NO LINKS!! Write the first 5 terms of the geometric sequence
a1 = 6, r = 4

a1=
a2=
a3=
a4=
a5=

Answers

Answer 1

Step-by-step explanation:

since it is geometric sequence we will use the formula

[tex]tn = {ar}^{n - 1} [/tex]

a = 6

r = 4

The first term

T1(a) = 6

The second term

[tex]t2 = {a \times r}^{2 - 1} [/tex]

[tex]t2 = {6 \times 4}^{1 } = 24[/tex]

The Third Term

[tex]t3 = {a \times r}^{3 - 1} = {a \times r}^{2} [/tex]

[tex]t3 = {6 \times 4}^{2} = 6 \times 16 = 96[/tex]

The fourth term

[tex]t4 = {a \times r}^{4 - 1} = {a \times r}^{3} [/tex]

[tex]t4 = {6 \times 4}^{3} = 6 \times 64 = 384[/tex]

The fifth term

[tex]t5 = {a \times r}^{5 - 1} = {a \times r}^{4} [/tex]

[tex]t5 = {6 \times 4}^{4} = 6 \times 256 = 1,536[/tex]

i hope these helped

Answer 2

Answer:

6, 24, 96, 384, 1536, ...

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}[/tex]

Given:

a = 6r = 4

Substitute the given values of a and r into the formula to create an equation for the nth term:

[tex]a_n=6(4)^{n-1}[/tex]

To find the first 5 terms of the geometric sequence, substitute n = 1 through 5 into the equation.

[tex]\begin{aligned}\implies a_1&=6(4)^{1-1}\\&=6(4)^{0}\\&=6(1)\\&=6\end{aligned}[/tex]

[tex]\begin{aligned}\implies a_2&=6(4)^{2-1}\\&=6(4)^{1}\\&=6(4)\\&=24\end{aligned}[/tex]

[tex]\begin{aligned}\implies a_3&=6(4)^{3-1}\\&=6(4)^{2}\\&=6(16)\\&=96\end{aligned}[/tex]

[tex]\begin{aligned}\implies a_4&=6(4)^{4-1}\\&=6(4)^{3}\\&=6(64)\\&=384\end{aligned}[/tex]

[tex]\begin{aligned}\implies a_5&=6(4)^{5-1}\\&=6(4)^{4}\\&=6(256)\\&=1536\end{aligned}[/tex]

Therefore, the first 5 terms of the given geometric sequence are:

6, 24, 96, 384, 1536, ...

Related Questions

please help meeeeeeeeeeeeeeeee

Answers

Answer:

hi

Step-by-step explanation:

i think so...

[tex]\pi \times {r}^{2} \times \frac{h}{3} \\ 3.14 \times 3.5 \times \frac{9}{3} \\ = 32.97[/tex]

hope it helps

bye

A triangle has vertices at B(-3,0), C(2, -1), D(-1,2). Which series of transformations would produce an image with vertices B"(4,1), C"(-1,0), D"(2, 3)?
O(x, y) - (X. -y). (x, y) (x + 1. y + 1)
O(x, y) - (-x, y). (X. y) (x + 1, y + 1)
O(x, y) - (x, -y), (x, y) (X + 2, Y + 2)
O(x, y) - (-x, y), (x, y) + (x + 2, Y + 2)

Answers

Answer:

  (b)  (x, y) ⇒ (-x, y); (x, y) ⇒ (x + 1, y + 1)

Step-by-step explanation:

A graph shows the image is consistent with reflection over the y-axis

  (x, y) ⇒ (-x, y)

and translation right 1, up 1

  (x, y) ⇒ (x +1, y +1)

These transformations are listed in the second choice.

__

In the attachment, the original image is blue, the reflected image is purple, and the final translated image is red.

Find the mode, median, mean, lower quartile (Q1), upper quartile (Q3), minimum, maximum, range, interquartile range, and standard deviation for the data set. Then create a box and whisker plot. Be sure to show work for finding the lower and upper fence and then plot any possible outliers appropriately. Round answers to the nearest hundredth.

1) The following data is the points that
Melody scored in her first 13 games of her
basketball season.
16, 12, 14, 9, 8, 12, 14, 28, 15, 18, 7, 14, 6

Answers

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bit.[tex]^{}[/tex]ly/3a8Nt8n


Find the area of the shape shown in the diagram below (dimensions are in ft):

Answers

Answer:

where is the picture???????????

Evaluate the expression.
-2.035 – 1.008 - 3.04 + 0.008

Answers

Answer:

-6.075

Step-by-step explanation:

simple addition/subtraction

we multiply all the terms by "-1"

we add the first three terms then subtract the last from it

Without solving, identify whether each of the following equations has a unique solution, no solution, or infinitely many solutions.
3.2 + 6 = -8
0 1 solution
O No Solution
O Infinite solutions

Answers

Answer:

No solution

Step-by-step explanation:

what is 3/7 divided by 2/5?

Answers

Answer:

1 1/14

you have to multiply by the reciprocal of the second fraction

A building in a city has a rectangular base. The length of the base measures 70 ft less than twice the width. The perimeter of this base is 820 ft. What are the dimensions of the base?

Answers

Answer:

160 ft, 250ft

Step-by-step explanation:

Rectangular base:

Width = w

length =2w - 70

Perimeter = 820 ft

2*(length + width) = 820

2*(2w - 70 + w ) = 820

2 *(2w + w - 70) = 820     {Combine like terms}

2* (3w - 70) = 820

3w*2 - 70*2 = 820

6w - 140  = 820    

6w  = 820 + 140     {Add 140 to both side}

6w = 960     {Divide both sides by 6}

w = 960/6

w = 160 ft

length = 2*160 - 70

          = 320 - 70

          = 250 ft


A recipe calls for one egg to serve every four people. It also requires two tbsp of salt for every five eggs used. If you are cooking a
banquet for 300 people, how many tbsp of salt will you need?


a. 7.5 tsp
b. 30 tsp
c. 15 tsp
d. 60 tsp
I
No calculator is allowed on this question.

Answers

Answer:

30

Step-by-step explanation:

300/4=75

75/5=15

15*2=30

This data is an example of

A. a linear function

B. a nonlinear function

C. neither a linear nor nonlinear function - it is not a
function at all

Answers

Answer:

a nonlinear function I think because it's a quadratic one?? kinda

B because I learned about it

SRRY BUT PLEASE HELP What percent is equivalent to 1/25?

4%
5%
20%
25%

Answers

Answer:

4%

Step-by-step explanation:

1/25 is equal to 0.04

To convert a decimal to a percent... move the decimal 2 spots to the right

This will give you 4%

Hope this helps!

HOW TO CONVERT 1/25 TO A PERCENTAGE?

To write 1/25 to a percentage, you must remember that 1 equals 100% and that what you must do is multiply the number by 100 and add the symbol% at the end.

[tex] \bold{1 /25 * 100 = 0.04 * 100 = 4\%}[/tex]

And finally we have:

[tex] \bold{1/25 \: a \: percentage equals 4\%}[/tex]

How many gallons are in of a 7-gallon container of milk?​

Answers

Answer:

7

Step-by-step explanation:

Uhh 7 divided by 1 is 7?

Answer:

7

Step-by-step explanation:

There are 7 gallons in a 7-gallon container of milk.

find the slope based on the date below
x: -4, 0, 4 8
y: 3, 8 13 18
HELPPP QUICKK PLZZ

Answers

Answer:

The slope is [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

Slope of a dataset:

The slope of a dataset, having two points, is given by the change in y values divided by the change in x values

In this question:

Two points:

x = 0, y = 8

X = 4, y = 13

The slope is:

[tex]m = \frac{13 - 8}{4 - 0} = \frac{5}{4}[/tex]

The slope is [tex]\frac{5}{4}[/tex]

I’m dead for not knowing this

Answers

The correct answer is A: -2 + 2 = 0

Janice and Emily are selling raffle tickets. So far they have sold 42 tickets, which is 12% of what they're trying to sell. How many tickets total are they trying to sell?

Answers

Answer:

350 tickets

Step-by-step explanation:

if you do 42/350, it would equal 12%, so 350 is the total

Diane scored 356.789 points Jeff scored 190.499 points how many more points did Diane score than Jeff

Answers

Answer: 166.29

Step-by-step explanation:

Answer:

It's 166.29

Diane score 166.29 more than jeff

Step-by-step explanation:

 356.789

- 190.499  

= 166.29

A quart and a liter of the same kind of drink are on a shelf and are the same price. Which one should you pick if you are really thirsty?
quart
doesn't matter - they are the same amount
liter

Answers

if you’re really thirsty you should drink a liter

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points. Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points. Find Keenan's and Rachel’s z-scores, to the nearest hundredth.

Answers

Answer:

Keenan's z-score was of 0.61.

Rachel's z-score was of 0.81.

Step-by-step explanation:

Z-score:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.

This means that [tex]X = 80, \mu = 77, \sigma = 4.9[/tex]

So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{80 - 77}{4.9}[/tex]

[tex]Z = 0.61[/tex]

Keenan's z-score was of 0.61.

Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.

This means that [tex]X = 78, \mu = 75, \sigma = 3.7[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{75 - 78}{3.7}[/tex]

[tex]Z = 0.81[/tex]

Rachel's z-score was of 0.81.

what are 3 different equations that have x=5 as a solution

Answers

Answer:

1) x+y=50

2) 5x+2y=200

3)2x+4y=200

Hope this helps!

Answer:

x+3=8, 2x-8=2, and 4x-4=16

Step-by-step explanation:

Piper is going to invest $74,000 and leave it in an account for 11 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest hundredth of
a percent, would be required in order for Piper to end up with $108,000?

Answers

108000= 74000e^r11
Divide both sides by 74000
1.45946=e^11r
Ln1.45946=11r
.37807=11r
Divide by 11
.03437
3.44%.

Victor wants to buy fertilizer for his yard. The yard measure 55 feet by 60 feet the direction on the bag
of fertilizer say that one bag will cover 1,230 sq ft.
How many bags of fertilizer should Victor buy to be sure that he covers the entire yard?
Victor should buy
bags of fertilizer.

Answers

Answer:

3 bags

Step-by-step explanation:

55 x 60 = 3300 ft²

3300/1230 = 2.68 bags

Colin invests £1500 into a savings account. The bank gives 4% compound interest for the first 3 years and 5% thereafter. How much will Colin have after 4 years to the nearest pound?

Answers

1500(1+0.04)^3 = 1687.30

1687.30(1+0.05) = 1771.67 to the nearest pound: 1772

User averysmartperson is helping with this question.

Answers

Answer:

[tex]x^2 + (y-60)^2 = 30,625[/tex]

Step-by-step explanation:

There are 42 carts, so there is 42 spaces in between them; if one of those spaces are 25pi/3 feet long, then 42 of them would be 25*42*pi/3 = 350pi (Perfect! no fractions)

350pi is the circumference. Now if we plug that into the circumference equation we get:

C = 2pi*r

350pi = 2pi*r

Divide both sides by pi to get rid of it

350 = 2r

Divide both sides by 2

r = 175 feet

So the new equation to graph it is:

x^2+y^2 = 175^2 = 30,625

We also know that the center of the Ferris wheel has to be at least 60 feet from the ground. Since the radius is more than that, a good bit of the Ferris wheel has to be underground OR we can make it higher (keyword: at least) if we want it to be above ground. I'll do the equation for underground since it more closely represents the question.

subtracting a number from y, shifts the graph up that much so:

[tex]x^2 + (y-60)^2 = 30,625[/tex]

I can't really draw it electronically but I can graph it:

Please help will give brainliest

Answers

Answer:

angle a+angle b+angle c=180°

90°+38°+angle c=180°

128°+angle c=180°

angle c=180°-128°

angle c =52°

52°+n°=180°

n=180°-52

n=128°

Giving BRAINLYIST to whoever gets it right! PLEASE HELP!

Answers

Answer:

area = 117 cm²

Step-by-step explanation:

area = 1/2(b1 + b2)h

area = 1/2(17 + 9)(9)

area = 117 cm²

Answer:

A=117

Step-by-step explanation:

:))

For the length given below draw a line segment to match. Express the measurement as a equivalent mixed number. 4.8 cm

Answers

Answer:

there's nothing there

Step-by-step explanation:

The solution is, The length of line segment AB is 3.4cm.

What is Line segment?

Line segment is the part of line which have two endpoint and bounded by two distinct end points and it contain every point on the line which is between its endpoint.

here, we have,

The area of octagon is given as 2a^2(1+sqrt{2})

Where a is the side of octagaon.

All lengths of sides of octagon are same.

now, we get,

As, 2a^2(1+sqrt{2}) = 54cm

so, we have,

Then, a^2 = 54/2(1+sqrt{2})

a^2 = 54/4.828

a^2 = 11.19

a = 3.4 cm

Hence, The solution is, The length of line segment AB is 3.4cm.

Learn more about the line segment visit:

brainly.com/question/280216

#SPJ2

complete question;

What is the length of line segment AB, rounded to the

nearest tenth?

3.4 cm

O 4.8 cm

24 cm

0 27 cm

Hector puts together two tables to make a long table for a class picnic.
One table is 7 feet 7 inches long. The other table is 6 feet 9 inches long.
What is the total length of the two tables?

Answers

Answer: 14 feet 4 inches

Step-by-step explanation:

Given: The length of the first table = 7 feet 7 inches

The length of the second table = 6 feet 9 inches

The total length of two tables = 7 feet 7 inches + 6 feet 9 inches

= (7+6) feet (7+9) inches

=13 feet 16 inches

Since 1 feet = 12 inches

The total length of two tables = 13 feet+ (12 inches +4 inches)

=13 feet +( 1 feet +4 inches)

= 14 feet 4 inches

Hence, the total length of the two tables =  14 feet 4 inches

Tricia made a 55% on her science test. If she got 11 problems correct, how many questions were on the test?

Answers

Answer:

20 questions

Step-by-step explanation:

20 · 0.55 = 11

What is the volume of the figure?


HELP

Answers

Answer:

the anser is 88 i think

Step-by-step explanation:

beacuse 5.8=40

              5.8=40

               1.8=8

or it could be

264

Step-by-step explanation:

Figure on the left: 5x5x8 = 200

Figure on the right: 8x1x8 = 64

200+64=264

Answer:

264

Step-by-step explanation:

Figure on the left: 5x5x8 = 200

Figure on the right: 8x1x8 = 64

200+64=264

Select all ratios equivalent to 3:2.
2:1
7:16
21:14

Answers

Answer:

Step-by-step explanation:

21 : 14

Both have 7 in common

3 : 2

So Option C 21 : 14 is the correct answer

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