Answers
Answer:
∑ (-1)ⁿ⁺³ 1 / (n^½)
∑ (-1)³ⁿ 1 / (8 + n)
Step-by-step explanation:
If ∑ an is convergent and ∑│an│is divergent, then the series is conditionally convergent.
Option A: (-1)²ⁿ is always +1. So an =│an│and both series converge (absolutely convergent).
Option B: bn = 1 / (n^⁹/₈) is a p series with p > 1, so both an and │an│converge (absolutely convergent).
Option C: an = 1 / n³ isn't an alternating series. So an =│an│and both series converge (p series with p > 1). This is absolutely convergent.
Option D: bn = 1 / (n^½) is a p series with p = ½, so this is a diverging series. Since lim(n→∞) bn = 0, and bn is decreasing, then an converges. So this is conditionally convergent.
Option E: (-1)³ⁿ = (-1)²ⁿ (-1)ⁿ = (-1)ⁿ, so this is an alternating series. bn = 1 / (8 + n), which diverges. Since lim(n→∞) bn = 0, and bn is decreasing, then an converges. So this is conditionally convergent.
Related Questions
Emma and Clair are planning to sell lemonade on their street. They have two recipes to choose from. Emma’s recipe calls for the juice of 5 lemons and 2 cups of water. Clair’s recipe calls for the juice of 2 lemons and 1 cup of water. Why will the first recipe taste more “lemony”?
Answers
Answer:
lemons is greater ratio
Step-by-step explanation:
cause the ratio is larger
lemons to water
5:2
2:1
simplify....
2.5:1
2:1
lemons is greater ratio
Answer:
Emma's recipe will be more "lemony"
Step-by-step explanation:
If you are to take Clair's recipe and multiply it x2 so that the common denominator (cups of water) is equal, it will show you that Emma's recipe has more lemons in it; therefore will be more "lemony"
Plzzzzzzz help right answer gets brainly
Answers
Answer:
C:"As time dragged on, she sang to pass the hours."
Step-by-step explanation:
Write an equation for the line that passes through (4, 5) and (6, 7).
|
Answers
Answer:
y=x+1
Step-by-step explanation:
The first step I took was to find the slope. A slope is equal to the rise over the run. The equation goes up 2 for every 2 it goes over, which means that the slope is 2/2 or 1. Then you need to determine the y intercept. I usually go about this by thinking logically about the problem. Because there is a point at (4,5) and the slope is 1, there must also be a point at (3,4) (2,3) (1,2) and (0,1) Because the x value in (0,1) is 0, we know that the y intercept must be 1, so I added 1 to the equation. The last step is putting it all together. We know that a linear equation is y=mx+b (m being the slope, b being the y-intercept) so the final equation is y=x+1
State all integer values of xx in the interval \left[-1, 5\right][−1,5]
Answers
Answe67
Step-by-step explanation:
Add. Simplify your answer.
4 4
— + — =
9 9
Answers
8
_
9
Please!!! Help me :((((
Answers
Answer:
1 mile
Step-by-step explanation:
(2) 3a-3b (3) 2ab+cd
Answers
Answer:
2: 4
3:32
Step-by-step explanation:
so you are first going to solve in the parentheses and then solve the exponents
what is the scale factor of the dilation
Answers:
A: 3
B:1/4
C:4
D:1/3
Answers
A state forest service is conducting a study of the people who use state-operated camping facilities. The state has two camping areas, one located in the mountains and one located along the coast. The forest service wishes to estimate the average number of people per campsite during a popular weekend when all sites are expected to be used. There are 50 campsites in the mountains and 100 along the coast. From experience, the forest service knows that most sites in the mountains contain from 1-6 people and most sites along the coast contain from 1-10 people. Suppose the forest service can afford to conduct 20 interviews (e.g. they can select 20 campsites) (because they are asking many other questions in addition to number of people using the campsite and they want to do the interviews in person).
Using Neyman allocation, how would you suggest they allocate the 20 interviews among these 2 strata to minimize the standard error of the estimate of the overall average number of people per campsite?
Answers
Answer:
Allocation: 4 samples should be from the mountain and 16 from along the coast.
Step-by-step explanation:
Neyman allocation is technique of sample allocation used in cases of stratified sampling.
The formula to compute the best sample size of each stratum is:
[tex]n_{h}=n\times \frac{(N_{h}\times SD_{h})}{\sum\limits^{k}_{i=1}(N_{i}\times SD_{i})}[/tex]
The information provided is:
[tex]N_{m}=50\\N_{c}=100\\n=20\\[/tex]
Compute the range for the number of people at the mountain campsite as follows:
[tex]R_{m}=6-1=5[/tex]
Then the standard deviation for the number of people at the mountain campsite will be:
[tex]SD_{m}=\frac{R_{m}}{4}=\frac{5}{4}[/tex]
Compute the range for the number of people along the coast campsite as follows:
[tex]R_{c}=10-1=9[/tex]
Then the standard deviation for the number of people along the coast campsite will be:
[tex]SD_{c}=\frac{R_{c}}{4}=\frac{9}{4}[/tex]
Compute the sample size for the mountain campsite as follows:
[tex]n_{m}=n\times \frac{(N_{m}\times SD_{m})}{(N_{m}\times SD_{m})+(N_{c}\times SD_{c})}[/tex]
[tex]=20\times \frac{(50\times (5/4))}{(50\times (5/4))+(100\times (9/4))}\\\\=20\times 0.2174\\\\=4.348\\\\\approx 4[/tex]
Compute the sample size for along the coast campsite as follows:
[tex]n_{c}=n-n_{m}=20-4=16[/tex]
Thus, 4 samples should be from the mountain and 16 from along the coast.
;))))))))))))))))))))))))))))))))))))))))))))))))))))))))
Answers
Answer:
;)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
Outcome:
Reported
Reason:
Sorry, but this isn't a question. It violates the Community Guidelines, and it isn't the purpose of Brainly. The purpose of brainly is to help people with homework or questions they have and rewards people who help other people. This question is giving free points to people regardless if they were a help or not.
Two years ago, Rita was three times older than Cheryl. In 3 years, Rita will be twice older than Cheryl. How old are the girls now?
Answers
Answer:
15 and 26
Step-by-step explanation:
Answer:
Rita is 17 years old and Cheryl is 7
Hope this Helps :)
Step-by-step explanation:
Please will give brainliest and thanks
Answers
Answer:
a
Step-by-step explanation:
Double negatives make a positive. Hope this helps!
PLEASE HURRRY!!!! WILL GIVE BRAINLIEST
Answers
Answer: $1150
Step-by-step explanation:
[tex]p +\frac{1p}{2} =1750[/tex]
[tex]\frac{2p}{2} +\frac{1p}{2} =1750[/tex]
[tex]\frac{3p}{2} =1750[/tex]
[tex]3p = 3450\\[/tex]
[tex]p = 1150[/tex]
There are 16 squares and 4 circles. What is the simplest ratio of circles to squares?
Answers
16:4 is your starting ratio. Start by finding your GCF, which for this set, is 4.
Divide both sides by 4.
This gives you 4:1 (4 squares to 1 circle)
Hope this helps!
the simplest ratio of the Squares to the circle is 4:1.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, There are 16 squares and 4 circles.
Since there are 16 squares for 4 circles
The ratio of the Squares to the circle = 16/4
The ratio of the Squares to the circle = 4/1
Therefore, the simplest ratio of the Squares to the circle is 4:1.
Learn more about ratios here:
https://brainly.com/question/13419413
#SPJ2
A student bought 11 pencils and a pad of paper.
The pencils each cost the same amount.
The pad of paper costs $4.99.
The student spent a total of $18.74, not including tax
Answers
Answer:
Each pencil costs $1.25
Step-by-step explanation:
$18.74 - 4.99=13.75
13.75/11=$1.25
You have to take the total amount and subtract how much the paper pad costs then you get 13.75 and that is how much the student paid for all 11 pencils so you divide it by 11 and you get $1.25
Which equation represents a line that passes through (2,-1/2) and has a slope of 3?
y - 2 = 3(x + 1/2)
y - 3 = 2(x + 1/2)
y + 1/2 = 3(x - 2)
y + 1/2 = 2(x - 3)
Answers
y+1/2=3(x-2)
Brainliest please??
Graph the line y=−3x+b if it is known that the graph goes through point:
b
B(5, 2)
Answers
Answer: y=-3x+17
b = 17
Find the perimeter of the figure below, composed of an isoceles trapezoid and one semicircle. Rounded to the nearest tenths place
Answers
I can't see the semi circle is that image. From what I see, the perimeter of the trapezoid is 41.
Explanation. To find the perimeter of a figure, you must add all sides together. In this case, add 13+ 8+ 10+ 10. Your answer is 41.
3x-5 (2x+6) = 4(2x+3)+18
Answers
Answer:
= − 4
Step-by-step explanation:
Find Volume
A sphere has a radius of 1.5 feet.
Answers
Answer:
V=14.14ft^3
Step-by-step explanation:
V=4/3(π)1.5^3
=4/3(π)3.375
=14.14ft^3
Answer:
14.1 ft³ (to 3 s.f.)
Step-by-step explanation:
[tex]\boxed{volume \: of \: sphere = \frac{4}{3}π{r}^{3} }[/tex]
Given that the radius is 1.5 feet, substitute r= 1.5 into the formula above:
Volume of sphere
[tex] = \frac{4}{3} (π)( {1.5}^{3} ) \\ = 14.1 \: ft^{3} [/tex]
(to 3 s.f.)
Solve 2(x+5) using distributive properties simplify the following expression
Answers
Answer:
Although the image has two terms inside the parenthesis rather than three terms in the question, we can apply it to this question.
The
2
multiplies to everything inside the parenthesis:
(
2
⋅
x
)
+
(
2
⋅
−
5
)
+
(
2
⋅
2
)
=
6
Now simplify by multiplying:
2
x
−
10
+
4
=
6
Combine
−
10
+
4
:
2
x
−
6
=
6
Add
6
to both sides:
2
x
−
6
+
6
=
6
+
6
2
x
=
12
Divide both sides by
2
2
x
2
=
12
2
x
=
6
Hope this helps!
Answer:
[tex]\huge\boxed{\sf{2x+10}}[/tex]
Step-by-step explanation:
Hello.
Please remember the formula for the Distributive Property:
a(b+c)=ab+ac, where a, b, and c can be variables (letters) or constants (numbers)
Now that we know the formula for the Distributive Property, let's distribute:
2(x+5)
2x+10
I hope it helps.
Have a great day.
[tex]\boxed{imperturbability}[/tex]
Zach is playing a video game. A penalty in Jupiter Battle is a loss of 7 power points. Zach lost a total of 49 power points. How many
times was Zach penalized?
es.)
Answers
Answer:
7
Step-by-step explanation:
Mark me brainlist
Question 9. How much is 190 – 87 + 16?
O A. 103
O B. 261
O C. 87
O D. 119
Submit Answer 119
Answers
Work from left to right:
190-87 = 103
103 + 16 = 119
The answer is D. 119
Answer:
C. 87
Step-by-step explanation
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Step 1: Addition
87 + 16 = 103
Step 2: Subtraction
190 - 103 = 87
Step 3: Check your answer
87 + 103 = 190
Solve for x: |x + 2| + 16 = 14
Answers
pls mark me as the brainliest
On which number line do the points represent negative 4 and 1 over 2 and +3?
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 3rd tick mark to the left of 0. A point labeled T is placed between the 4th and the 5th tick marks to the right of 0.
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed is between the 4th and 5th tick marks to the left of 0. A point labeled T is placed between the 2nd and 1st tick marks to the left of 0.
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed between the 2nd and the 3rd tick mark to the right of 0. answer and u get brainliest
Answers
Answer:
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.
Step-by-step explanation:
The points given are (-4.5,0) and (3,0), which means the points are on the x-axis. Point R (-4.5,0) will be located to the left of 0, the negative side of the number line between the 4th and 5th marks. Point T (3,0) will be located to the right of 0, the positive side of the number line at the 3rd mark.
The second answer is incorrect because point (-4.5,0) is not on the right side of 0 but on the left side.
The third answer is incorrect because point T(3,0) is place between 2 and first mark instead of the third mark.
The fourth answer is incorrect because R (-4.5,0) is placed on the first mark instead of between 4th and 5th mark.
Answer:
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.
please
Find the surface area of the prism.
Answers
Round 7,347,803 to the nearest hundred thousand
Answers
Answer:
7,300,000
Step-by-step explanation:
The rounding of the hundred thousands place depends on the ten thousands place which depends on the thousands place. there was a 4 in the ten thousands place which means you would round down.
Find the midpoint of JK if J(-7. -5) and K(-3,7).
Answers
Answer:
( − 5 , 1 )
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
What makes 3+7+2 = +2
Answers
Answer:
21 because it all postive and equls
Step-by-step explanation:
144kg in the ratio of 9:8:7
Answers
Step-by-step explanation:
Hey there!
Given;
Ratio = 9:8:7
Let "x" be the common factor. So,
9x+8x+7x = 144
or, 24x = 144
or, x = 144/24
or, x= 6
It's like;
= 9*6:8*6:7*6
= 54:48:42
Therefore, their ratio is 54:48:42.
Hope it helps...