Which function could be used to represent the sequence 8, 20, 50,
125, 312.5...., given that a, = 8?
(1) a, = 4,- 1 ta
(3) 4, = 4, + 1.5(, -1)
(2) a. = 2.5(
4-1) (4) 4 = (a), -1)
Answer: a = 2.5 (an-1)
Step-by-step explanation: trust me;)
The function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].
What is geometric progression?sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is as a geometric sequence of numbers.
Formula for nth term of geometric progression[tex]a_{n} =ar^{n-1}[/tex]
Where,
[tex]a_{n}[/tex] is the nth term of the sequence or geometric progression
n is the total number of terms
r is the common ratio
and a is the first term
According to the given question
We have
A geometric progression
8, 20, 50, 125, 312.5
Now the common ratio for the above progression is given by
[tex]r = \frac{20}{8} = 2.5[/tex]
And the first term is
a = 8
Therefore, the function which is used to represent the above sequence is given by
[tex]a_{n} = 8(2.5)^{n-1}[/tex]
Hence, the function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].
Learn more about geometric progression here:
https://brainly.com/question/4853032
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Find the 8th term of the geometric sequence whose common ratio is 3/2 and whose first term is 3
Answer:
51.2578125
Step-by-step explanation:
3 * (3/2)^(8 - 1)
3 *(3/2)^7
51.2578125
The sports stores price went up in 2013 a bat that cost $45 in 2012 now cost $55 what is the percent of change
Answer:
10/45 = 22.2% change in price
Step-by-step explanation:
new-old/old
If a = - 1 and y = 2 what is the value of the expression 2a³ - 3ay?
Answer:
the valve of the expression would be 184
Step-by-step explanation:
Got it right on edge
HELP!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 6/5
Step-by-step explanation:
Slope = Rise/ Run
=6/5
Can I get some help with these questions?
Answer:
For the first question its X=110 For the second question angle AEF is 75 degrees and for angle ADF is 105 degrees
Step-by-step explanation:
the total angle is 150 so take 4+22 and you get 26 then add 6+8 and you get 14 add 26+14 and you get 40 do 150-40 and you get 110 therefore x=110
please help me!!!!!!!!
Answer:
Step-by-step explanation:
Option a,c,e,f,i,j are quadratic equations. (Because its degree is 2)
Option b,d,g are linear equations. (Because its degree is 1)
Just option h is not quadratics nor linear.
If you need to ask any questions, please let me know.All of the following are equivalent, except _____.
3x
2x 2
x(2 + 1)
2x + x
Which expression is equivalent to 1/2(4x+8)? Answer choices: A. x + 4 B. 2x+4 C. 2x+8 D. 4x+4. Please provide explanation as well!
I need help in algebra
Answer: 8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
How to solve
× + 5 = 13
subtract from both sides of the equation.
× + 5 - 5 = 13 - 5
13 - 5= 8
please give me brainliest and a thanks.
Write seven million two thousand five hundred in standard form
Answer:
Seven million two thousand five hundred in standard form is 7002500
Answer:
Step-by-step explanation:
In words=7,002,500
In standard form:
7.0025×[tex]10^{6}[/tex]
If you need to ask any questions, please let me know.Is (3, 8) a solution to the equation y = 2x - 1? Explain your answer.
Answer:
No, because 2x3 - 1 =5, which proves it is incorrect
Step-by-step explanation:
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
5\12
There are 84 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answer:
49 red marbles
Step-by-step explanation:
We should first make 5/12 have a base of 84, so that'll be
(5*7)/(12*7)=35/84. So we have 35 blue marbles and all the rest are red, so 84-35=49
DUBS
Please consider giving me a brainliest! Thank you.
Ed is on a road trip. He has already traveled 229 miles and is driving at a rate of 68 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 647 total miles?
A.
68x + 647 = 229
B.
229x + 647 = 68
C.
68x + 229 = 647
D.
229x + 68 = 647
Step-by-step explanation:
THE ANSWER IS D BUT ME 8S NOT SURE
what is the best guess the weight of the cube if the length in 9 inches ?
The mean age of 8 women in an office is 19 years old.
The mean age of 5 men in an office is 18 years old.
What is the mean age (nearest year) of all the people in the office?
Answer:
19
Step-by-step explanation:
(8*19+5*18)/(8+5)=242/13=18 8/13
round
19
Dak Prescott worked 40 hours last week at his regular $12.50 per hour rate. He got paid 2 times his regular pay for the 5 overtime hours he worked. What was his total gross pay last week?
Group of answer choices
$500
$625
$562.50
$510
500Step-by-step explanation:
I GIVE BRANLIEST. Question is on the bottom
Answer:
432
24*36
---------- = 432
2
PLEASE ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answer:
3/2
Step-by-step explanation:
Finding the slope of a line on a graph is easier if you can identify places where the line crosses grid intersections. We see two of those to be ...
(4, 1) and (6, 4)
The second of these points is 4-1 = 3 grid squares higher than the first point. It is also 6 -4 = 2 grid squares to the right. The slope is the ratio of these values:
slope = "rise"/"run" = 3/2
The slope of the graphed line is 3/2.
Why is it necessary for the differentiated cells to produce a mucus coating?
Mucus coating is required for multiple functions such as protection and dealing with substances or pathogens.
Cells differentiation occurs as cells changes from a basic type to a more specialized one. Some specialized cells include:
Muscle cells.Immune cells.Epithelial cells.Some of these cells including epithelial cells and mucous cells produce mucus. This particular substance has many functions but the most important are:
Protecting mucous membranes including the lining of organs such as the lungs.Trapping some substances, especially nocive substances to eliminate them later.Containing important substances the body requires.Learn more in: https://brainly.com/question/11289653
How to find the mode.
Step-by-step explanation: The mode is the number that appears most frequently in a data set. If no Number repeats at all, then there is no mode. A data set can also have multiple modes if different numbers repeat the same amount of times.
3 comic books for $6.75
Answer:
1 comic book for $2.25
Step-by-step explanation:
If 3 comic books are for $6.75, then 1 comic book will be $6.75 / 3 = $2.25, and there's your answer.
Tell me if I'm wrong :)
Answer:
$6.75/3= $2.25 per comic book
Step-by-step explanation:
Find and intercept the slope of this line.
Step-by-step explanation:
the 4th answer option is correct.
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
Please complete this question,
20 points will be given
100 if u get this right ty have a nice day!
Answer:
9
Step-by-step explanation:
2+4 over 2
x 3
= 9
Alexander and his friends are going into a restaurant. How much would it cost to buy 2 hotdogs and 40 chicken wings if each hotdog costs $4.00 and each chicken wing costs $0.50? How much would it cost to buy 22 hotdogs and 4040 chicken wings if each hotdog cost \$h$h and each chicken wing cost \$c?$c?
Express y²-16y+k as a perfect square.
Answer:
(y-4)(y+4)
Step-by-step explanation:
When you factor the y^2 you need to factor the rest of your equation. Your K does not exist since it is a perfect square and there is no c. Then you square 16 which is 4 so you have (y-4) (y+4). Hope this helps :)
1/2÷1/2÷1/2÷1/2÷1/2÷1/2÷1/2 solve
Answer:
7
Step-by-step explanation:
I used keep change flip, and repeated the process and got the answer.
Hope this helps! :)
Answer:
1/72
Step-by-step explanation:
1/2÷1/2÷1/2÷1/2÷1/2÷1/2÷1/2
1/2 * 1/2 * 1/2 *1/2 *1/2* 1/2 * 2/1
1/72
This scatter plot shows the height of a card tower and the amount of time used to build it (in minutes).
Based on the information in the scatter plot, what is the best prediction for the height of a card tower at 10 minutes?
Answer:
It’s 7 inches
Step-by-step explanation:
I hope this helps
Following the trend line of the scatter plot, the height of a card tower at 10 minutes, the best prediction that can be made given the answer options is:
5 inches.Recall:
A scatter plot can be used to make prediction as it shows how two variables are related.From the scatter plot given, it shows that as the amount of time increase, the height of the card tower also increases.
Therefore, following the trend line of the scatter plot, the height of a card tower at 10 minutes, the best prediction that can be made given the answer options is: 5 inches.Learn more about scatter plot on: https://brainly.com/question/20647477
solve pls brainliest
Answer:
Ture
Step-by-step explanation:
.5/.2 = 2.5
1/.4 = 2.5
1.5/.6 = 2.5
The answers are all the same after we divide each x values to the y values.
Hope this is helpful.
Answer:
True
Step-by-step explanation:
.5/.2 = 3.5
1/.4 = 2.5
1.5/.6 = 2.5
the answer is all the same after we devide each x values to the y values.