write an explicit formula for each geometric sequence
1000,200,40,...​

Answers

Answer 1

Answer:

[tex]\text Explicit \ Formula :\ a_{n}= 1000\times (\frac{1}{5}) ^{n-1}[/tex]

Step-by-step explanation:

Let [tex]\left( a_{n}\right)[/tex]  be our geometric sequence

The explicit formula for [tex]\left( a_{n}\right)[/tex] is :

 [tex]a_{n}= a_1\times r^{n-1}[/tex]

where r is the common ratio

          a1 is the first term

We notice that :

200/1000 = 1/5

40/200 = 1/5

⇒ r = 1/5

[tex]a_1 = 1000\ \ (given)[/tex]

Conclusion:

[tex]a_{n}= 1000\times (\frac{1}{5}) ^{n-1}[/tex]


Related Questions

what distance is travelled by a bus that travels at 105kph in 5 hours

Answers

Answer:

21mph = 33.80 km/h

Step-by-step explanation:

Speed = Distance / Time = 105 kph / 5 hours = 21 mph = 33.80 km/h

DISTANCE

What is the distance traveled by the bus at a speed of 105 kph in 5 hours?

Answer:

The distance traveled by the bus is 525 kilometers.

Step-by-step explanation:

As per the provided information in the given question, we know that the speed is given by 105 kph. The time is given by 5 hours. In this problem, we are tasked to find the distance traveled by the bus.

To do this, we will use the formula below:

[tex]\large\begin{aligned}\bigstar\:\boxed{\rm{\: Distance = Speed \times Time \:}} \end{aligned}[/tex]

Substitute the given values into the formula given above and solve for Distance:

[tex]\large\begin{aligned}\rm:\implies{Distance}& = \rm{Speed \times Time} \\\rm:\implies{Distance} & =\rm{105\: kph \times 5\: hrs} \\\rm:\implies{Distance} & =\rm{525\: km} \end{aligned}[/tex]

Hence, the distance traveled by the bus is 525 kilometers.

Learn more about distance here:

https://brainly.com/question/13503947

MATH
can somebody answer these questions for me??

Answers

Answer: a. im not too sure about

B. independent variable is speed, dependent is stopping distance.

C. you already did, just make sure to draw the line connecting the dots!

Step-by-step explanation:

independent variable is one that doesn’t change because of the other variable. dependent changes.

i hope this helps!!

Tyesha found that the z-statistic was 2.1 and that the critical z-values were -1.96 and 1.96. Which of the following is a valid conclusion based on these results?
A.One can reject the null hypothesis.
B.One can reject the alternate hypothesis.
C.One can accept the null hypothesis.
D.One cannot accept or reject the null hypothesis.

Answers

Answer:

its the blah to the right

Which equation represents exponential growth?

Answers

Answer:

D represents exponential growth.

help me!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C) 1 quart

Step-by-step explanation:

What is the area of a circle with a diameter of 15. 8cm? To the nearest hundredth

Answers

Answer:

see below

Step-by-step explanation:

First we need to find the radius

r =d/2 = 15.8/2 = 7.9 cm

The area of a circle is given by

A = pi r^2

   = pi ( 7.9) ^2

   =62.41 pi

Using 3.14 for pi

195.9674  

To the nearest hundredth

195.97

Using the pi button

196.0667975

To the nearest hundredth

196.07



pls say the answer with steps ​

Answers

Answer:

Ok

Step-by-step explanation:

-2/7 * 5/6 = - 10 / 42

-2/7 * - 1/3 = 2/21

So the equation now :

-10 / 42 + 2/1 + 2/21 =

Let the have same denominator

- 10 / 42 + 84 / 42 + 4/ 42 =

= 78 / 42

If a newspaper costs $0.60 and you only have $5.00 in quarters, how many cents would you lose out on because the vending machine doesn't give back any change?

Answers

Answer:

Step-by-step explanation:

500 / 4 = 20 quarters we have

for the newspaper we will put only 3 quarters to machine

3 * 25 = 75 cents

75 - 60 = 15 cents lose

still we have 17 quarters

Using the table below, complete and explain the process used for each step in solving the equation. 4c+ 12-2c = 5c - 3​

Answers

Answer:

c=3

Step-by-step explanation:

4c+12-2c=5c-3  1. combine like terms

2c+12=5c-3    2. -5c on both sides

-3c+12=3      3. -12 on both sides

-3c=-9       4. /-3 on both sides

c=3

why is m dog eating 300 dog treats but 0 food?

Answers

Answer:

...300 dog treats? Do you not have dog food in your house?

Maybe it's because they dont like the brand of the dog food.

Answer:

because your dog is used to dog treats

3 1/18 x 90 Thanks everyone whos been helping ! :)

Answers

Answer:

3

Step-by-step explanation:

Not sure

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

All you do is

Step-by-step explanation:

1/4 x 6

Then simplefiy your answer

Hey there!

6 * 1/4

= 6/1 * 1/4
= 6(1) / 1(4)

= 6 / 4

= 6 ÷ 2 / 4 ÷ 2

= 3 / 2

≈ 1 1/2

Therefore, your answer is: 1 1/2


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Will post C later: Transformations, Congruence, and Similarity

Answers

Answer:

Answer:

xz=cb            = 45/60 = .75

zy=ab            = 30/40 = .75

xy=ac             = 37.5/50 = .75

Step-by-step explanation:

Step-by-step explanation:

all lines when put into ratio format show .75 scale factor big to little triangle side lengths.

SIMPLIFY: 4 (1-x + x²)-2 ( 5x) x +3+5x​

Answers

Answer:

By simplifying the expressions we get,

-6x^{2}+x+7

Step-by-step explanation:

Answer:

-6x^2+x+7

Step-by-step explanation:

-6x^2+x+7

correct answer gets brainliest

Answers

Answer:

bottom right

Step-by-step explanation:

the other ones do not go up/down by the same amount

What is the area of the semicircle (use 3.14 for p)?
Please help! Will mark brainlyest.

Answers

Answer:

127.17 cm²

Step-by-step explanation:

Area of a semicircle: 1/2*π*r²π (pi) = 3.14r (radius) = d (diamater) / 2 => 18/2 = 9 cm

A = 1/2*π*r²

A = 1/2*3.14*9²

A = 1/2*3.14*81

A = 3.14*40.5

A = 127.17 cm²

Therefore, the area of the semicircle is 127.17 cm²

Hope this helps!

Answer: the first option: 127.17cm2

Step-by-step explanation:

1. divide the diameter in half to get the radius.

2. multiply the radius squared by pie

3. divide that answer in half

so:

9*9=81

81*3.14= 254.34

254.34/2= 127.17

Math question, me need help

Answers

Answer: Idealistically, you can write many numbers here, but for the sake of simplicity, I'll say... -7.60.

Step-by-step explanation: This isn't much in terms of written work, it's more mental math. When we're looking for a number greater than a negtaive number, but it still has to be negative, it will be less than the first number. So, what can be less than -7.81, anything -7.80 and above before you get to -7. The higher the number in the negative scale, the smaller it is. The lower the number on the negative scale, the larger it is. So make the number larger than -7.81, and less than -7.

please help due in 30 minutes!! This is worth 10 points if I don’t complete it it’s a 0

Answers

Answer:

The sum of the three products.

Step-by-step explanation:

37 A grocery store clerk arranged 72 boxes of pasta on 3 shelves. If he placed the same number of boxes on each shelf, how many boxes did he place on
each shelf?

Answers

Answer:

24.

Step-by-step explanation:

The answer to this can be found by dividing 72 by 3.

72 divided by 3 = 24.

24 boxes of pasta on each shelf

H14
113
42
11
-10
H13
12
-11
-40
9
144
H13
H12
-11
10
3
-6
TOA
2
4
1 2 3 4 5 6 7 8 9 1011121314
1 2 3 4 5 6 7 8 9 1011121314
1 2 3 4 5 6 7 8 9 1011121314
94
14
4000
H14
13
Y4
14
13
12
11
10
13
42
11
10
9
8
7
12
8
а со т о р т о су
-11
10
9
8
-7
6
5
No dob
3
2
1
3
2
1
2.
1 2 3 4 5 6 7 8 9 1011121314
1 2 3 4 5 6 7 8 9 1011121314
1 2 3 4 5 6 7 8 9 1011121314
Positive Association
Negative Association
No Association

Answers

uh I don't unerstand that :(

. In triangle DEF, the measure of angle D is 122º. Angle E is acute, and angle F is 19º. What is the measure of angle F in degrees?​

Answers

Answer: 19 degrees is your answer

Step-by-step explanation:

HELP PLS ILL GIVE BRAINLIEST
Which expression is equivalent to v4? Select all that apply.
Group of answer choices

v + v + v + v

v ^3 v

v^2 + v^2

4v

2v ^2

(v) (v) (v) (v)

Answers

Answer:

the first one thats v four times so v⁴

the second one v³v combine like terms v⁴

i think thats it

HELP PLEASE!!!

How many times larger is the area of the larger rectangle than the area of the smaller rectangle?

9
or
6

Answers

The larger rectangle is 9 time larger than the smaller one because the area of the larger one is 576mm and the small one is 64mm and when you divide 576mm by 64 mm you get nine ( not 9mm just 9 )

Answer:

9

Step-by-step explanation:

Savannah decides to research the relationship between the length in inches and the
weight of a certain species of catfish. She measures the length and weight of a number
of specimens she catches, then throws back into the water. After plotting all her data,
she draws a line of best fit. Based on the line of best fit, what would you predict to be
the length of a catfish that weighed 36 pounds?

Answers

Using the line of best fit, it is found that the predicted length of a catfish that weighed 36 pounds is of 36 inches.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, the line passes through points (20,4) and (29,22), hence the slope is given by:

m = (22 - 4)/(29 - 20) = 2.

Then:

y = 2x + b.

Point (20,4) is replaced in the equation and used to find b, hence:

4 = 2(20) + b

b = -36

Then the equation is given by:

y = 2x - 36.

When the weight is of 36 pounds, x = 36, hence the prediction is of:

y = 2(36) - 36 = 36 inches.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

Step-by-step explanation: Ruby caught a catfish 25 inches long

Round 21254 to the nearest thousand

Answers

Step-by-step explanation:

22000

.

.

.

.

.

is the correct answer

Answer:

21,000

Step-by-step explanation:

254 is less than 500 so you would round downwards. Or you can look at is as 2 (representing the 254) is less than 5 (500)


(a) Joydeep receives a normal hourly wage of $18.60 and time-and-a-half for
any overtime. On public holidays he receives double-time with a minimum
of 4 hours paid. What is his wage for a week in which he works 40 normal
hours,6.5 hours overtime and 3 hours on a public holiday?

Answers

Answer:

I'm sorry I don't understand you can give me anything other than math

The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
75
5
80
7
85
7
90
6
95
4

Answers

Answer:

84.5

Step-by-step explanation:

multiply score by number of students, add them, divide by total students.

If a = -3, find the value of
a) 2a
b) a^2
c) 3a^2

Answers

Answer:

a) -6

b) 9

c) 27

Step-by-step explanation:

[tex]2( - 3) = - 6 \\ { - 3}^{2} = - 9 \\ 3 {( - 3)}^{2} = 27[/tex]

[tex]\textbf{a)}\\\\2a=2(-3) = -6\\\\\textbf{b)}\\\\a^2 = (-3)^2 = 9\\\\\textbf{c)}\\\\3a^2 = 3(-3)^2 = 3 \cdot 9 = 27[/tex]

If the ratio of plums to peaches to kiwis is 10:4:5, how many plums are there if the total number of fruits is 190?
A. 50

B. 40

C. 104

D. 100

Answers

Answer:

D.100

Step-by-step explanation:

10+4+5=19

190/19=10

1 part= 10

plumes=10 parts
10x10= 100 plums are there

I need c and d answered badly

Answers

C. translated down 2 units

---The "-2" located on the outside of f(x) tells us that the y-values are being changed. With that, the graph can be moved up or down. The presence of the negative/subtraction sign tells us that the graph is moved down.

D. translated right 4 units

---The "-4" located with the x in f(x) tells us that the x-values are being changed. The only tricky thing about this is that the direction of the movement is actually the opposite of the sign. So with the negative/subtraction sign, the graph is moved to the right instead of the left.

Hope this helps!

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