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

To make iced coffee, Sara puts her hot coffee into a refrigerator when it’s temperature is at 130 ℉ . The temperature of the coffee drops 4 ½ ℉ each hour. What is the temperature of the coffee after 5 hours?

PLEASE HELP I’M CONFUSED

Answers

To solve this all you need to do is multiply 4 1/2 x 5 and then subtract the Sun by 130°F. So 4 1/2×5 equals 22.5. 130-22.5=107.5. so the temperature of the coffee after five hours is 107.5°F.
If the coffee starts a 130 degrees and it cools if 4 1/2 degrees an hour and is in the fridge for 5 hours so 5 X 4 1/2 and that equals 22 1/2 so you would subtract 130 by 22 1/2 which would equal 107 1/2 degrees or 107.5 degrees

Select all ratios equivalent to 20:4 A. 8:1 B. 10:2 C. 15:3

Answers

Answer:

b 10:2 ,, c 15:3

Step-by-step explanation:

20:4 by dividing 4 from both sides you get the ratio

5 :1

so simplify the other ratios and find one that equals this one

A is already in simplest form 8:1

so it's refused

B 10:2 by dividing 2 from both sides you get the ratio 5 :1

C 15:3 by dividing 3 from both sides you get the ratio 5 :1

so both B and C are correct answers

Hope this helped! :)

B&C because the lowest you can go is 5:1 and if multiplied by 2 it’s 10:2 and times three is 15:3

Look at the graph of a function below.


Which set builder notation represents the domain of the function in the graph?

A. {y|−1≤ y ≤ 3}

B. {y|1 ≤ y ≤ 9 }

C. {x|−1 ≤ x ≤ 3}

D. {x|1 ≤ x ≤ 9}

Answers

Answer:

A. {y|−1≤ y ≤ 3}

Step-by-step explanation:

because

The Answer is A jsiaisisus

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).

1.) Last week, the price of grapes at the farmer's market was $1.50 per pound.
This week, the price has decreased by 15%. What is the price of grapes this week?

Answers

1.28
.85 x 1.5 = 1.275
OR
.15 x 1.5 = 0.225 // 1.5 - 0.225 = 1.275 or 1.28
$1.28

$1.50- 15% = 1.275 ( round up)

Select all ratios equivalent to 30:14 A. 6:4 B. 21:7 C. 60:28

Answers

Answer:

c

Step-by-step explanation:

30:14    The division isn’t proportional. 30/5 is 6 but 14/5 is not 4.

6.4

—————

30:14   Same here as above just now the 14 is proportional just not the 21.

21:7

—————

30:14     Finally! The 2nd ratio is twice the first!

60:28

Answer: hope this helps ♡

C. 60:28

Step-by-step explanation:

30:14

A. 6:4 → 30 ÷ 6 = 5 & 14 ÷ 4 = 3.5 (the answers aren't equal) 30:14 ≠ 6:4

B. 21:7 → 30 ÷ 21 = 1.4 & 14 ÷ 7 = 2 (the answers aren't equal) 30:14 ≠ 6:4

C. 60:28 → 30÷60 =0.5 & 14÷28 = 0.5 (the answers are equal) 30:14 = 60:28

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

Which graph represents the linear equation y equals one fourth x plus 1 on the coordinate plane?

Answers

Answer: It is the last graph you listed. y=1/4x+1 this means the slope is 1/4 and the y intercept is. The last graph matches this exact description.

Step-by-step explanation:

I believe it’s the second before last graph because the plus one in the equation represents a shift up of one unit which is represented and being that the slope (rise/run) is 1/4, it also shows how you reach the next point by running 4 units to the right and rising one unit up.

MATH MATH MATH MATH MATH MATH

Answers

Answer: Y = 3/8

Step-by-step explanation:

You can either use the rise/run method or subtract 2 points from the line to get the slope. You can do the rise/run method by starting at a point that is on the corner of the square and keep counting how many spaces you have to go until you get to the next even point. This number will be on the bottom, then count up until you get to that even point,this amount of spaces this takes will be on top. Since there are only 2 visible points on this graph,I will use the other method. You can use either the y1-y2/x1-x2 formula or do this

8,3

0,0

8,3  
Remember,the y goes on top! Our slope is 3/8,also since the y intercept is the orgin/0,0 we don't need to add it at the end. I hope this helps and wasn't too complicated!

y =  3/8(x) is the equation that represents the proportional relationship in this graph, for y in terms of x.

What is proportional?

In mathematics, two sequences of numbers, frequently experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, known as the coefficient of proportionality or proportionality constant.

If corresponding elements in two sequences have a constant product—also known as the coefficient of proportionality—then the two sequences are inversely proportional.

This definition is frequently broadened to include associated varying amounts, also known as variables.

We can see that when y = 1.5, then x = 4

And when y = 3, x = 8

Putting the value in slope form

y - y1 = m(x - x1)

3 - 1.5 = m(8 - 4)

1.5 = m(4)

m = 1.5/4

m = 3/8

Now simply we put the value in y-intercept form

y - 3 = 3/8(x - 8)

y = 3/8(x) - 3 + 3

y =  3/8(x)

Learn more about proportional

https://brainly.com/question/7096655

#SPJ1

Can I please have help with this

Answers

4x+2+2x+10 = 90

6x + 12 = 90

x = 90-12/6

= x = 13

MARK ME AS BRAINLIEST

Answer:

x= 13

Step-by-step explanation:

4x+2+2x+10=90

collect like terms

4x+2x+10+2=90

6x+12=90

collect like terms again

move 12 to the other side then the sign will change to minus -

6x=90-12

6x=78

divide both sides by 6

6x/6=78/6

x=13

A 3ft baby elephant standing next to a man casts a 7ft shadow, if the man casts a 14 foot shadow, how tall is he?

Answers

Answer:

6ft

Step-by-step explanation:

First you figure out 7/3 which is 2.3333333...

then do 14/2.33333333...

3ft length=7 shadow 7 goes perfectly into 14 2 times. So 3•2= 6ft The man is 6ft tall

Enter the correct sum in each box. Use the number line to help you.


(A) 4.6 + (–5.9)
_________
|_________|

(B) –4.4 + 6.2
_________
|_________|

(C) 2.1 + 0.5
_________
|_________|

(D) –3.8 + (–1.3)
_________
|_________|

Answers

Answer:

(A) 4.6 + (–5.9)

-1.3

(B) –4.4 + 6.2

1.8

(C) 2.1 + 0.5

2.6

(D) –3.8 + (–1.3)

-5.1

Help me find the answer to this please!!

Answers

Answer is y=6x

Explanation


When you have a graph, you can find the slope or coefficient next to x, by finding rise over run on the graph or using slope formula.

On the graph, from 0, 0, we go up or rise +6 and go right or run +1. Slope is 6/1 or 6.

Or, you have (0, 0) and (1, 6) as two definite points. Using slope formula
y2 - y1 over x2 - x1

6 - 0 over 1 - 0 = 6/1 or slope of 6.

Y=6x I think. Have a good day

Elle has just opened a boutique clothing shop. Because of the startup costs, for the next month her net earnings for an outfit is −$6.75. On Saturday during that month, she sold 7 outfits. What are Elle’s net earnings for Saturday?

PLEASE HELP ME

Answers

Answer:

$47.25

Step-by-step explanation:

Add $6.75 7 times

The answer isssss $47.25
Explanation:

Select all ratios equivalent to 16:12 A. 12:9 B. 4:24 C. 48:36

Answers

Answer:

A, B, and D

Step-by-step explanation:

there all equal to 1¯3

Answer:

A - 12:9 and C - 48:36 are your answers

Step-by-step explanation:

16:12 can be simplified to 4:3 (by diving both numbers by 4)

You can see that 12:9 and 48:36 also equal to 4:3 when fully simplified.

If you have 10 friends and make two equal teams, what fraction do you use?
Its not 10/2 guys

Answers

Answer:

Step-by-step explanation:

5/5 would be the answer (I think)

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

Hallie and Mattie donated blue jeans to the clothing drive. Hallie donated 4 pairs of blue jeans. Mattie donated 6 pairs of blue jeans. Write a ratio to represent the relationship between Hallie's donation of jeans and Mattie's donation of jeans.

Answers

Answer:

2:3

Step-by-step explanation:

Hallie's Donation : Mattie's Donation = 4:6

simplified, it is 2:3

2:3

If you do 4/6 you’ll simplify to get 2/3.

A right triangle has one leg with a length of 5 units. The hypotenuse is 30 units long. What is the length of the other leg?

A. 5 Units

B. 25 Units

C. V 875

D. V 375

Answers

Answer: C. [tex]\sqrt{875[/tex]

Step-by-step explanation:

use Pythagorean theorem [tex]a^{2}+b^{2}=c^{2}[/tex]

a=5 c=30 solve for b

[tex]25+b^2=900[/tex]

subtract 25 from both sides to get [tex]b^2 =875[/tex]

then square both sides to get [tex]\sqrt{875[/tex] for the length of the other leg

i believe the answer is v 875

Can somebody please help me. All you have to do is write an equation for a problem and answer questions about it! (I will give brainliest to whoever can answer it!)

Answers

Sorry, I not that good at math
2X = 14.62. The value of x is not equal to 14.62, it is less. x is equal to 7.31, so doubling X will give you your answer.

Garth sells baseball caps outside the stadium. The graph shows the number of caps sold and the income from the sales. It represents a linear function.

Which statement best describes Garth's income from selling these caps?

A. He gets $5.00 per cap.
B. He gets $25.00 per cap.
C. He gets $34.00 per cap.
D. He gets $12.00 per cap.

Answers

he gets 12 per cap

100/8 = 12.50
the answer should be d

HELP ME PLEASE W/QUESTION

Answers

Answer:No matter what, the wind doesn't go to the volcanic areas.

Step-by-step explanation: notice that no matter what time, the wind never goes near the volcanoes. thats because the heat is pushing it away.

…._______________\________________________……\\\\\\\\_____

helpppppppppp fastttttttttttttttttttttttttt

Answers

Answer: 8 x 6

Step-by-step explanation 8 x 6

because both integers meet at 8 horizontally, ND 6 VERTICALLY. THEREFORE THE ANSWER IS 8 X 6

The answer is 8x6 hope it’s correct

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)

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:

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 HELP! I WILL GIVE BRAINLY!! (if u troll ill report!)

A sports medicine major wanted to conduct an experiment to determine if there is a correlation between the members of the soccer team's leg strength and the time it takes for them to sprint 40 yards. He sets up the following test and records the data:

Answers

Answer:

Using linear interpolation on the interval [15,23] that would be

9.5 + (22-15)/(23-15) * (11.9-9.5) = 11.6

That is, since 22 is 7/8 of the way from 15 to 23, he should produce a value 7/8 of the way from 9.5 to 11.9

The correct answer is 11.9

I took the test, this is my third time answering this question.

I explained everything but all got erased, anyways the answer is 11.9

Can anyone help with this problem please?

Answers

4 squared + 10 squared

answer is square root of 116

Answer: D) √116 units

Step-by-step explanation:

√(4^2 + 10^2) = 10.770
√116 = 10.770

proportional or not proportional?

Answers

Answer:

Proportional

Step-by-step explanation:

The relationship is proportional because starting at (0,0) there's a constant rate between the number of plants and the number of roses. We can represent this proportional relationship as y=5x where k=5, the constant of proportionality.

Proportional
Hope this helps<3

please show on a graph so i can understand pleaseeeee

Answers

Answer:

Step-by-step explanation:

then you find the lcm of 7, multiple by 6^999 and divide by 4. Take your remainder and multiply by 3/4, then take your product and take it to the 6th power.

That is a graph what you show in question what do you need
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