4. Does the following Infinite geometric series diverge or converge? Explain.
3 + 9 + 27 +81 +
It diverges; it does not have a sum.
It converges; It has a sum.
It diverges; it has a sum.
It converges; it does not have a sum.
Answers
Answer:
It diverges; it does not have a sum.
Step-by-step explanation:
3, 9, 27, 81, ..
ratio = r = 9/3 = 3
since |r| ≥ 1, it diverges and doesn't have a sum
The solution is, the given series is divergent and it has a sum infinity.
Option (A) is CORRECT. i.e. It diverges; it does not have a sum.
What is geometric series?A geometric series is a series in which the division of any consecutive two terms will be the same.
here, we have,
We are given to check whether the following infinite geometric series diverge or converge :
given that,
3 + 9 + 27 +81 +....
We know that
an infinite geometric series diverges if the modulus of the common ratio is greater than 1.
For the given geometric series, the common ratio r is given by
r = 9/3
= 3
So, we get
r = 3 > 1
Therefore, the given infinite geometric series diverges.
Also, we know that the sum of a divergent infinite geometric series with first term a and common ratio r is given by,
the sum will be infinity.
For the given series,
it does not have a sum.
Therefore, the required sum will be infinity.
Thus, the given series is divergent and it has a sum infinity.
Option (A) is CORRECT. i.e. It diverges; it does not have a sum.
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Related Questions
hi! i’ll give brainliest please help
Answers
Answer:
Is it deposition
Step-by-step explanation:
On friday a local burger shop sold a combined total of 336 ham burgers and cheese burgers. The number of cheese burgers sold was two times the number of hamburgers sold. How many burgers were sold on friday?
Answers
x+3x=336
4x=336
x=84
3x=252
Which angles are vertical angles and, therefore, congruent? 3 lines intersect to form 8 angles. From top left, clockwise, the angles are A, B, C, D, H, G, F, E. Angle A and Angle D Angle A and Angle G Angle A and Angle E Angle A and Angle F
Answers
Answer:
A and F
Step-by-step explanation:
Given
Intersecting lines
Required
The vertical and congruent angles
The two vertical lines are not parallel. So, we cannot conclude any relationship between angles A, B, E, F and angles C, D, H, G
Comparing angles A, B, E and F; we have:
[tex]\angle A = \angle F[/tex] --- Vertical opposite angles
[tex]\angle B = \angle E[/tex] --- Vertical opposite angles
From the given options,
[tex]\angle A = \angle F[/tex] is true
it’s two different answers but i need help !!
Answers
Answer:
use this to help you determine your answer
Step-by-step explanation:
Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. ... and another pair of corresponding sides are equal in two right triangles.
Which type of insurance covers potential damages to a personal car?
A.
automobile insurance
B.
homeowners insurance
C.
renters insurance
D.
travel insurance
Answers
The Object in question is a car, hence the type of insurance cover is
A. automobile insurance
Insurance of VehicleMotor Vehicle Insurance
This is a type of insurance that car owners purchase to cover for damages that may occur to their vehicle.
There are basically two type of Vehicle insurance
Comprehensive InsuranceThird Party InsuranceLear more about insurance of vehicle here:
https://brainly.com/question/25855858
Answer:
Renter's Insurance
Step-by-step explanation:
HELP I CANT FAIL AGAIN
Answers
Answer:
49
Step-by-step explanation:
pls answer thank you
Answers
435.6
mark me brainliestt pls :)))
Explanation:
Area of square = s x s = 11 x 11 = 121 cm2
Area of triangle = 1/2 x b x h = 1/2 x 11 x 13.2 = 72.6 cm2
Area of 4 triangles = 72.6 x 4 = 290.4 cm2
Total surface area = 121 + 290.4 = 411.4 cm2
8. Solve the equation
x² - 1 = 48
Answers
Answer:
x^2-1=48
x^2=48+1
x^2=49
x=[tex]\sqrt{49}[/tex]
x=7
Step-by-step explanation:
Ryan works part-time at a local department store.He earns 12.50 an hour . During a one week period he worked a total of 32 hours. What was Ryan's gross income for one week
Answers
Answer:
400
Step-by-step explanation:
12.50times 32
Garret starts his homework 5:30. he spends 20 minutes on reading and 15 minutes on math.
At what time does Garret finishes his homework?
Answers
so I think the answers ~ Garrett finishes his homework at 6:05.
only thats not an option so choose E because its the closest
hopefully this helps!!!
PLEASE HELP!! WILL MARK BRAINLIEST IF CORRECT! Given the point (5, 12), apply the rule and tell the image after the translation as an ordered pair with no spaces.
(x,y) --> (x + 2, y - 7)
Answers
Answer:
(7, 5)
Step-by-step explanation:
(5,12)
x : 5 + 2 = 7
y : 12 - 7 = 5
(7,5)
The value of (x, y) --> (7, 5).
What is an ordered pair?
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.
Given point is (5,12)
We have to solve for
(x,y) --> (x + 2, y - 7)
Now put x=5 in x+2
x = 5 + 2
= 7
and, y= 12 in y-7
y = 12 - 7
= 5
Hence, (x, y) --> (7, 5).
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CAN U HELP ME PLZ!!!! |
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Answers
Answer:
7.33
Step-by-step explanation:
what is the vertex of this quadratic?
Answers
Answer:
vertex = (3, 2 )
Step-by-step explanation:
The vertex is the turning point of the graph.
This occurs at (3, 2 ) ← vertex
Answer:
The vertex is at (3, 2)
Step-by-step explanation:
Hello!
VertexThe vertex of a parabola is the point of turning, or the minimum/maximum point of the parabola.
Since the graph opens up, the vertex is at the minimum point.
The y-value is 2, and the x-value is 3, giving us the vertex of (3, 2)
Other PartsThere are other parts to parabola than just the vertex.
Standard form of a quadratic: [tex]ax^2 + bx + c[/tex]
Other parts include:
Axis of Symmetry, the line where the parabola is exactly symmetrical, and when folded in half, the sides will match. It is found using the formula [tex]-\frac{b}{2a}[/tex]X-intercepts, also known as the roots or zeroes of the graph, is where the graph touches the x-axis. It is found using the quadratic formula:[tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]Y-intercepts, the point where the graph hits the y-axis. It is the "b" value in the equation.3.2/.8=
help pls
also the steps to doing it.
Answers
Answer:
4
Step-by-step explanation:
I don't really know how to show the steps, but one of the easiest ways to do this is to see how many times 0.8 goes into 3.2. So 0.8 + 0.8 + 0.8 +0.8 = 3.2 So 3.2/0.8 is 4
Or you can multiply the numerator and denominator by 10, which keeps the value of the fraction but gets rid of pesky decimals: 32/8 this should be fairly straight forward and a key reason to memorize your times tables. 8*4=32
A builder uses the ratio of 3 parts of cement to 12 parts of sand to make a mixture that holds bricks together . How many parts of cement does the builder use for each part of sand ?
Answers
Answer:
1/4 parts of cement
Step-by-step explanation:
Given :
3 parts of cement = 12 parts of sand
For each part of sand, let the part of cement used = x
Writing the relation in the form of cross multiplication :
3 = 12
x = 1
Cross multiply :
12x = 3
x = 3 / 12
x = 1/4
Hence, for each part of sand, 1/4 parts of cement is used.
PLS HELP THIS IS MY FINALS
Answers
[tex]\boxed{c.\:n\:=\:18}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{6}{n} = \frac{14}{42} \\ ⇢ n = \frac{6 \times 42}{14} \\ ⇢ n = \frac{252}{14} \\ ⇢ n = 18[/tex]
[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]
[tex] \frac{6}{n} = \frac{14}{42} \\ ⇢ \frac{6}{18} = \frac{14}{42} \\ ⇢ \frac{1}{3} = \frac{1}{3} \\ ⇢ L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]
the answer should be c
PLEASE HELP ASAP FAST HURRY
The graph below shows the relationship between the number of tickets sold for a music concert and the amount of money collected from the sale of the tickets. (1 pt.)
Which equation represents the relationship between the tickets sold (t) and the money collected (c)?
Answers
Center Middle School is having a pie eating contest and needs a team consisting of 5 people from Mrs. Brown's classroom. There are 20 students in Mrs. Brown's classroom. How many different teams could be formed?
Answers
The number of teams formed by the total number of students will be 4.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that centre, Middle School is having a pie eating contest and needs a team consisting of 5 people from Mrs Brown's classroom. There are 20 students in Mrs Brown's classroom.
The number of teams will be calculated as,
N = 20 / 5
Therefore, the number of teams formed by the total number of students will be 4.
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product of 3 and e in algebra
Answers
Answer:
3e
Step-by-step explanation:
Click on the graph below to create a quadrilateral with vertices at the following points
(8,0), (8,7), (0,0), (2, -6)
Answers
Answer:
Look at the picture for the answer :D
Step-by-step explanation:
The x coordinate comes first, then the y.
Y-intercept for y=x2+6x-27
Answers
Answer:
y-intercept is -27
Step-by-step explanation:
Amy is baking her famous pies to sell at the Town Fall Festival. She uses 32 ¼ cups of flour for every 1 ½ batches of pie that she makes. How many cups of flour would Amy use for 7 batches of pie?
Answers
Answer:
150-1/2 (150.5) cups of flour
Step-by-step explanation:
We know there is a ratio of 32.25 / 1.5 (32-1/4 cups of flour for every 1 1/2 batches of pie that she makes). X is the unknown (as we are trying to solve for flour) so we can set up the problem as such:
32.25 = x
1.5 7
Now we cross multiply to solve:
1.5(x) = 7(32.25)
1.5x = 225.75 -- Simplify then divide both sides by x (to isolate the variable)
x = 150.5
Answer: She uses 32 ¼ cups of flour for every 1 ½ batches of pie
Let’s make it into whole numbers to start…
She uses 64 ½ cups of flour for every 3 batches of pie
She uses 129 cups of flour for every 6 batches of pie
She uses 129/6 cups of flour for every 1 batch of pie
She uses 7 x 129/6 cups of flour for every 7 batches of pie
= 150 ½ cups of flour
Anyone pls I need help plss
Answers
1 goes in the green space
70 goes in the gray space
==============================================
Explanation:
There are 5 gold and 350 total. That forms the fraction 5/350 which fully reduces to 1/70 after you divide both parts by the GCF = 5
A = 5, B = 350
A/GCF = 5/5 = 1 in the numerator of the final answerB/GCF = 350/5 = 70 in the denominator of the final answerThe fraction 1/70 can be thought of like saying "There's 1 gold coins in 70 coins total" or "there's 1 gold coin for every 70 coins".
Then we could scale up like so
1 gold : 70 total2 gold : 140 total3 gold : 210 total4 gold : 280 total5 gold : 350 totalHelp please the question is on the image
Answers
Answer:
2
Step-by-step explanation:
Find the number of solutions to the equation n -9 = n + 9.
Answers
Answer:
I think n=0 because
-9-9=n
0=n also as n=0
If your inequality has these signs, will you have an Opened or Closed circle on your number line graph? > or <
Answers
Answer:
it will be opened but if it's for the < and > with a line underneath each of them, the circle with be closed
what is street art and how do it help us share are cultures
Answers
Answer:
Street art can help us commute more interesting. It can make people cheerful surprised and happy. Street art is a form of artwork
Step-by-step explanation:
y u put this in math subject when this isn't even math?
What is the volume of the following rectangular prism?
8/3units
21/2units2
Volume =___ units3
Answers
Answer:
73.5
Step-by-step explanation:
Step 1: 21/2 divided by 2 = 21/4
Step 2: 21/4 times 21/4 times 8/3 =
Answer: 73.5
The green shaded box is there to show that that is the base are to find the two sides that were multiplied to get that do the first step. Then do your basic volume formula: length times width times height.
Which equation is equivalent to 6 (y+ 3) — 3 (у — 2) = 18?
A) 6у +3 — 3у – 2 = 18
B) 6у +3 + 3y – 2 = 18
C) 6y+ 18 — 3 — 6 = 18
D) 6y+ 18 — 3y + 6 = 18
Answers
Answer:
the answer is D
............
Answer:
The answer is (D)
Step-by-step explanation:
[tex]6(y + 3) - 3(y - 2) = 18 \\ 6y + 18 - 3y + 6 = 18 \\ [/tex]
Substitute 3x -4 for y in the equation 7x - 5y = 4.
Answers
Step-by-step explanation:
click the photo there is answer
Answer:
see explanation
Step-by-step explanation:
Substituting y = 3x - 4 into the equation gives
7x - 5(3x - 4) = 4 ← distribute and simplify left side
7x - 15x + 20 = 4
- 8x + 20 = 4 ( subtract 20 from both sides )
- 8x = - 16 ( divide both sides by - 8 )
x = 2
Substitute x = 2 into y = 3x - 4
y = 3(2) - 4 = 6 - 4 = 2