Answers
Answer:
The general formula for nth term of given sequence is:
[tex]G_n = 54 . (\frac{1}{3})^{n-1}[/tex]
Step-by-step explanation:
Given sequence is:
54,18,6.....
In order to write the general formula of a sequence, first of all the common ratio has to be found. Common ratio is the ratio between consecutive terms of a geometric sequence.
[tex]Here\\a_1 = 54\\a_2 = 18\\a_3 = 6\\And\\r = \frac{a_2}{a_1} = \frac{18}{54} = \frac{1}{3} \\r = \frac{a_3}{a_2} = \frac{6}{18} = \frac{1}{3}[/tex]
The general formula is:
[tex]G_n = A_1 (r)^{n-1}[/tex]
Putting the values of a1 and r
[tex]G_n = 54 . (\frac{1}{3})^{n-1}[/tex]
Hence,
The general formula for nth term of given sequence is:
[tex]G_n = 54 . (\frac{1}{3})^{n-1}[/tex]
Related Questions
The temperature of a pot of water is 50⁰ F. The temperature rises 15⁰ per minute. Write an equation below in y=mx + b form to express this situation.
Answers
Answer:
The equation to express this situation is y = 15x + 50.
Step-by-step explanation:
Initially, the temperature of a pot of water is 50⁰, i.e. at after x = 0 minutes the temperature was, y = 50⁰.
And the temperature rises 15⁰ per minute.
So, after x₁ = 5 minutes, the temperature was, y₁ = 125⁰.
And similarly after x₂ = 10 minutes, the temperature was, y₂ = 200⁰.
Compute the equation to express this situation as follows:
[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\cdot (x-x_{1})\\\\(y-125)=\frac{200-125}{10-5}\times (x-5)\\\\y-125=15x-75\\\\y=15x-50[/tex]
Thus, the equation to express this situation is y = 15x + 50.
Nick bought 6 tickets to an air show if he spent 156 dollars how much did the tickets cost
Answers
Answer:
$26 dollars
Step-by-step explanation: when you divide 156 divided by 6 you get 26
Answer:
26 dollars per ticket
Step-by-step explanation:
156/6=26
26x6=156
Two sides of a triangle are 12 meters and 16 meters. What is the largest the third side can be?
A) 22 meters
B) 24 meters
C) 26 meters
D) 28 meters
Answers
Answer:
The largest third side would be 26 meters.
Option B is correct.
Step-by-step explanation:
We are given two sides of triangle 12 meters and 16 meters.
We need to find What is the largest the third side can be?
We know that the length of third side should be less than the sum of two sides of triangle
third side < length of first side + length of second side
third side < 12+16
third side < 28
So, the length of third side should be less than 28
We need to find the largest the length of third side can be: from options 22, 24 and 26. We would not consider 28 because length should be less than 28.
So, the largest third side would be 26 meters.
Option B is correct.
Hi there can you solve this math problem?
Is mayonnaise an instrument? 2+2=?
Answers
I think it’s.........781
Explanation
Answer:
Hi.
No Patrick, mayonnaise is not an instrument. Horseradish isn't either.
Step-by-step explanation:
2 + 2 = 4.
When you do 2 of something and add another 2 of something, you get 4 somethings.
I hope this helps!
what is the product of
(2x+3)(4x²-5x+6)
Answers
Answer:
24x^3-30x^2+36x
Step-by-step explanation:
you distribute.
(2x+3)(4x^2-5x+6)
distribute the 2x first
3(4x^2*2x-5x*2x+6*2x)
then simplify
3(8x^3-10x^2+12x)
then distribute again (I'm distributing and multiplying it out in this step)
24x^3-30x^2+36x
3 friends went to a coffee shop. Each of them got a muffin and two cups of coffee. The total cost of the order was $21.75. If a muffin is $3.25, write an equation to solve for c, the cost of 1 cup of coffee
Answers
Answer:I think it’s 3.25(3)+6c=$21.75, I’m not sure
Step-by-step explanation:
Use the elimination method to solve the system of equations. Choose the correct ordered pair.
5x - 2y = 9
3x + 4y = -5
Answers
Answer:
(1,-2)
Step-by-step explanation:
what is the value of this expression below when w=10 and x=7
10w-7x
Answers
Answer:
=51
Step-by-step explanation:
10w - 7x
10(10) - 7(7)
100 - 49
=51
7*7=49
Then subtract:
100-49=51
So the answer is 51
37,916,037,349 + 6,966,839 =
Answers
Answer: 37923004188 I used a paper to do this.
Step-by-step explanation: Have a blessed day!
Answer: 37,923,004,200
Step-by-step explanation:
Which word describes the relationship of the points (3, 1)
and (3, 6)?
O A) collinear
OB) parallel
OC) perpendicular
OD) coincident
Answers
Answer:
where is the diagram dude
i think u wolud be having a digram of it
A car traveling along a long straight highway at a constant speed passes a rest area. The distance d, in miles, the car must travel to reach the next rest area as a function of the time t, in hours, is modeled by d(t) = 100 - 65t . a) What does the 100 represent in the context of the problem? b) What does the 65 represent in the context of the problem?
Answers
Answer:
100 is the distance between that rest stop and the next 65 is the speed in which the car is traveling
Trick or treaters went trick or treating in their neighborhood,if there are 40 homes in the neighborhood and 3/4 of them were home to give out candy,how many homes did they visit
Answers
A circle is divided into 3 equal parts. What is the total angle measure of 1 part?
Answers
Answer:
120 degrees each
Step-by-step explanation:
360 degress divided by 3 = 120
I need help plz like ASAP
I will give you a Brainist if you answer first
Answers
Answer:
Step-by-step explanation:
The proportion of x/y is 8/1. And to solve your question the value of y when x is 10 is 1.25 .
The diagram shows a parallelogram.
2x
3x - 15
(2x24
2x
Work out the value of x.
Answers
Answer:
x=39
Step-by-step explanation:
It is a four sided thing so the sum of all angles is 360
hence
2x + 3x - 15 + 2x + 2x + 24 = 360
and
x will be 39
x - 15 = 24
x = 39
(2x + 24) + 2x = 180
4x + 24 = 180
4x = 156
x = 39
2x + (3x - 15) = 180
5x - 15 = 180
5x = 195
x = 39
Y'all I need HELPPPPPP
Answers
Answer:
x = 13
arc RQ = 160°
Step-by-step explanation:
The length of smaller arc RQ is twice of the inscribed angle it sees
(5x + 15) × 2 = 10x + 30
9x + 17 + 6x - 12 + 10x + 30 = 360° add like terms
25x + 35 = 360
25x = 360 - 35
25x = 325 divide both sides by 25
x = 13 now the measure of arc RQ
10x + 30 ➡ 10 × 13 + 30 = 160°
85 ÷5 jejeisisossjjxjsjsjskkskxkxkxo
Answers
Answer:
17
Step-by-step explanation:
Can anyone tell me the answer please ??
Answers
Sqrt 225 = a
let's see who is smart enough to answer this if you get it right you will get 48 points and the Brainiest crown thing
Answers
Answer:
J
Step-by-step explanation:
J is wht i think
Answer:
A ) Adding direction.
Step-by-step explanation:
1) Speed = Distance Time.
2) Speed = s t.
3) 1 m 1 s × 1 km 1000 m × 3600 s 1 h = 3600 m · km · s 1000 s · m · h = 3.6 km 1 h.
4) Speed = Distance Time.
5) Velocity = Displacement Time in a direction.
HELP MEEE. :)
giving out brainliest
Answers
Answer:
(5, 7)
Step-by-step explanation:
before the translation, A is (2, 5)
by adding 3 to A and 2 to y, we get (5, 7)
Answer plzzzz!!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?
Answers
Answer:
the answer is B
Step-by-step explanation:
We can visualize in this picture that there's angles that are facing each other and 2 sides one tops and one on the side.
Hi can someone please help me with this question!!!!! Please!
I will mark you brainlest
Answers
Answer:
C. 40
Step-by-step explanation:
Start with multiplying the 120 students who took the computing and networking courses with 1160 hours. 120 times 1160 = 139200
That means that 139200 hours of the 164800 hours are by the students who took computing and networking classes, so now we have to subtract.
164800 - 139200 = 25600
Now divide 25600 with 640, because 25600 is the hours for the business course. 25600/640 = 40
So there's 40 students
Can someone help me this is due today
Answers
Answer:
13 miles
Step-by-step explanation:
It tells us that her house is 5 miles from the Post Office. So we know that each unit on the grid is 1 mile. Lucy walks from her house to the post office to the bank. The shortest path is the hypotenuse of the right triangle. We have one side length. Now, we count the post office to bank's length. It is 12 miles. The Pythagorean theroem is a^2+b^2=c^2 so 5^2+12^2=c^2 Solving this, we get c=13. The shortest path is 13 miles.
If the technician charged $327.50, then the technician worked
hours.
Answers
Answer:
Idrk because you need to tell me the Hours
Step-by-step explanation:
Sorry :c But if you tell me more I m sure I could help :D
Shaq wants to buy a jacket that is 45% off. The original price is
$133.82.
What is amount of discount (nearest penny)?
What is the sale price (nearest penny)?
Answers
It is 60.219 but to nearest penny
Which of these representations could model the same relationship? Select ALL that apply
Answers
Answer:
the schedule and the algebraic expression
What is the interest you will pay if you borrowed $900 at 10% interest for 2 years?
Answers
Answer:
$180
Step-by-step explanation:
Simple interest formula:
I = R x T x P divided by 100
=(900 x 2 x 10) / 100
=18000 / 100 = 180
=$180
HELP ASAP DUE IN 5!!!!
The points in each table lie on a line. Find the slope of the line.
O 1/5
O 1
O 5
O None of the above
Answers
The shadow of a tower is equal to its height at 10.45 a.m. The sun’s altitude is
Answers
Incomplete question.
If the price of a shirt is $25, then express the price of n shirts.
A.$25/n
B.$25n
C.$25+n
D.$25-n
E.n/$25
Answers
Answer:
B. ($25n)
Step-by-step explanation:
Due to it being n shirts, the price is $25 plus itself n times.
Hence, the price is $25n.
Hope this helped!