Find an explicit rule for each geometric sequence using subscript notation. Use a calculator and round your answer to the nearest tenth if necessary.

The fourth term of the sequence is 234. The sixth term is 104.

The explicit rule for the geometric sequence is an

Answers

Answer 1

Step-by-step explanation:

Geometric sequences are of the form a * b^x, where a and b are real constants.

We have a * b⁴ = 234 and a * b⁶ = 104.

Dividing the second equation by the first,

we get b² = 4/9, so b = 2/3.

When x = 4, a * b⁴ = 234.

=> a * (2/3)⁴ = 234, a = 1184.625

Hence the explicit rule

is a(n) = 1184.625 * (2/3)^n.

Answer 2

Answer:

Hence the explicit rule is a(n) 1184.625 *(2/3)^n.


Related Questions

A skateboard costs $240. The sales tax on the skateboard is $12. What the percent of the sales tax?

Answers

Answer:

5%

Step-by-step explanation:

12 divided by 240 is 0.05, which is a PERCENTAGE FRACTION (as I like to call it).

This means that you can easily make this into a percentage.

Example Percentage Fractions:

A whole number, like 1 for example, is 100% or more.

The number 1 is 100%, and 2 is 200% and 4.25 is 425%

But since 12 divided by 240, in this problem, is 0.05, it is 5%.

Example are:

0.08 is 8%

0.02 is 2%

0.43 is 43%

0.79 is 79%

It's pretty simple.

Sorry if this isn't very good, I'm not a good teacher XD

Hope this helps :D

Which equation is equivalent to 12crt x+15 = 36?

Answers

Answer:

Step-by-step explanation:

[tex]12\sqrt[3]{x+15} = 36\\\\[/tex]

Divide both sides by 12

[tex]\frac{12\sqrt[3]{x+15}}{12}=\frac{36}{12}\\\\ \sqrt[3]{x+15} =3[/tex]

Answer:

the first option is correct!!

What Is The Estimated Weight Of Three Containers Weighing 1.656 kg each? (Math 5 Quarter 2, Week 5) I Need A Nice And Clear Answer

Answers

Answer:

[tex]Estimate = 5.0kg[/tex]

Step-by-step explanation:

Given

[tex]Weight = 1.656kg[/tex]

Required

Determine the estimated for 3 containers

Since the weight of all containers are the same, we simply multiply the given weight by the number of containers.

i.e.

[tex]Estimate = Number\ of\ containers * Weight\ of\ each[/tex]

[tex]Estimate = 3 * 1.656kg[/tex]

[tex]Estimate = 4.968kg[/tex]

[tex]Estimate = 5.0kg[/tex] --- approximated

So, the estimated weight is 5.0kg

please help i’m stuck on my geometry hw. :(

Answers

Answer:

the reflection line would be x=k, so it would be (4,7) I believe, I may not be correct since I haven't done these for a while.

Step-by-step explanation:

Simplify the following question
x+9-10=500

Answers

Step-by-step explanation:

x+9-10=500

x-1=500

x=500+1=501

Step-by-step explanation:

solution

here,

given,

x+9-10= 500

or, x-1= 500

or, x= 500-1

or, x= 499

hope this helps u...

ABCD is a quadrilateral.
a) Calculate the value of x.
to
+
D
1380
12x°
b) When ABCD is drawn to scale, would
the lines AD and BC be parallel or not? A
You must justify your answer without
using a scale drawing.
B
Diagram not drawn to scale
+

Answers

Answer:

Step-by-step explanation:

∑ angles = 360°

2x + 90 + x + 3x = 360

6x = 270

x = 45°

:::::

∠A = ∠B, so AD and BC are parallel.

Help please

Look at picture

Supplementary angles

Answers

Answer:

Both are supplementary angles so

(2x-3) +71 = 180

2x - 3= 180 - 71 = 109

2x = 109 +3 =112

X = 112 / 2= 56

x = 56

Question 2 of 5
What value(s) of x will make x2 = 36 true?
O A V6
B. 8 and -8
C. 6
D. 6 and -6

Answers

The answer should be C

Answer:

it was actually D i just got the question wrong because of that person

Step-by-step explanation:


[tex] {3}^{x ^{2 - 1} } = \frac{ {27}^{ - x} }{3 } [/tex]

Answers

Answer:

-1/4

Step-by-step explanation:

Find the product
5/8 of 24
A. 8
B.15
C.11
D.9

Answers

The correct answer for u is B, 15 :))

Answer:

15

Step-by-step explanation:

A concave octagon
B convex quadrilateral
C concave quadrilateral
D convex octagon

Answers

Answer: concave

Step-by-step explanation:

You have to spend less than $500 at the mall. Each pair of pants costs $25 and each shirt costs $10. Write an inequality to represent the situation. Let x represent the number of pants you buy and let y represent the number of shirts you buy.

Answers

Answer:

25x+10y<500

Step-by-step explanation:

Answer:

25x+10y<500

Step-by-step explanation:

25 times number of pants purchased plus 10 times number of shirts purchased must be less than 500

Mr Morris built a fence to enclose his yard he put 3/4 of the fence on Monday on Tusday he put up 1/6 of the fence and on wensday he put up the rest of the fence what portion of the fence on Wensday

Answers

Answer:Portion put up on Wednesday =1/12

Step-by-step explanation:

Since we are dealing with fraction

Let the total fence = 1 whole

such that fence put up on Monday = 3/4

and fence he put p on Tuesday = 1/6

Since he put up the rest on Wednesday, To find the portion put up we have that

Portion put up on Wednesday =Total portion of fence - ( Portion put up on Monday and Tuesday)

=1- ( 3/4 + 1/6)

= 1-  18+ 4/ 24

=1- 22/24

= 2/24

Portion put up on Wednesday =1/12

Answer:

Step-by-step explanation:

I RESLLY NEED THIS NOW

The simple interest owed on a loan of $5,600 after 4 years is $1,008. What percent
represents the annual interest rate on the loan? Record your answer on the grid.

Answers

An all-in-one account that includes savings, checking, borrowing, investing, and other financial services for a single fee; also called a cash management account.

A garden is made up of flowers and shrubs in the ratio 6:11. If there are 48 flowers in your garden, how many shrubs are there?
The answer, please ASAP

Answers

Answer:

Step-by-step explanation:

que tu hablas español¿

Levi buys eggs and lemons at the store.

• He pays a total of $29.33.

• He pays a total of $5.39 for the eggs.

• He buys 6 bags of lemons that each cost the same amount.

How much does each bag of lemons cost?

Answers

Answer:

Each bag of lemons cost $3.99.

Step-by-step explanation:

29.33 - 5.39 = 23.94

23.94 / 6 = 3.99

29.33-5.39
= 23.94
23.94/6
=3.99
Therefore each lemon is $3.99

Find Lowest common factor of following questions .
56, 42, 28​

Answers

Answer:

[tex]\boxed{\textsf{ The LCM of 56 , 42 , 28 is \textbf{ 168}.}}[/tex]

Step-by-step explanation:

We need to find out the LCM of 56 , 42 , 28 . So Lowest Common Multiple known as LCM is the lowest multiple which is divisible by all the numbers whose LCM is taken out . It can we done by two methods. Both of which are discussed in the attachment .

For complete solution kindly refer to the attachment .

Related Information :-

• HCF :-

It stands for Highest Common Factor . It is the highest numbers which divides out completely the numbers without leaving remainder of the numbers whose HCF is we are finding out .

Determine the domain and the range of the graph.

Answers

Answer:

Domain: (-∞,∞)

Range: -1

Step-by-step explanation:

Domain means the x-coordinates covered:

(-∞,∞)

Range means the y-coordinates covered:

Only -1 because there are no other existing y-coordinates.

The graph of h(x) = g(x + 5) has

Answers

Answer:

Step-by-step explanation:

Dupa ce a cheltuit in prima zi 0.4 dintro suma de bani iar in a doua zi o treime din ceea ce ia ramas. Damian mai poate cheltui 60 lei. Ce suma a avut initial?

Answers

Răspuns:

150 Lei

Explicație pas cu pas:

Fie suma inițială = x

Cheltuieli în prima zi = 0,4x

Cheltuieli pentru a doua zi = 1/3 (x - 0,4x)

Suma rămasă = 60

x = 0,4x + 1/3 (0,6x) + 60

x = 0,4x + 0,2x + 60

x = 0,6x + 60

x - 0,6x = 60

0,4x = 60

x = 60 / 0,4

x = 150 Lei

Find the SA if this Square Pyramid:

(Don’t forget all 4 sides of the square are the same length which also means all four lateral triangles will be the same area)

Answers

Step-by-step explanation:

Sa = b • h/ 2 = 5 • 11 /2 = 55/2 = 27.5ft²

Kaitlyn solved the equation 5y=15 and found answer to be y=75. In complete sentence or two, explain what kaitylns error was? What did she do wrong? What is correct answer? Show your work and explain reasoning

Answers

Answer:

3

Step-by-step explanation:

Instead of dividing, Kaitlyn multiplied both sides by 5. Divide both sides by 5 to get the y by itself and you get 3

Answer:

y=3

Step-by-step explanation:

She assumed y=75, but if y=75 then you would multiply 75×5 and that doesn't equal 15. To find y you would need to divide 5 from both sides. Therefore 15÷5 would be equal to y=3. Hope this helps!

Answer two questions about Systems A and B:System A x+3y=−9 2x+y=4 System B 3x+4y=−9 2x+y=4

Answers

Answer:

A=(21/5,-22/5) B=(5,-6)

Step-by-step explanation:

lions spend about 5/6 of their day sleeping. how many hours a day does a lion sleep? write an equation to model your work

Answers

Answer:

20 hours a day.  

Step-by-step explanation:

( 5 / 6 ) x 24 = 20

A boat travels 336 miles in 67
hours (with a constant speed).
How far can it travel in 58 hours
(with the same speed)?

Answers

Answer:

290.87 miles

Step-by-step explanation:

336 miles - 67 hours

x miles - 58 hours

Cross multiply

67x = 336 x 58

67x = 19488.

Divide both sides by 67

x = 19488/67

x = 290.87 miles

The Johnsons are having a family reunion and they want to order T-shirts. 36 people will be
attending the reunion. There will be twice as many children as adults at the reunion. Set up a
system of equations that represents the numbers of adults and children that are attending the
reunion and solve the system to figure out how many adult and child T-shirts they need to buy.
(hint: let a=the number of adults, and c=the number of children)

Answers

Answer:

a= 12, c= 24

The Solution:

a=?, c=?, No. of people attending=36

since c is twice as many as a, a= 2a

a + 2a= 36

3a= 36

(divide both sides by 3)

3a/3=36/3

a= 12

therefore, a= 12

since c is equals to 2a,

2a= 2(12)

2a= 24

therefore, c= 24

Last Year
5. The frequency table shows the scores from rolling a dice 10 times.
Score Frequency
1 2
2 2
3 1
4 0
5 3
6 2
work out the mean

Answers

Answer:

3

Step-by-step explanation:

The computation of the mean is shown below:

= Total sum ÷ number of observations

= (1 + 2 + 2 + 2 + 3 + 1 + 4 + 0 + 5 + 3 + 6 + 2) ÷ 12

= 31 ÷ 12

= 2.58

= 2.6

= 3

23h^3-46h^2-48+24h pls help

Answers

Answer:

(h−2)(23h^2 +24)

Step-by-step explanation:

23h  

3

−46h  

2

−48+24h

Do the grouping 23h  

3

−46h  

2

−48+24h=(23h  

3

−46h  

2

)+(−48+24h), and factor out 23h  

2

 in the first and 24 in the second group.

23h  

2

(h−2)+24(h−2)

Factor out common term h−2 by using distributive property. Polynomial 23h  

2

+24 is not factored since it does not have any rational roots.

(h−2)(23h  

2

+24)

solve for x: -1< x+3 <5

Answers

Answer:

Im not sure but i belive the answer is −4<x<2

Which one is prime 32,42,29,15

Answers

Answer:

29

Step-by-step explanation:

32 can be created from 4 x 8, so it is not.

42 can be created from 6 x 7, so it is not.

15 can be created from 5 x 3, so it is not.

29 cannot be created from any numbers multiplied.

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