Consider the sequence Three-halves, four-thirds, five-fourths, six-fifths, ellipsis
Which statement describes the sequence?
The sequence diverges.
The sequence converges to 0.
The sequence converges to 1.
The sequence converges to ∞.
Answer:
Its Actually C, just took the quiz right now
Step-by-step explanation:
The sequence Three-halves, four-thirds, five-fourths, six-fifths, ellipsis, is a converging sequence, that converges to 1.
Hence, the 3rd option: "The sequence converges to 1.", is the best choice.
What does converging and diverging mean?Converging signifies a movement toward something. Diverging denotes moving away from something.
How to solve the question?In the question, we are given a sequence: Three-halves, four-thirds, five-fourths, six-fifths, ellipsis.
This can be shown as 3/2, 4/3, 5/4, ...
The general term of this series is (n + 2)/(n + 1).
As it is going on continuously to infinite,
The term can be shown as:
[tex]lim_{n\rightarrow \infty }\frac{n + 2}{n + 1} \\= lim_{n\rightarrow \infty }1 + \frac{1}{n+1} \\=lim_{n\rightarrow \infty }1 + lim_{n\rightarrow \infty }\frac{1}{n+1} \\= 1 + 0 \\= 1[/tex]
Thus, we can see that the sequence, gradually moves to a point. Thus it is converging in nature.
Also, the point it converges is 1.
Hence, 3rd option is the best choice.
Learn more about converging and diverging sequences at
https://brainly.com/question/21654304
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A group of friends wants to go to the amusement park. They have no more than $155 to spend on parking and admission. Parking is $13.25, and tickets cost $31.50 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
Answer:
Step-by-step explanation:
13.25x + 31.50x≤155
44.75x≤150
Can someone please answer
Hello!
We can graph by finding critical points - intersections, y-intercepts, x-intercepts.
Find the intersection point by setting the two equations equal to each other:
-4x + 3 = x - 2
Subtract x from both sides:
-5x + 3 = - 2
Subtract 3 from both sides:
-5x = -5
Divide both sides by -5:
-5x/(-5) = -5/(-5)
x = 1
Find the y-value of intersection by plugging in x = 1 into an equation:
y = 1 - 2 = -1
Intersection at (1, -1)
Find the x and y intercepts of each equation:
y = -4x + 3
Set x to 0 to find the y-intercept:
y = -4(0) + 3 = 3
Set y to 0 to find the x-intercept:
0 = -4x + 3
-3 = -4x
x = 3/4
Therefore, this equation has a y-intercept at (0, 3) and and x-intercept at (3/4, 0).
y = x - 2
Set x to 0 to find the y-intercept:
y = 0 - 2 = -2
Set y to 0 to find the x-intercept:
0 = x - 2
x = 2
Therefore, this equation has a y-intercept at (0, -2) and and x-intercept at (2, 0).
Graph the two equations with the solved critical points:
y = -4x + 3
--> (1, -1)
--> (0, 3)
--> (3/4, 0)
y = x - 2
--> (1, -1)
--> (0, -2)
--> (2, 0)
**Graphed below**
If Janis and Melanie make bracelets one afternoon during Choice time. They make six bracelets each. They feel generous and give away 3 bracelets each to their classmates. How many do each of them have left?
y is directly proportional to x
when y = 30 , x =6
a) work out an equation connecting y and x
b) work ou the value of y when x = 12
Answer:
This is ur ans
Step-by-step explanation:
a.y=5x or x=y/5
b.y=60
y/x=5
y/12=5
y=60
The writers for a TV show have determined that they need to add a new character. One demographic wants the new character to be a man, or someone who can do martial arts. Another demographic wants the new character to be a woman, or someone who is a medical doctor. The writers want to please both demographics. Therefore, the new character will be someone who can do martial arts or is a medical doctor.
Which rule of inference was used here?
A. Conjunction
B. Resolution
C. Modus Ponens
D. Disjunctive Syllogism
E. Hypothetical Syllogism
F. Addition
G. Modus Tollens
H. Simplification
Answer: Resolution
Step-by-step explanation:
The rule of inference that was used here is Resolution. We should note that the resolution principle is used to know whether an argument is valid or not and hence make conclusion.
Resolution typically complements the sentences given such that the new clause has every information given and satisfies everyone.
We can see that from the question, one demographic wants the new character to be a man, or someone who can do martial arts while the other demographic wants a woman,or a medical doctor. Eventually, the writers want to please both demographics and said that the new character will be a martial artsmist or a medical doctor.
What is the coefficient of the x^2-term of the product
Answer:
it's x
Step-by-step explanation:
x is what is being raised by 2
Answer:
1
Step-by-step explanation:
The coefficient of x^2 is 1 because there is no real number in front of it
Hope this helped! Please mark me brainliest!
Plz help me this is 7th grade math
Answer:
the picture is too small i can not see clearly
Step-by-step explanation:
Divide. Give the exact answer, written as a decimal. 0.05 4.32
Answer:
86.4 I believe
Step-by-step explanation:
I. A rhombus is a special type of square. II. A rectangle is a special type of rhombus. III. A trapezoid is a special type of parallelogram. Which of the above statements are true? i only iii only iii only None of the above statements are true.
Answer: I. only
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Explanation :
II. False. a rectangle is a special type of rhombus since a rhombus has all sides equal, while a rectangle has all angles equal. A rhombus has opposite angles equal, while a rectangle has opposite sides equal. The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length.
I. True. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.
III. False. Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram. The correct answer is that all trapezoids are quadrilaterals.
please please help me
Answer:
-0.88
Step-by-step explanation:
(f/g)(9)=(x+7)/-2x and the 9 brackets is the value of x with which you have to substitute. after u do that you get (9+7)/-18=16/-18=-0.88(8)
What would be the correct order of operations to evaluate the following expression?
Multiply, Multiply, Add, Subtract
Multiply, Add, Subtract, Subtract
Multiply, Subtract, Add, Add
Multiply, Subtract, Add, Subtract
Answer:
d or 4Step-by-step explanation:
Answer:
Multiply,Subtract,Add,Subtract
Step-by-step explanation: Easy, just think
In triangle ABC, m
hypotenuse: AB, BC, or CA?
Answer:
The hypotenuse is the side AB
Step-by-step explanation:
Right Triangles
Right triangles are identified because they have an internal angle of 90°. The longest side is the hypotenuse and the two smaller sides are called the legs.
The hypotenuse is always opposite to the right angle.
The image provided below shows a right triangle ABC, whose angle C is 90°. Thus, the hypotenuse is the side AB.
what is the line that goes through (-5,1) and perpendicular to y= 5/4x + 3
Solve this equation for x. 3(2x-1)+2=2(2-x).
lOOK AT THE SUN COME BACK THEN LOOK AT MY QUESTION.
the first one 4 x (7-3)
Answer:
Step-by-step explanation:
4×(7-3)
There are approximately 3.3 million births in a country each year. Find the birth rate in units of births per minute.
Answer:
8,760
Step-by-step explanation:
365 X 24
HELP ME YO I LISTEN TO TRIPPIE REDD
Answer: blank = 2
Step-by-step explanation:
i checked the denominators to see if they had some form of correlation. i did this with the denominators because both of them were given. i saw that 16 is twice the number of 8, so i just said "what is twice the number of 1?" and got my answer.
Answer:
2
Step-by-step explanation:
Trippie is amazing, good job. What's your favorite song from him mine is Excitement.
company has three factories (1, 2, and 3) which produce the same chip. The threefactories produce 15%, 35% and respectively 50% of the total production. The probabilityof a defective chip at factory 1, 2, 3 is 0.01, 0.05, 0.02, respectively. Suppose someone findsa defective chip. What is the probability that this chip comes from factory 1
Answer:
beesechurger
Step-by-step explanation:
Which statement is true when 3.4 is placed in the blank? 10.2 ÷ ___ = 0.3 20.4 ÷ 6 = ___ 27.2 ÷ ___ = 0.8 30.6 ÷ 0.9 = ___
Please I really need help on this one
Hello
The
Thing
Is
I
Dont
???
which is bigger 7.5 or 7/10
Answer:
7.5
Step-by-step explanation:
7.5 > .7
Answer:
7.5
Step-by-step explanation:
7/10 is equal to 0.7 which is smaller than 7.5 so 7.5 is bigger
Sandy wants to make brownies. To make brownies, she needs 2/3 of a cup of flour
per batch of brownies. If Sandy has 6 cups of flour, then how many batches of brownies
can Sandy make?
Answer:
9
Step-by-step explanation:
6 divided by 2/3 = 9
Find the perimeter of the following figure.
A. 21 inches
B. 25 inches
C. 33 inches
D. 38 inches
Step-by-step explanation:
Notice that the perimeter of the figure is equal to the perimeter of a rectangle that is 6in by (5in + 8in).
Hence the perimeter
= 2(6in + 5in + 8in)
= 2 * 19in = 38 inches. (D)
slope is 2 and contains the point (5,-7)
write the equation of a line
Answer:
y = 2x - 17
Step-by-step explanation:
y = mx + b
m = 2
y = 2x + b
Plug in (5, -7) for x & y.
-7 = 2(5) + b
-7 = 10 + b
Subtract 10 from both sides.
-17 = b
y = 2x - 17
Check work.
-7 = 2(5) - 17
-7 = 10 - 17
- 7 = -7
Your answer is correct.
Which of the following is the quotient of the complex below
(3+5i)devided (1 -2i)
Answer:
-7/5 + 11i/5
Step-by-step explanation:
hope this helps have a great day! c:
There are 120 people on the bus 50% get off at the first stop 20% get off at the second stop. The rest get off on the third stop. How many people got off the bus at the third stop? Please show the correct answer :)
Answer:
48 people
Step-by-step explanation:
First, find how many were left after the first stop:
120(0.5)
= 60
Find how many were left after the second stop:
60(0.8)
= 48
So, since the rest got off on the third stop, this means 48 people got off on the third stop.
Step-by-step explanation:
(saw this trick on tik tok)
50%+20%= 70%
100%-70%= 30%
30% of 120 people
3/10x120/1= 360/10 (cancel out the 0s)
your answer is 36
What are the two main purposes of all business
Answer:
Because the purpose of business is to create a customer, the business enterprise has two--and only two--basic functions: marketing and innovation.
Answer:
I think B eaning revenue may be right answer
Determine the smallest integer value of x in the solution of the following inequality.
-x-2≤5
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-x-2≤5 Equation/Question
Step 2
-x-2≤5 Simplify
-x≤7
Step 3
-x≤7 Divide
answer
x≥-7
Round 55621.4447812 to the nearest whole number
Answer:
55621
Step-by-step explanation: