Write a rule for the nth term of the sequence. Then find a..
3. 4, 20, 100, 500, ...

Write A Rule For The Nth Term Of The Sequence. Then Find A..3. 4, 20, 100, 500, ...

Answers

Answer 1

Answer:

Rule is 4(5)^(n-1).

a7 = 62500.

Step-by-step explanation:

This is a geometric sequence with a1 = 4 and r = 20/4 = 5.

a7 is 4(5)^(7-1)

= 4 * 5^6

= 62500.

Answer 2

the general form of the given sequence is a(n) = 4 * 5ⁿ⁻¹ and a(7) is 62500.

What is the geometric sequence?

A geometric sequence is a sequence of numbers that follows a pattern where the next term is found by multiplying by a constant called the common ratio, r.

Given a sequence  4, 20, 100, 500, ...

From the general formula of the nth term of the geometric sequence:

a(n) = arⁿ⁻¹

where,

a is the first term

r = ratio of two subsequent terms

in our case

a = 4

r = 20/4 = 5

thus, the general form of the given sequence

a(n) = 4 * 5ⁿ⁻¹

To find: a(7)

a(7) = 4 * 5⁶

a(7) = 62500

therefore, the general form of the given sequence is a(n) = 4 * 5ⁿ⁻¹ and a(7) is 62500.

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Related Questions

Each morning Tess chooses either a red ribbon or a blue ribbon at random to wear in her hair. What is the probability that Tess will choose a red ribbon on both Monday and Tuesday?​

Answers

Answer:

1/4 chance

Step-by-step explanation:

First you need to find the probability of Tess choosing a red ribbon.

1/2

Then you need to multiply that probability by the reciprocal of 2, which is 1/2

1/2 x 1/2 = 1/4

How is the solution set of the sentence below described?
x + 5 < 7


{all numbers less than }

{all numbers less than 2}

{all numbers less than 7}

{all numbers less than 12}

none of these

Answers

Answer:

{all numbers less than 2}

Step-by-step explanation:

x cannot be greater than 2, because it would go over 7

Answer:

{all numbers less than 2}

Step-by-step explanation:

x can only be 2 or lower to make the sentence true

How many significant figures does 4857.169 have?

Answers

Answer:

Significant Figures

   7

   4857.169

Decimals

   3

   4857.169

Scientific Notation

   4.857169 × 103

E-Notation

   4.857169e+3

Words

   four thousand eight hundred fifty-seven point one six nine

Explanation: Mark Brainliest plz

Answer:

plz mark me as a brainliest i really need it

Step-by-step explanation:

4857.169

Sig Figs

7

4857.169

Decimals

3

4857.169

Scientific Notation

4.857169 × 103

E-Notation

4.857169e+3

Words

four thousand eight hundred fifty-seven point one six nine

Solve for x.



6x + 2 = 14

x = 12
x = 2 2/3
x = 2
x = 1 3/4

Answers

Answer:

x=2

Step-by-step explanation:

6x + 2 = 14

Subtract 2 from each side

6x+2-2 = 14-2

6x= 12

Divide by 6

6x/6 = 12/6

x=2

Answer:  x=2

Step-by-step explanation:

List all the intercepts for the graph shown and determine whether the graph is symmetric with respect to he x-axis, y-axis, origin, or none of these.
X-int: (___,0).
Y-int: (0,___).

Is it symmetric about the x-axis: yes/no
Is it symmetric about the y-axis: yes/no
Is it symmetric about the origin: yes/no

Answers

There are 3 x intercepts
(-2, 0) (0, 0) and (2, 0)

There is a y intercept at (0, 0)

Symmetric about x axis: No

Symmetric about y axis: No

Symmetric about the origin: Yes

Factor this polynomial completely.
x2 - 81

Answers

The first answer is right
(x - 9) (x + 9)
It’s me again lol

How do we say that the cost of rice and the quantity of rice we purchase are in inverse proportion?​

Answers

Answer:

Step-by-step explanation:

I don't think they are. It sounds like a direct proportion to me. The more rice you buy, the higher the cost.

Cost = k * quantity.

That would be the most general formula.

f(x) = -2x - 7 and g(x) = x+8/x find (g of f) (-7)

Answers

68/7

it the process

the total process is in above picture

Reason abstractly. Can the product of a
decimal number less than I ever be greater than the whole
number? Give examples to support your answer.
find the product 4.2(6 + 0.43).
HELP PLEASE

Answers

Answer: Yes. For example: (-2)*0.5 = -1 > -2

The product of 4.2(6+0.43) is 27.006

What does heredity mean?

DNA make RNA, and RNA makes proteins

a human genetic disorder

traits passed down from parent and grandparents to offspring

the process of DNA replicating into two strands

Answers

Traits passed down from parent and grandparents to offspring

Pls help how do I solve this?

Answers

multiply length by width ( 5 x 4.2x^2-3xy) to get 21x^2 -15xy as your final answer

Answer:

area is just multiplication of sides so..

(4.2x^2 - 3xy) (5)

= 21 x^2 - 15 xy

doneeeeee

I will give brainiest whoever is right thanks :)

Answers

In order to find more equivalent ratios you must multiply by 2 or more. 2 is easiest so

(2)7 and (2)3= 14:6
Thats is one equivalent ratio now 2 more.

14(2) and 6(2)= 28:12

Last but not least

28(2) and 12(2)= 56:24

For the explanation: they are equal because we are multiplying the numbers by the same numbers which allow them to be increased at the same rate. It is like we are unsimplifying a fraction.

4 – 2(x + 7) = 3(x + 5)

Answers

Answer:

x = -5

Step-by-step explanation:

4 – 2(x + 7) = 3(x + 5)

Distribute

4 - 2x-14 = 3x+15

Combine like terms

-2x-10 = 3x+15

Add 2x to each side

-2x-10 +2x= 3x+15+2x

-10 = 5x+15

Subtract 15 from each side

-10-15 = 5x+15-15

-25 = 5x

Divide by 5

-25/5 = 5x/5

-5 =x

Answer:

x = -5

Step-by-step explanation:

4 - 2(x + 7) = 3(x + 5)

so, let's do the multiplications. remember, when two terms are multiplied, then everything of the left is multiplied with everything on the right. and a "-" flips signs.

2(x + 7) = 2x + 14

3(x + 5) = 3x + 15

so, in total

4 - 2x - 14 = 3x + 15

now, we add combinable things together, and we can also move things from one side of the equation to the other (by adding our subtracting the same thing on both sides, so that the value of the expression remains unchanged).

-2x - 10 = 3x + 15

-25 = 5x

and now, what applied to adding and subtracting also aims to multiplication and division. again, it is important to do the same thing to both sides.

-5 = x

Find the mean of 9, 10, 3, 9, 2, 3 graphically.

Answers

Answer:

Mean=6

Sum of numbers= 30

Step-by-step explanation:

Consider the function f(x) = tan 1/3 (x + pi/1) - 1
Help With All PleAsE

Answers

Answer:

8. ☐ A Up

☑ B Down 1

☑ C Left [tex]\displaystyle \frac{\pi}{2}[/tex]

☐ D Right

7. [tex]\displaystyle 3\pi[/tex]

6. ☑ A x = −2π

☐ B x = −π

☐ C x = [tex]\displaystyle \frac{\pi}{2}[/tex]

☑ D x = π

5. [tex]\displaystyle y = -1[/tex]

Explanation:

[tex]\displaystyle y = Atan(Bx - C) + D \\ \\ \boxed{y = tan\:(\frac{1}{3}x + \frac{\pi}{6}) - 1} \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{6}}{\frac{1}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{3\pi} \hookrightarrow \frac{\pi}{\frac{1}{3}} \\ Amplitude \hookrightarrow N/A[/tex]

Here is all the information you will need. Now, what you need to know is that ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes. Second, to find the period in this case, you need to take a look at the distanse between each vertical asymptote. Now, accourding to this graph, on a universal scale of [tex]\displaystyle \frac{\pi}{4}[/tex] with a range of [tex]\displaystyle -2\pi\:to\:2\pi,[/tex] the vertical asymptotes are [tex]\displaystyle -2\pi = x\:and\:\pi = x.[/tex] From here, you will then find the distanse between these asymptotes by simply perfourming the operation of Deduction, and doing that will give you [tex]\displaystyle \boxed{3\pi} = \pi + 2\pi.[/tex] So, the period of this function is [tex]\displaystyle 3\pi.[/tex] Now, you will instantly get the jist of the horisontal shift by looking at the above formula. Just keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to what is given to you inside those parentheses. Finally, the midline is the centre of your graph, also known as the vertical shift, which in this case is at [tex]\displaystyle y = -1.[/tex]

Well, that just about wraps it up. Now that everything has been explained, you should understand it better. If you still have questions, do not hesitate to comment any you have.

I am delighted to assist you at any time.

Solve for M
-3+m/ 9 = 10

Answers

Step-by-step explanation:

-3+m/9=10

m/9=10+3

m/9=13

m=13×9

m=117

Note:if you need to ask any question please let me know.

Heelp ez question, just answer no steps needed

Answers

Answer:

i think 16 is the correct answer

Step-by-step explanation:

a

can someone please help me with this?

Answers

I think the given figure will help you....

Consumer Math

Which person uses the best cost saving strategy when deciding how to spend their money? A. Octavia bought the name-brand dish soap to be sure it was good quality. B. Jake paid the seller's full price for his used car to avoid someone else buying it. C. Tyrone waited for a sale so he could get a lower price on his new skateboard. D. Camilla bought her new computer immediately in case prices increased.

Answers

Answer:

I think c if not sorry

Step-by-step explanation:

C is the only one that makes sense

person uses the best cost saving strategy when deciding how to spend their money is Tyrone waited for a sale so he could get a lower price on his new skateboard.

The correct option is (C).

What is strategy?

Strategy is an action that managers take to attain one or more of the organization's goals. Strategy can also be defined as “A general direction set for the company and its various components to achieve a desired state in the future. Strategy results from the detailed strategic planning process”.

Considering the cost saving ,

Tyrone spends it in a better way cause he waits for the sale so that he could get the lower price for his new skateboard.

Other just look on the quality, first buyer, took the item in increased price.

Hence, Tyrone waited for a sale so he could get a lower price on his new skateboard.

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Which of the following describes h(x)=x^5-2x^3+x?
Answer choice is
A. h is an odd function
B. h is neither odd nor even
C. h is an even function

Answers

Answer:

h is an odd funtion

Step-by-step explanation:

this is because h(-x)=h(x)

Answer: A

Step-by-step explanation:

A sum of odd functions is a odd function

Proof:

[tex]h(x)=x^5-2x^3+x\\\\h(-x)= (-x)^5-2(-x)^3+(-x) \\\\=- x^5-2(-x^3)-(-x)\\\\=-(x^5-2x^3+x)\\\\=-h(x)\\\\So\ h(-x)=-h(x):\ the \ function\ h(x) \ is\ odd.\\[/tex]

3 2/9 - 2 1/2 pls help me I stuck it it due today

Answers

Answer:

[tex]\frac{13}{18}[/tex]

3 2/9 - 2 1/2 = 29/9 - 5/2 = 58/18 - 45/18 = 13/18

Find the area of the following quadrilateral.

Answers

Answer: 480

Step-by-step explanation:

The quadrilateral ABCD is a trapezium

The formula for area of trapezium is

Area of trapezium = 1/2 × (parallel side 1 + parallel side 2) × h

So we can place the given values into the formula.

We get

Area = 1/2 × (9+15) × 40

Area = 1/2 × 24 × 40

By multiplying all of them we get

Area = 480cm

Solve for A if
T = 3.14 and r = 3.
A = ar2
Enter the number that belongs in the green box
A = [?]

Answers

Answer:

28.26 is the correct answer

one half of a number plus 7

Answers

Answer:

1/2n + 7

n =  unkown number

Step-by-step explanation:

Answer:

1/2(x) + 7

Step-by-step explanation:

x= unknown number

write the statement factor theorem​

Answers

Answer:

According to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number, then, (x-a) is a factor of f(x), if f(a)=0. ... Also, we can say, if (x-a) is a factor of polynomial f(x), then f(a) = 0. This proves the converse of the theorem.

Seven teenagers were asked what they charge hourly for babysitting,

The results are shown below. What is the median of these prices?

$8.00, $8.50, $9.00, $9.25, $9.50, $10.75, $11.00

Answers

Median- is the middle value whereby the values are place in order (ascending)

$9.25 is the median of these prices

Pls Solve
4x+16=x+166​

Answers

Answer:

50

Step-by-step explanation:

4x+16=x+166

-x        -x

3x+16=166

    -16  -16

       3x=150

     /3     /3

       x=50

Answer :

50

Step-by-step explanation:

4x + 16 = x + 166

4x - x = 166 - 16 (Subsituation )

3x = 150

x = 150 / 3

x = 50 !

-t = 9 (t - 10)

what is t?

Answers

ANSWER:
t=9

EXPLANATION:
-t = 9t - 90
90 = 10t
t = 9

Answer: t = 9

Step-by-step explanation:

Given

-t = 9 (t - 10)

Expand parentheses and apply the distributive property

-t = 9 · t - 9 · 10

-t = 9t - 90

Subtract 9t on both sides

-t - 9t = 9t - 90 - 9t

-10t = -90

Divide -10 on both sides

-10t / -10 = -90 / -10

[tex]\boxed{t=9}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST ​

Answers

Answer:

Subtract four to get the next term.

Step-by-step explanation:

66 - 4 = 62

62 - 4 = 58

58 - 4 = 54

54 - 4 = 50

50 - 4 = 46

46 - 4 = 42

42 - 4 = 38

Answer:

B

Step-by-step explanation:

Subtract 4

Please Answer ASAP

The first term of a GP is 1, the sum of the third and fifth term is 90. Find the
common ratio.

Answers

hence, the common ratio of the given G.P. is 3 or −3.

Answer:

common ratio is -3 or 3

Step-by-step explanation:

[tex]u_1=1\\\\u_3=u_1*r^2=r^2\\\\u_5=u_1*r^4=r^4\\\\r^2+r^4=90\\\\r^4+r^2-90=0\\\Delta=1+4*90=361=19^2\\\\r^2=\dfrac{-1-19}{2} =-10 (exclude\ a\ square\ is\ positive)\\or\\r^2=\dfrac{-1+19}{2}=9\\r^2-9=0\\(r-3)(r+3)=0\\So\ r=-3\ or\ r=3\\[/tex]

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