The formula for any geometric sequence is an = a1 · rn - 1 , where an represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 4, 8, 16, 32, ...?

A. an = 4 · (1/2) n - 1
B. an = 2 · 4 n - 1
C. an = 32 · 2 n - 1
D. an = 4 · 2 n - 1

Answers

Answer 1

Answer: The correct answer would be

D. an = 4.2n-1

Step-by-step explanation: First, calculate the ratios between each term and the one that precedes it.

8/4=2 ....16/8=2...32/16= 2...

Upon comparing the ratios we see the ratio between each term and the one that precedes it is 2 for all the terms, the sequence is geometric, and the common ratio is r = 2.

Now, we simply need to find the other unknown values in the equation, a1= the first term of the sequence which is 4, Therefore a1=4

Looking at the options provided we see that no further missing quantity can further be found so we put this in the equation provided for a geometric sequence.

We get 4. 2n-1, which is our answer.


Related Questions

Calculate the Standard Deviation of the following set of data. 14, 15, 16, 16, 9, 3, 16, 20, 29, 12

Use the image below

Answers:
A) 46
B) 23
C) 7.66
D) 6.78

Answers

Answer: D

Step-by-step explanation:

Please help me ASAP thanks

Answers

They can buy 8!!


After taking away 2.75 from 98.75 they are left with exactly 96 dollars which you can divide by 12 to get 8
8
I don’t rlly feel like explaining mb

The table shows the statistics for the starting players after the first 15 games. PART A Use the table. Find the percent of free throws made by each player. Round to the nearest whole percent. [ table ]
Player
free throw attempted
Wilson 36
bartholdi 42
Johnson 22
garcia 29
o' malley 14
free throw made
WILSON 24
BARTHOLDI 37
jOHNSON 15
GARCIA 16
O' MALLEY 12
percent
Wilson 67%
artholdi 88%
jonhson 68%
garcia 55%
o' malley 86%​

Answers

Answer:

Step-by-step explanation:

Wilson-70%, artholdi-90%, jonhson-70%, Garcia-60%, o'malley-90%

round each of them to the nearest whole percentage (nearest whole number).

what are three ratios that are equivalent to 7:9

Answers

14:18, 21:27, and, 28:36

Joe must choose a number between 49 and 95 that is a multiple of 3 , 9, and 12 . Write all the numbers that he could choose. If there is more than one number, separate them with commas.

Answers

The first number 49 or larger that is divisible by 3 is 51 (17 * 3 = 51) so begin at 51 and count by 3's until you get to 95:51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93The first number 49 or larger that is divisible by 6 is 54 (6 * 9 - 54) so begin at 54 and count by 6's until you get to 95:54, 60, 66, 72, 78, 84, 90The first number 49 or larger that is divisible by 9 is 54 (9 * 6 - 54) so begin at 54 and count by 9's until you get to 95:54, 63, 72, 81, 90Now look for the numbers that are in all three lists

The only number that is a multiple of 3, 9, and 12 between 49 and 95 is 72

How can you use mental math and the inverse property of addition to find the sum [5.5+(-2.3)] +(-5.5 + 2.3)?

Answers

Answer:

To use mental math and the inverse property of addition to find the sum [5.5+(-2.3)] +(-5.5 + 2.3), you can use the following steps:

Rewrite the expression as [5.5+(-2.3)] +(-5.5) + 2.3.

Use the inverse property of addition to rewrite (-5.5) as 5.5, so the expression becomes [5.5+(-2.3)] +(5.5) + 2.3.

Use the inverse property of addition again to rewrite (-2.3) as 2.3, so the expression becomes [5.5+2.3] +(5.5) + 2.3.

Use the associative property of addition to rearrange the terms in the expression, so it becomes 5.5 + 2.3 + 5.5 + 2.3.

Use mental math to add the terms, which gives you a result of 15.8.

Therefore, the sum of [5.5+(-2.3)] +(-5.5 + 2.3) is 15.8.

Step-by-step explanation:

Answer:

15.8

I hope this help’s

what is 3/4 times (4,4) also what is 3/4 times (8,4)

Answers

Answer:

1.  (3,3)

2. (6,3)

Step-by-step explanation:

1.  [tex]\frac{3}{4}[/tex] × (4,4)

step 1. divide by the denominator

4 ÷ 4 = 1

step 2. multiply by the numerator

1 × 3 = 3

2.  [tex]\frac{3}{4}[/tex] × (8,4)

step 1. divide by the denominator

8 ÷ 4 = 2

step 2. multiply by the numerator

2 × 3 = 6

Hope this helps! ( * ^▽^)/

1) 12/16 or 3/4 simplified


Explanation—3x4 is 12 4x4 is 16 (12/16) to simplify 12 and 16 can both be divided by 4 so (3/4)


2) 24/16 or 1 1/2 simplified






Explanation— 3x8=24 4x4=16 (24/16)
These numbers can both be divided by 4 so 6/4 then create a mixed number to get 4 1/2 or 4.5!

helpppp fasttttttttt pleaseeeeeeeee

Answers

Answer:

4(x-1)+9=17

Step-by-step explanation:

3(-2x+1) + 5 = 3x-4-5x

expand

-6x + 3 + 5 = 3x-4-5x

-6x + 8 = -2x - 4

add 2x to both sides to put all x values + coefficients on one side

-4x + 8 = -4

subtract 8 from both sides to isolate x and its coefficient

-4x = -12

divide both sides by -4 to isolate x

x = 3

plug x=3 into each option to see if it works

1. 5(3+3)-4 = 30-4 = 26 != 10

2. 2(3+1) = 8 != 4

3. 4(3-1)+9 = 17 = 17

4. 4(3)+7 = 19 != 3+8 = 11

Number 3 I believe

Write the equation of the line. Giving Brainliest to the fastest and most explanatory answer!

Answers

y=1x-4
The 1 is the slope and slope is rise/run and it is up one over one, and the negative 4 is the b, which is also known as the y-intercept. You don’t need to find the x-intercept because it will not help you.

Hope this helps!

The equation of line shown in figure is,

⇒ y = x - 4

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (4, 0) and (0, -4).

Now,

Since, The equation of line passes through the points (4, 0) and (0, -4).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 4 - 0) / (0 - 4)

m = - 4 / -4

m = 1

Thus, The equation of line with slope 1 is,

⇒ y - 0 = 1 (x - 4)

⇒ y = x - 4

Therefore, The equation of line is,

⇒ y = x - 4

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

pls help me I need the help

Answers

Answer: 1/4, 16/3, 3

Answer is 1/4, 16/3, 3

proportional or not propotional?

Answers

The relationship is proportional.

In the table, we see a rate of change of 5 when multiplying by the bag of screws to get the price:

2 • 5 = 10
4 • 5 = 20
7 • 5 = 35

Because all of the equations are true, we know the relationship between the number of bags of screws and the price is proportional.

Answer: proportional

Step-by-step explanation:

if you divide 10 by 2 you get 5.

since 4 times 5 is 20 and 7 times 5 is 35

the table is proportional since there is a set rate of change

Snow fell in Newton twice in one day. The town received inch of snow in the morning and another inch of snow in the afternoon. How many total inches of snow fell in Newton on that day?

Answers

Answer : 1+1=2

Step-by-step explanation

1inch snow in am plus 1in snow in pm equals a total of 2in snow for that day.

the answer is 1+1=2 ok

please answer fast 20 pts



Your friend just returned to the United States from their trip to Nepal and wants to exchange their 9,362 Nepalese rupees for U.S. dollars. How many dollars will they receive if the current exchange rate is 1 U.S. dollar to 124 Nepalese rupees?


$11.69

$75.50

$93.62

$105.50

Answers

Answer:

Step-by-step explanation:

Your friend just returned to the United States from their trip to Nepal and wants to exchange their 8,153 Nepalese rupees for U.S. dollars. How many dollars will they receive if the current exchange rate is 1 U.S. dollar to 124 Nepalese rupees?

our friend will get $ 65.75 in exchange for 8153 Nepali Rupees.

Currency Exchange rate:

The price of the native currency relative to another currency is referred to as the foreign exchange rate. Comparing different currencies to demonstrate their relative values is the goal of international exchange.

The rate at which one currency is exchanged for another or the price of one currency expressed in terms of another currency is two additional definitions of the foreign exchange rate.                  

Here given that

Your friend is just returned from Nepal to the United States

And wants to exchange 8,153 Nepalese rupees for U.S. dollars

The current exchange rate is 1 U.S dollar = 124 Nepalese Rupee

Let us assume that your friend will get x dollars in exchange

As give that 1 dollar = 124 Nepalese Rupees

Then x dollars = x × 124 Nepalese Rupees

On a drawing, the scale is 1 centimeter to 30 centimeters. Which of the following is not correct?

A actual length = 330 cm; drawing length = 11 cm
B drawing length = 8 cm; actual length = 240 cm
C actual length = 150 cm; drawing length = 5 cm
D drawing length = 7 cm; actual length = 200 cm

Answers

Answer:

B

Step-by-step explanation:

The not correct one is B
Explanations:

The school that Ashley goes to is selling tickets to the annual dance competition. On the first day
of ticket sales, the school sold 5 adult tickets and 7 child tickets for a total of $152. The school
took in $86 on the second day by selling 5 adult tickets and 1 child ticket. Find the price of an
adult ticket and the price of a child ticket.

Answers

Answer:

children: $4.34

adult: $ 17.02

(this is very wrong)

What is the slope of the linear relationship shown on the graph?

A: negative two thirds
B: two thirds
C: negative three halves
D: three halves

Answers

NOT SURE!! but i think c negative three halves
C is correct. look at the point where the line meets then imagine the line and count rise over run.

* THANKS + 5 STAR + BRAINLIEST, ONLY TWO PEOPLE WILL ANSWER THIS QUESTION. I WILL DECIDE WHETHER YOU'VE PROVIDED A DESCRIPTIVE EXPLANATION AND ANSWERING FROM NOW TO AT LEAST AN HOUR LATER. *

please answer the last question below, thank you!

Answers

Answer:

38.88

Step-by-step explanation:

You first calculate the area of the entire skillet which is:

8 × 8 = 64

Then subtract the 64 by the area of both veggies burgers:

64 - 25.12 = 38.88

Main and helping words sorry i meant English
not math

Answers

Answer:

its in the link

Step-by-step explanation:

are there a list of verbs?

what is the answer to 9/10=8/a+6

Answers

Answer: 2.8, hope it helps.

Answer: 2.8 :) hope it helps I’m not rly good at this

please help I don't understand these thank you

Answers

Answer:The mean goes up from approximately 80.4 to 82.

Step-by-step explanation:

Before adding 101°, the mean i2:

(58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57)/12 = 80.4

After adding the value 101°, the mean is:

(58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57 + 101)/13 = 82

The mean goes up from approximately 80.4 to 82.

The mean goes up from approximately 80.4 to 82


Hope it helps :)

In each equation, select an operation to make the equation true by making the operation happen where the question mark appears.



PLEASE HELP ME

Answers

Answer:
The first one is +
The second one is x (multiply)
The third (I am not sure)
Forth is a - (minus)
Fifth is a - (minus)
And last (I am not sure)
Sorry
What is the questions it's wroooooooooon

Need help with this lol

Answers

Answer:

D

Step-by-step explanation:

Pythagorean Theorem: a^2+b^2=c^2

6^2+10^2=c^2

36+100=136(radical symbol)

Answer is D

Hope this helps :)

Answer: hope this helps ♡

D) √136 ft.

Step-by-step explanation:

c = hypotenuse

a & b = the two other sides

a² + b² = c²

6² + 10² = c²

36 + 100 = c²

136 = c²

(11.6 = c)

Please help ASAP .....

Answers

Answer:

(n-2)2 is in the formula (a-b)2 = a2- 2ab + b2

correct it by writing (n-2)2 = (n2 - 2(n)(2) + 2 raise 2)

Answer:

-2 * -2 = 4, but Maryam put -4 instead.

Loren and Julie have different part time jobs after school. They are both paid at a constant rate of dollars per hour. The table below show Loren and Julie's total income (amount earned) for working a given amount of time.

Find the missing values in the Loren's tables above.
Separate answers by coma.Find the missing values in the Loren's tables above.

Answers

Answer:

Step-by-step explanation:

Julie's income for 16 hours is $192. Julie takes only 24 hours to earn $288. The rate is $12 for each hour.

Given

Loren and Julie have different part-time jobs after school.

They are both paid at a constant rate of dollars per hour.

The income of Julie is $36 in 3 hours.

For 1 hour, Julie earns $12.

Thus the rate of Julie is $12 per hour.

For the 16 hours, Julie's income will be.

Julie's income for 16 hours = 12 x 16

Julie's income for 16 hours = $192

Julie's income for 16 hours is $192.

Julie takes time to earn $228 will be

Thus, Julie takes only 24 hours to earn $288.

Loren earns $126 for 14 hours of work, and $144 for 16 hours of work. This is because she earns 9 dollars for every hour she works
Julie earns $72 for 6 hours of work, and $252 for 21 hours of work. This is because she gets paid 12 dollars for every hour she works

What is the maximum number of 2cm cubes that can fit into a box measuring 10cm by 8cm by 5cm?

Answers

Answer: The volume of box is 6×8×10 cm^3

All of 6,8 and 10 are divisible by 2 so your cubes will fill the box, the volume of the cube is 2×2×2=8 cm^3 divide the volume of the box by 8; number of cubes fitting in the box is 6×10=60

Step-by-step explanation:All of 6,8 and 10 are divisible by 2 so your cubes will fill the box, the volume of the cube is 2×2×2=8 cm^3 divide the volume of the box by 8; number of cubes fitting in the box is 6×10=60

Answer:

50 cubes

Step-by-step explanation:

The maximum number of 2cm cubes that can fit into a box measuring 10cm by 8cm by 5cm is 50 cubes.

You can find this by dividing the total volume of the box (10 x 8 x 5 = 400 cm^3) by the volume of a single cube (2 x 2 x 2 = 8 cm^3). So 400cm^3 / 8cm^3 = 50 cubes.

Hence, The maximum number of 2cm cubes that can fit into a box measuring 10cm by 8cm by 5cm is 50 cubes.

OMG PLEASE HELP MEEEE I NEED TO GET MY GRADE UP

Answers

Here is some answers I got!

section one - simplify
E - 35
I - 51
A - 168
Y - 18
T - 140 (I couldn’t tell if the last symbol was addition or division! This is if it’s addition.)
E - 7
P - 19

_____

section two - simplify
A | 6
T | 16
D | 0
W | -2

Sorry if any are incorrect. The image is blurry and this was rushed. Hope this still helps!

PLLLSSS HELP DUE TOMMOROW




9. If the area of a rectangle can be expressed as 36x + 24 square inches, write two
possible options for the expressions of its length and width.
If ito longth can be


Answers

Answer:By the formula for the area of a rectangle. Because length = 2 times width. Simplify. So w = -4 or w = +4. Obviously, having a negative width is nonsensical

Step-by-step explanation:

The w would be + or - 4. Since you can not have a - side, it would have to be positive 4.

-2.9 is the __________________________ of 2.9 .

Answers

Answer:

I think its opposite

Answer: opposite

Step-by-step explanation:

A $90 flannel shirt is on salle for 30% less for fall shoppers. What is the sale price of the warm winter flannel shirt?

Answers

Answer:

The sale price of the flannel shirt is $63.

The sale price should be $63.

The elevation of a small submarine changes by -3/8 mile after each exploration. After how many explorations will the submarines elevation have changed by -1 1/2 miles?


PLEASE HELP

Answers

The answer will be 4 exploration because -1 1/2 divided by -3/6 is 4
The answer is 4
Explanations:
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