Write an equation for the nth term of the geometric sequence 0.6, 3, 15, -- 75, ...
Then find a6. Round to the nearest tenth if necessary.

Answers

Answer 1

Answer:

Step-by-step explanation:

nth term = 0.6 × 5ⁿ⁻¹

a₆ = 0.6 × 5⁵ = 1875

Answer 2

The sixth term of the sequence is [tex]3,125.6[/tex]

Geometric sequence

GIven the geometric seqence 0.6, 3, 15, 75, .

The nth term of the sequence is expreessed as [tex]T_n = ar^{n-1}[/tex]

a is the first termn is the number of termsr is the common ratio

Given the following

a = 0.6

r = 5

n = 6

Get the nth term

[tex]T_n= 0.6(5)^{n-1}[/tex]

For thr sixth term:

[tex]T_6= 0.6(5)^{6-1}\\T_6= 0.6(5)^5\\T_6= 3,125.6[/tex]

Hence the sixth term of the sequence is [tex]3,125.6[/tex]

Learn more on geometrc sequence here: https://brainly.com/question/1509142


Related Questions

I need help with this question.

Answers

Answer:

[tex]13 {z}^{8} [/tex]

Step-by-step explanation:

Ram is running a bakery. He has made a street sign to direct people to his bakery. He painted one side of the post and sign. What is the painted area? 10 in 10 in 6 in 45 in 5 in
A. 225 square inches
B. 355 square inches
C. 385 square inches
D. 275 square inches

Answers

Answer:

355 square inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

b=355

The perimeter of a square is represented by the expression 32x-12. . Write two equivalent expressions for the perimeter and explain how to find the length of one side. x=3

Answers

Answer:

P = 2(l+w) ----------(1)

P = 4l----------- (2)

P= 32x- 12

4l = 32x- 12

l = 8x- 3

One side will be equal to 21 units and the perimeter will be 84 units when x=3.

Step-by-step explanation:

The perimeter is given by the formula

P = 2(l+w) ----------(1)

where p= perimeter , l= length and w= width.

But a square has the length equal to the width so w= l and the formula becomes

P = 2( l+l)

P = 2 (2l)

P = 4l----------- (2)

The perimeter of the square is

P= 32x- 12

or

4l = 32x- 12

dividing the whole equation by 4 we get

l = 8x- 3

So the length of one side can be obtained by dividing the perimeter by 4.

If x= 3

then

l= 8(3)-3

l= 24- 3

l = 21

One side will be equal to 21 units and the perimeter will be 84 units.

P = 4l = 4(21)= 84

Suppose the radius of a circle is three units what is the circumference

Answers

Answer:

[tex]6\pi[/tex] or [tex]18.84[/tex] units

Step-by-step explanation:

The circumference of a circle can be found using the formula [tex]C=2\pi r[/tex], where [tex]C[/tex] is the circle's circumference and [tex]r[/tex] is the circle's radius. We know that [tex]r=3[/tex] and that we are solving for [tex]C[/tex]. Therefore:

[tex]C=2\pi r\\C=2*\pi *3\\C=6\pi[/tex]

Since [tex]\pi[/tex] is approximately [tex]3.14[/tex], [tex]6\pi =6*3.14=18.84[/tex] units. Hope this helps!


Mare has a monthly cell phone plan that has a fixed charge of $12 per month plus
$0.30 per text message. Marie wants to spend no more than $40 per month on her
call phone. Which inequality represents the number of text messages, X, that Marie
Please hurry

Answers

You need to multiply the cost per text message by the number of messages (x) add that to the fixed charge.

The total of those need to be less than or equal to the amount she wants to spend.

The equation would be written as:

0.30x + 12 <= 40

find the tangents of the acute angle in the right triangle. write each answer as a fraction​

Answers

Answer:

[tex]tanD=\frac{7}{24}[/tex]

[tex]tanF=\frac{24}{7}[/tex]

Step-by-step explanation:

We are given that

ED=24units

EF=7units

FD=25 units

We have to find  the  tangents of the acute angle in the right triangle

We know that

tangent=[tex]\frac{Perpendicular\;side}{Base}[/tex]

Using the formula

[tex]tanD=\frac{EF}{ED}[/tex]

[tex]tanD=\frac{7}{24}[/tex]

[tex]tanF=\frac{ED}{EF}[/tex]

[tex]tanF=\frac{24}{7}[/tex]

Please I’m desperate and tell me how you did it

Answers

Given:

Triangle EFG is similar to triangle HIJ.

To find:

The measure of side IJ.

Solution:

We know that, corresponding sides of similar triangles are proportional.

Triangle EFG is similar to triangle HIJ.

[tex]\dfrac{EF}{HI}=\dfrac{FG}{IJ}[/tex]

Putting the given values, we get

[tex]\dfrac{7}{32}=\dfrac{4}{IJ}[/tex]

[tex]7\times IJ=4\times 32[/tex]

[tex]IJ=\dfrac{128}{7}[/tex]

[tex]IJ=18.2857[/tex]

[tex]IJ\approx =18.3[/tex]

Therefore, the measure of side IJ is 18.3 units.

What is greater 100,000 cm or 1 mi PLEASE HELPPPPPPP

Answers

Answer:

1 mile

Step-by-step explanation:

1m =160934 cm

Someone plz help me I wil give brainliest

Answers

Answer:

The answer is three quarters, one nickel's dime, and a penny!

Step-by-step explanation:

Answer:

Dime- 4

Penny- 1

Half Dollar- 1

Step-by-step explanation:

A dollar is 100 cents and you have 91

91- 50 (half dollar)= 41

41- 1 (one penny)= 40

40- 40 (4 dimes)= 0

A circular cylinder has a curved surface area 1320cm square and the radius of its base is 10.5cm find the height and volume of cylinder.​

Answers

Answer:

h=9.51

v=3293.89

Step-by-step explanation:

hope it helps :)

Answer:

h = 9.51

v = 3293.89

Step-by-step explanation:

please mark me as brainliest

Use the Distributive Property to rewrite the algebraic expression. 5(2x + 7)

wrong answers reported, correct answers get 5 stars

Answers

Answer:

10x + 35

Step-by-step explanation:

In distributive property, you have to distribute that 5 to both the 2x and the 7, so then it would look like this:

5(2x) + 7(5)

Then we just further simplify and get:

10x + 35.

Hope this helped, let me know if you have any questions

expand the following: 4(2x + 1)

Answers

8x + 4 is the answer

Answer:

the equivalent expression is 8x + 4

Step-by-step explanation:

4(2x + 1) = 4x2 = 8 =

8x + 1 = 4x1 = 4 =

8x + 4

To check your work substitute 1

4(2(1) + 1) = 4(2 + 1) = 4(3) = 12

8(1) + 4 = 8+4 = 12

therefore they are both equivalent

hope this helped!

The equation k = 1.6d gives an approximate relationship between d miles and k kilometers. The distance between Boise, Idaho, and Reno, Nevada, is 430 miles. Express the distance in kilometers.


A.
431.6 km


B.
268.8 km


C.
688 km

Answers

Answer:  C) 688 km

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

Work Shown:

k = 1.6d

k = 1.6*430

k = 688

430 miles is roughly equivalent to 688 km.

More accurately, 430 miles = 692.01792 km, so this approximation isn't too far off.

Answer: the answer is C. 688 km

RESULT

The distance between Boise, Idaho and Reno, Nevada is 688 kilometers.

Step-by-step explanation:

The equation k = 1.6d gives an approximate relationship between d miles and k kilometers. Express each distance in kilometers. the 430 miles between Boise, Idaho, and Reno, Nevada

k = 1.6 d

Where k is in kilometers n d in miles

The distance between Boise, Idaho and Reno, Nevada is 430

Substituting d= 430 we get,

k = 1.6(430)

k = 688

RESULT

The distance between Boise, Idaho and Reno, Nevada is 688 kilometers.

find the fourth proportional to 2,3,6​

Answers

Answer:

9

Step-by-step explanation:

Let the fourth proportional be x Then

2 : 3 :: 6 : x

2/3 = 6 / x

2x = 3 * 6

x = 18 / 2

x = 9

Hope it will help :)

Which point has the coordinates (2, 3)?
у
5
4
B.
С
3
2
D
A
1
0
1
2
з
4
х
5
ОА
ОС
OD
ОВ

Answers

Answer:

Point B

Step-by-step explanation:

The first number in the brackets is X while the second is Y (x, y).

X is the bottom line, while Y is the line going up.

Find 2 on the bottom line and 3 on the upright line. This gives us B.

I am sorry for the poor explanation.

Write an equation and solve: At Trader Joes, Mrs.
Jacobs buys bananas for $0.65 per pound and a
frozen pizza for $4.99. The total for her purchase
was $6.94. How many pounds of bananas did
Mrs. Jacobs buy?

Answers

6.94-4.99= 1.95

Take the 1.95 divid by the 0.65 per pound and she bought 3 pounds

The Flightless Folly ship has 20 pirates aboard. 12 of those pirates wear an eye patch. What percentage of pirates wear an eye patch on the Flightless Folly?

Answers

60% of pirates wear an eye patch

-2(3x-4)+3x=17 solve for x

Answers

Answer:

The answer will be -3

Step-by-step explanation:

Hope this Helped

Answer:

x= -3

Step-by-step explanation:

It is really Easy just Isolate the variable by dividing each factor that don't contain the variable

Over the course of 3 days, Calvin spent 10 hours delivering newspapers. He spent the same amount of time each day delivering newspapers. Which of the following equations represents the amount of time Calvin spent delivering papers each day?
A: 3 ÷ 10
B: 10 ÷ 3 =
C:10 ÷ 7 =
D: 7 ÷ 10 =

Answers

I think the answer is d hope this help

On Monday ,bo saw 1/5 of birds listed in his guidebook. on Tuesday he saw 3/5 more of birds. what fraction of the birds in the guidebook did bo see in those two days ?

Answers

Answer:

4/5

Step-by-step explanation:

That would be 1/5 + 3/5 which equals (1+3)/5 = 4/5

what is the circumfrence of this circle? pi=3.14 formulas: C = (pi) * d (or) c=2*(pi) * r

Answers

Answer:

75.36 cm

Step-by-step explanation:

Given.

radius (r) = 12 cm

Circumference (C)

= 2*π*r

= 2 * 3.14 * 12

= 75.36 cm

Hope it will help :)

what is the mean of the data set? 16, 24, 26, 13

Answers

Answer:

20

Step-by-step explanation:

17+24+26+13=80

80/4=20

Is y=9 a horizontal line or vertical

Answers

Answer:

Horizontal

Step-by-step explanation:

Answer:

y = 9 is a horizontal line :)

Step-by-step explanation:

y=9 is the equation of a horizontal line. The slope is 0. This means that for any value of x that is chosen, the y-value is always 9 Hence y=9 .

20000 students took a standardized math test. The scores on the test are normally distributed, with a mean score of 85 and a standard deviation of 5. About how many students scored between 90 and 95?

Answers

Answer: 2718

Step-by-step explanation:

Given: Mean score = 85

Standard deviation = 5

Let x be the score of a random student that follows normal distribution.

Then, the probability that a student scored between 90 and 95 will be

[tex]P(90< x < 95)\\\\=P(\dfrac{90-85}{5}<\dfrac{x-\mu}{\sigma}<\dfrac{95-85}{5})\\\\= P(1< z< 2)\ \ \ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=P(z<2)-P(z<1)\\\\=0.9772-0.8413\\\\=0.1359[/tex]

The number of students scored between 90 and 95 = 0.1359 x (Total students)

= 0.1359 (20000)

= 2718

Hence, The number of students scored between 90 and 95 = 2718

solve the equation r4·r3 = _____

Answers

r12 because you multiply the numbers but keep the (r)

I NEED HELP WITH THISSSSSSSS!!!!!!

Answers

Answer:

The answers should be:

LRS = 137.5

NRS = 42.5

QRN = 137.5

MNR = 42.5

RNP = 137.5

KNP = 42.5

MNK = 137.5

Step-by-step explanation:

180 - 42.5 = 137.5

Answer:

ok this is going to be kinda confusing but here:

angle lrs: 137.5

angle nrs:42.5

angle nrq:137.5

angle knp:42.5

angle rnm: 42.5

angle mnk: 137.5

angle pnr: 137.5

Step-by-step explanation:

basically everything is either 137.5 or 42.5

Need help!!!!!! this is for a grade

Answers

C it is C
I think hope this helps

What is 3 - 15/7? I am having trouble with that problem! Thank you for whoever helps.

Answers

Answer:

About -1.7142

Step-by-step explanation:

-

Jonathan says that when you add 7 2 3 to 2 2 3 , you must add the whole numbers together first ( 7 + 2 = 9 ). Then you just add the numerators together ( 2 + 2 = 4 ), and you add the denominators together ( 3 + 3 = 6 ). So the answer is 9 4 6 . Unfortunately, Jonathan's strategy is incorrect. Solve this problem, and then briefly explain the flaw in Jonathan's reasoning.

Answers

Answer:

9 4/3

Step-by-step explanation:

Jonathan working:

Add 7 2/3 to 2 2/3

Step 1: you must add the whole numbers together first ( 7 + 2 = 9 ).

Step 2: Then you just add the numerators together ( 2 + 2 = 4 ),

Step 3: you add the denominators together ( 3 + 3 = 6 ).

Step 4: Answer is 9 4/6

Correct workings:

Add 7 2/3 to 2 2/3

Step 1: you must add the whole numbers together first ( 7 + 2 = 9 ).

Step 2: Then you just add the numerators together ( 2 + 2 = 4 ),

Step 3: you pick one of the denominators because they are the same (3)

Step 4: Answer is 9 4/3

Identify the property demonstrated by the equation. x + (3 + 5 ) = (x + 3 ) + 5

Answers

It is called associated property.
The ( ) are moved around, but the answer will be the same.
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