frac{2}{3} [/tex]

Step-by-step explanation:

[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]

Let's find the value of k first.

When y= 35, x= 14,

[tex]35 = \frac{k}{14} [/tex]

k= 14(35)

k= 490

Substitute the value of k into the equation:

[tex]y = \frac{490}{x} [/tex]

When y= 15,

[tex]15 = \frac{490}{x} [/tex]

15x= 490

x= 490 ÷15

[tex]x = 32 \frac{2}{3} [/tex]

this please I fricking can't understand the question
.............​

Answers

Answer:

sorry i don't know

Step-by-step explanation:

Simplify: –3(y + 2)2 – 5 + 6y

What is the simplified product in standard form?

y2 +
y +

Answers

- 17 woule be the correct answer for the equation being simplified

Answer:

For edge

Step-by-step explanation:

The first one is -3

The second one is -6

The last one is -17

Can anyone answer this?​

Answers

Step-by-step explanation:

a) First we will convert 150km/hr to m/s.

[tex] \frac{150km}{1hr} = \frac{(150 \times 1000)m}{(1 \times 60)s} \\ = \frac{150000m}{60s} \\ = 2500m \: per \: second[/tex]

=2500m/s, which is the initial speed of the plane.

b)Final Speed of plane = Speed when it stopped.

= 0m/s.

c)Time taken to stop = 3 seconds.

d)Using the kinematic equation,

v = u + at,

where v = Final Speed = 0m/s

u = Initial Speed = 2500m/s

a = acceleration

t = time taken = 3 seconds

Substitute v, u and t to find a.

[tex]0 = 2500 + 3a \\ 3a = - 2500 \\ a = - 2500 \div 3 \\ = - 833 \frac{1}{3} \frac{m}{ {s}^{2} } [/tex]

Write a linear equation in slope intercept form using the given point and slope.
(6,-6); slope = 2/3

Answers

Answer:

2/3x-10

Step-by-step explanation:

y=mx+b

y=2/3x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(6,-6). When x of the line is 6, y of the line must be -6.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 2/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (6,-6).

So, why not plug in for x the number 6 and for y the number -6? This will allow us to solve for b for the particular line that passes through the point you gave!.

(6,-6). y=mx+b or -6=2/3 × 6+b, or solving for b: b=-6-(2/3)(6). b=-10.

so, y=2/3x-10

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Answers

Answer:

-8/6 is equivalent to the -8.(1/6).

Step-by-step explanation:

third an forth options are correct

[tex] - \frac{1}{6} \times 8[/tex]

[tex] - \frac{8}{6} [/tex]

PLEASE HELP!!! I WILL RATE YOU BRAINLIEST
The first laptop ever was sold was the Osborne 1. It came onto the market in 1981, and it had a mass of 11 kg. Suppose that since 1981 the mass of laptops has decreased at an average rate of 4.7% per year. What was the approximate weight of a laptop in 2019?

a. 6.43 kg
b. 8.10 kg
c. 4.62 kg
d. 1.76 kg

Answers

Answer: (d)- 1.76 kg

Step-by-step explanation:

Given

The first laptop mass was 11 kg

The rate of mass decreases by 4.7% per year

In 1982, it was

[tex]\Rightarrow 11-11\times 4.7\%=11-11\times 0.047\\\Rightarrow 11(1-0.047)\ kg[/tex]

In 1983, it was

[tex]\Rightarrow 11(1-0.047)-11(1-0.047)\times 0.047=11(1-0.047)^2[/tex]

In 2019 i.e. after 38 years, it is

[tex]\Rightarrow 11(1-0.047)^38=11\times 0.953^{38}=1.76\ kg[/tex]

A box contains 3 pens, 2 markers, and 1 highlighter. Tara selects one item at random and does not return it to the box. She then selects a second item at random. What is the probability that Tara selects 1 pen and then 1 marker?

Answers

Answer:

1/5

Step-by-step explanation:

There are a total of 6 items in the beginning. In the first selection, there is a 3/6 chance that she selects a pen. Since she does not return it to the box, there are 5 items left. The possibility to select a marker is 2/5. Simply multiply the two fractions. You will get 1/5.

solve the equation b - 7 - 6 = 15 + 5b

Answers

Answer:

b = -7

Step-by-step explanation:

b - 7 - 6 = 15 + 5b

b - 13 = 15 + 5b

4b = -28

b = -7

Please help.
Is algebra.

Answers

The answer for question 4 is C and the answer for question 5 is D.

A kite is flying at angle of elevation of 25 degrees. If the string length is 111 feet.
What is the height of the kite? Draw a diagram

Answers

Answer:

yup

Step-by-step explanation:

please help


will mark brainlist

Answers

ANSWER:

J:

(5,-10)

K:

(15,-6)

L:

(15,-15)

What unlisted said is true

1. the area of a circle is 132.7 square inches. find the radius. round to the nearest tenth

2. in terms of pi, find the area of a 120 degree sector in a circle with a 6m radius

Answers

Answer:

no ):(

Step-by-step explanation:

Answer:

1. r ≈ 6.5in

2. 132

Step-by-step explanation:

1. A=πr2

Solving for r

r=A

π=132.7

π≈6.49921 in

2. = 120°/ 360° x 22/7 x 6²

= 1/3 x 22/7 x 6 x 6

= 22 x 6 x 6 / 7 x 3

= 22 x 6

= 462

5. Find the value of x. Enter the numeric value only. Round your answer to 10 point
the nearest hundredth.

Answers

I think you do 20(20+x)=31(31+x). Basically you need to set up a proportion
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