Write an equation for the nth term of this sequence: 1/8, 1/4, 1/2, 1..

Answers

Answer 1

Answer:

[tex]a_n=\frac{1}{8} (2^{n-1})[/tex]

Step-by-step explanation:

This is a geometric sequence.  You start with the first term, 1/8, then multiply it by 2 to get 1/4, then double that to get 1/2, etc.

The number you multiply by is called the common ratio.  In this case, the common ratio is 2.

A formula for the general (nth) term is:  [tex]a_n=a_1 r^{n-1}[/tex].

[tex]a_1=1/8\\r=2[/tex]

So the nth term is [tex]a_n=\frac{1}{8} (2^{n-1})[/tex]


Related Questions

Please help me with this please and thank you

Answers

Answer:

Alright so the answer is B but I'll explain why because im nice ig.

Step-by-step explanation:

So lets do some calcumalations.

We'll use 1 as n and should get an output of 3 to check these formulas. Since 1 is the first term and 3 is the first term value makes sense alright.

So 9^1-1 is 0 and any number to the 0 power is 1 so that wont work.

3(4)^1-1 = 3(1); that's the answer

4^1-1 = 1, + 3 = 4 so that wont work either

I hope this helps ya have a great afternoon

HELP WILL MARK BRAINLIST AND 5 STARS

Answers

Answer:

10 feet

Step-by-step explanation:

We are trying to find Madison's height plus Jade's height...

Turn the fractions into improper fractions

So,

5 1/6 = 31/6

4 5/6 = 29/6

31/6 + 29/6 = 10 feet

or

5+4= 10 and 1/6+5/6 = 1

so the answer is 10 feet

PLEASE RATE!! I hope this helps!!!

If you have any questions comment below

Pls help
20 brainly points

a radio mast is supported by 4 cables, each of which is attached to the top of the mast. The depression from the top of the mast to the base of one of the supporting cables is 55 degrees. the height of the mass is 213 metres. work out the length of the cable

Answers

The cable and the mass forms a right triangle

The length of the cable is 260 meters

How to determine the length of the cables?

The given parametes are:

Angle = 55 degrees

Height of the mass (h) = 213 meters

The length of the cable (l) is calculated using the following cosine ratio

cos(90 - θ) = h/l

Substitute known values

cos(90 - 55) = 213/l

cos(35) = 213/l

Make l the subject

l = 213/cos(35)

Evaluate the quotient

l = 260.024987406

Approximate

l = 260

Hence, the length of the cable is 260 meters

Read more about right triangles at:

https://brainly.com/question/2437195

What is the most common amount of hours students spent studying? (2 points)

A line plot with the title, time students spent studying, and the line is measured in hours. The horizontal line goes from one third to three. In between, there are seven tick marks labeled as two thirds, one, one and one third, one and two thirds, two, two and one third, two and two thirds. The tick mark one third has two xs, the tick mark two thirds has one x, the tick mark one has four xs, the tick mark one and one third has three xs, the tick mark one and two thirds has three xs, the tick mark two has five xs, the tick mark two and one third has three xs, the tick mark two and two thirds has two xs, and the tick mark three has two xs.

a
1 hour

b
one and one third hours

c
2 hours

d
3 hours

Answers

the answer is a 1 hour . I just had that question and got it right !!

help me w this question please

Answers

Answer:

2560000 or 2.56*10^6

Step-by-step explanation:

[tex]\frac{((-4)^6)^2*(-5^2)^3}{(-4)^6*(-5)^2}[/tex]

[tex]\frac{(-4)^1^2*(-5^6)}{(-4)^6*(-5)^2}[/tex]

[tex]\frac{16777216*15625}{4096*25}[/tex]

[tex]\frac{262144000000}{102400}[/tex]

[tex]2560000[/tex]

A bedroom door in the house has the same
dimensions as the front door, but the length is
30 inches rather than 36 inches. How much greater is
the volume of the front door than the bedroom door?

Answers

The difference in the volume of bedroom door in the house taken the length and width into consideration will be 120 inches³.

How to calculate the bedroom door?

It should be noted that the volume of a door is simply gotten by multiplying the length by width.

Let's assume that the width is 20 inches. Therefore, the difference will be:

= (36 × 20) - (30 × 20)

= 720 - 600

= 120 inches³

Learn more about volume on:

https://brainly.com/question/12410983

What is 2+2 I think it’s still 2 but I am not sure yet

Answers

Answer:

it actually equals 5

Step-by-step explanation:

the reason it equals 5, is because there are 5 variables in there, so because of the addition sign, it becomes 1+1+1+1+1=5. you cannot prove me wrong.

Answer:

the correct answer is 4

Step-by-step explanation:

2 + 2 = 4

hope this helps

have an awesome day -TJ :)

676 x 122 - 45 + 69
Brainliest to whoever answers first

Answers

82,496
Bc you just do the working

Answer:

82.358

Step-by-step explanation:

You have to use PEMDAS to solve this question. Since M is the first one we have to multiply since M stands for multiplication.


676 • 122 - 45 + 69

82,472 - 45 + 69

Then you add because A is next.

82,472 - 114

Then finish it

82,358


Your answer would be = 82,358


I hope it helps! Have a great day!

Muffin ^^


Find the area of the regular polygon. Give the answer to the nearest tenth.

hexagon with a side of 6 in.

Answers

Answer:

[tex]\displaystyle 93,5\:in.^2 \approx A[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{3\sqrt{3}}{2}a^2 = A \hookrightarrow \frac{3\sqrt{3}}{2}6^2 = A \\ \frac{3\sqrt{3}}{2}[36] = A; 54\sqrt{3}\:[or\:93,530743609...] \\ \\ \boxed{93,5 \approx A}[/tex]

I am joyous to assist you at any time.

Which graph matches? I'll give brainliest. and 100pts

Answers

Function:

[tex]\sf 2\left(3\right)^{x}+2[/tex]

Find y-intercept:

[tex]y=2\left(3\right)^{0}+2[/tex]

[tex]y=\sf 4[/tex]

option B is correct as it cuts y-intercept at 4

Answer:

This is a positive exponential graph with a y-intercept of 4 (when x is 0, y is 4)

Hope this helps!

Can you help me with this

Answers

Answer:

Step-by-step explanation:

For the zeros, c is shows the correct number of zeros -- 7.

But you should note that the answer ought to contain the correct number of sig digs. There are 3. 692 The 2 cannot be dropped. Still your answer is correct.

What is the correct answer?

Answers

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{v = l \times w \times h}[/tex]

[tex] \mathsf \pink{v = 4.4 \times 2.9 \times 1}[/tex]

[tex] \mathsf \purple{v = 12.76 {yd}^{3} }[/tex]

12.76 cubic yards

Please help me I AM BEGGING please

Answers

Answer:

218

Step-by-step explanation:

the triangle is a right angle triangle. Therefore, we can use the Pythagorean thereom.
A^2 + 16^2 = 20^2

A^2 + 256 = 400

400 - 256 = 144

Square root of 144 is 12

Unknown side is 12

Find the area of the triangle:

16 x 12 = 192

192/2 = 96

The area is 96

Now find the area of the circle:

pi x the radius^2

The diameter is 20, so the radius is 10

Pi x 10^2 = 314

314 - 96 = 218

Considering area of circle
A = π x d2/4
A= π x (20^2)/4
= 314.16 m2

Considering the other side of triangle
= √[(20^2)-(16^2)]
= √(400-256)
= √144
= 12 m

Considering area of triangle
A = 1/2 x bh = 1/2 x 16 x 12
A= 96 m2

Area of shaded region
= area[ circle - triangle]
= 314.16 - 96
= 218.16 m2

Answer = 218.16

Congruent vs. Similar Triangles
I really need an explanation on how to do this

Answers

Answer:

Cross multiply

Step-by-step explanation:

A teenager puts $50 into an investment account in January. If by December the balance in the account increases by 17%, what is the amount of money in the account in December?

A.$67.00
B.$58.50
C.$41.50
D.$33.00

Answers

Answer:

58.50

Step-by-step explanation:

C.$58.50

|| ▼ Answer ▼ ||

|| ✪ Solution ✪ ||

Step 1:

In this question, we are given the following:

A teenager puts $50 into an investment account in January.

If by December the balance in the account increases by 17%,

what is the amount of money in the account in December?

Step 2:

In this case, we are going to use:

[tex]Amount=Principal~(~1+\frac{Rate}{100})^{n}[/tex]

Here, Principal = $ [tex]50[/tex]

Rate = 17%

[tex]^{n}(Time)=~From~January~to~December=12=months=1~year[/tex]

Then, we have that:

[tex]Amount=50~(~1+\frac{17}{100})^{1}[/tex]

[tex]Amount=50~(~1+0.17~)^{1}[/tex]

[tex]Amount=50~(~1.17)[/tex]

[tex]Amount=[/tex] $ 58.50 (Option B)

CONCLUSION:

The amount of money in the account in December = $ 58. 50 ( OPTION B )

Hope this helps!

If you have any queries please ask.

PLS HELP I WILL GIVE BRAINLESt TO THE PERSON WHO SOLVES ALL OF THE CORRECTLY

Answers

Answer:

m^4 - 225c^10 = (m^2 - 15c^5 )(15c^5 + m^2)

4.8xy + 36y^2 + 0.16x^2 = (6y + 0.4x)^2

What is the image point of (5,-6)(5,−6) after the transformation r_{\text{y-axis}}\circ T_{-4,0}r
y-axis

∘T
−4,0

?

Answers

The image point of P(x,y) = (5, -6) after applying a horizontal reflection is P'(x,y) = (1, -6).

How to apply a rigid transformation in a point on a Cartesian plane

In geometry, a rigid transformation is a transformation applied onto a geometric object such that Euclidean distance in every point of it is conserved. Translations are examples of rigid transformations and are defined by this formula:

P'(x,y) = P(x,y) + T(x,y)   (1)

Where:

P(x,y) - Original pointT(x,y) - Translation vectorP'(x,y) - Image point

If we know that P(x,y) = (5, -6) and T(x,y) = (-4, 0), then the image point is:

P'(x,y) = (5, -6) + (-4, 0)

P'(x,y) = (1, -6)

The image point of P(x,y) = (5, -6) after applying a horizontal reflection is P'(x,y) = (1, -6). [tex]\blacksquare[/tex]

Remark

Statement is incorrect and poorly formatted. Correct form is shown below:

What is the image point of (x, y) = (5, -6) after the transformation of translating horizontally the point -4 units to the y-axis?

To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538

Find the distance between the pair of points.
(-2,-18) and (-8,-22)

Answers

Answer:

7.21 units

Step-by-step explanation:

hope this helps!

Danielle invests $50 a month in an annuity that earns 4% APR and is compounded monthly. What is the future value of Danielle's account in 3
years?

A. $1909.06
B. $2082.39
C. $2153.85
D. $1843.29

Answers

The future value of Danielle's account in 3 years given the amount invested monthly and the APR is $1909.06.

What is the future value of the account?

The formula that can be used to determine the future value of the annuity is: monthly deposits x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

r = interest rate = 4%/12 n = number of years = 3 x 12 = 36

$50 x [(1.003333^36) - 1] / 0.003333 = $1909.06

To learn more about future value, please check:  https://brainly.com/question/24108530

3(1.07)^18 can you please help??​

Answers

the answer should be 10.13979682

The box-and-whisker plot below represents some data set. What is the minimum value of the data?

Answers

Answer:

minimum value is: the left whisker

Step-by-step explanation:

box an whisker plot: left line is the minimum, first part of the box is Q1, where the box has a middle line it is called Median, the other end of the box is Q3, the right line is called the maximum whisker.

Hope this helps

What is the area of the following circle?

Answers

Answer:

49pi

Step-by-step explanation:

Area of a circle is diameter * 1/2 squared times pi. Then, ((14 * 1/2)^2)pi equals 49pi.

P.S: don't cheat in khan my man, that's dishonored

What is the area of the shape below?

Answers

Answer:

A = 192 units²

Step-by-step explanation:

the figure is a trapezium.

the area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height between the bases and b₁, b₂ are the bases

here h = 12 , b₁ = 12 , b₂ = 20 , then

A = [tex]\frac{1}{2}[/tex] × 12 × (12 + 20) = 6 × 32 = 192 units²

Darin planted 24 packets of seeds in his garden. He planted a combination of bean seeds and corn seeds. If Darin planted 8 packets of bean seeds, which set of steps can be used to find n, the number of packets of corn seeds Darin planted?

Answers

The number of packets of corn seeds Darin planted is 16 packets.

How to write and solve equationTotal packets of seeds = 24Packets of bean seeds = 8Packets of corn seeds = n

The equation:

Total Packets = Bean seeds + corn seeds

24 = 8 + n

subtract 8 from both sides

24 - 8 = n

16 = n

Therefore, the number of packets of corn seeds Darin planted is 16 packets.

Learn more about equation:

https://brainly.com/question/2972832

Answer: 8 + n = 24; n = 16

400/3*6 I don't know I don't have a calculator

Answers

Answer:

22 [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

400/3*6

400/18 = 22 [tex]\frac{2}{9\\}[/tex]

or 22.222 to the nearest thousandths.

Factor completely 3x – 15.
-
03(x - 5)
03(x + 5)
3x(-15)
Prime

Answers

probably A the correct question good luck!

evaluate the expression when c=9 and d=4. 5c+d

Answers

Answer:

5(9)+4= 45+4.....= 49

Step-by-step explanation:

if i am 57 years old and i have known someone for 6 and a half years what percentage of my life have i known that person​

Answers

Answer: 11.4%

Step-by-step explanation:

100% of your life is 57 years

?% will be 6.5 years?

this is a simple ratio problem:

57 --> 100%

6.5 ---> (6.5 x 100)/57 ≅ 11.4%

You have known the person for about 11.4% of your life.

help please? with a working out would be nice

Answers

Answer:

280 cups total.  

Step-by-step explanation:

Tricky.  The explanation and answers are on attached images.

Mr. Nathan ordered a total of 24 roses in three different colors. 1/3 white 1/4
yellow, and the rest red. What is the number of red roses Mr. Nathan ordered? Enter your answer in the box.

Answers

Answer:

10 red
8 white
6 yellow

Step-by-step explanation:

1/3 of 24 is 8 white
1/4 of 24 is 6 yellow
8+6 is 14
24-14 is 10
there are 10 red

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