The fifth term of a geometric sequence is 781. 25. Each term of the sequence is of the value of the following term. Which recursive formula represents the situation?.
Answer: an = 5an-1
Explanation: Given fifth term of a geometric sequence is 781.25.
a5 = 781
Also, each previous term is 1/5 of the value of the current term.
Therefore, common ratio would be 5.
But we just need to find the recursive formula .
Recursive formula of a geometric sequence is given by
Plugging value of r in above formula, we get
Therefore, recursive formula would be represents the situation.
The recursive formula that represents the situation is: [tex]t_n = a^{(3/4)} * 781.25^{(1/4)} * n^{(1/4)}[/tex].
What is recursive formula?A recursive formula is one that defines any term in a sequence in terms of the term(s) before it.
Let the first term of the geometric sequence be 'a' and the common ratio be 'r'.
We are given that the fifth term is 781.25, so we can write:
a * [tex]r^4[/tex] = 781.25
We also know that each term is the value of the following term, so we can write the recursive formula:
t_n = r * t_(n-1)
Where t_n is the nth term of the sequence and t_(n-1) is the previous term.
To express the recursive formula in terms of 'a' and 'r', we can use the formula for the nth term of a geometric sequence:
[tex]t_n = a * r^{(n-1)[/tex]
Substituting the recursive formula, we get:
[tex]r * t_{(n-1)} = a * r^{(n-1)[/tex]
Dividing both sides by r^(n-1), we get:
[tex]t_{(n-1)} = a * r^{(n-2)[/tex]
So the recursive formula in terms of 'a' and 'r' is:
t_n = r * t_(n-1)
[tex]= r * (a * r^{(n-2)})\\\\= a * r^{(n-1)[/tex]
Now we can substitute the value of the fifth term (781.25) to solve for 'a' and 'r':
a * [tex]r^4[/tex] = 781.25
Dividing both sides by a, we get:
[tex]r^4[/tex]= 781.25/a
Taking the fourth root of both sides, we get:
r = [tex](781.25/a)^{(1/4)[/tex]
Substituting this value of 'r' into the recursive formula, we get:
[tex]t_n = a * ((781.25/a)^{(1/4)}){^(n-1)}\\\\= a^{(3/4)} * 781.25^{(1/4)} * n^{(1/4)}[/tex]
Therefore, the recursive formula that represents the situation is:
t_n = a^(3/4) * 781.25^(1/4) * n^(1/4)
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Calculate the number of different words that can be obtained by rearranging the letters of the word trust.
There are 5 letters in the word trust and the number of different words that can be obtained from the word trust is; 115
Since, at least 2 letters are required to make a word from the word trust;
We can evaluate the number of different words that can be obtained by rearranging the letters of the word trust as;
5! - 5= (5×4 × 3 × 2 × 1) - 5= 120 - 5= 115Read more on combinations and permutations;
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When grading compositions, which measure has the strongest correlation with the overall quality of the writing?.
Based on writing standards, when grading compositions, the measure that has the strongest correlation with the overall quality of the writing is "length."
Elements of quality writingGenerally, the elements of quality writing include the following:
FocusDevelopmentUnityCoherenceCorrectness.However, based on research studies, the strongest correlate of quality writing is Length, with a correlation of 0.557.
Hence, in this case, it is concluded that the correct answer is "Length."
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In which of the following regions between 1450 and 1750 was christian missionary activity met with the least amount of resistance by non-european states?.
Considering the available options, the regions between 1450 and 1750 in which Christian missionary activity was met with the least amount of resistance by non-European states in America.
Christian Missionary Activity In America.The origin of Christianity in America started with the Europeans. The Europeans like Spain, France, England, and the Netherlands brought different forms of Christian practice to America.
During this period, the Europeans settled in America and quickly spread Christianity among themselves and the Native Americans due to their superior warfare.
Unlike other regions that have many natives with different religious beliefs, America mainly was populated with few natives, thereby making Christianity increase in the region when many Europeans came.
Hence, in this case, it is concluded that the correct answer is America.
The available options are the following:
The Americas
The Middle East
The Indian subcontinent
Central Asia
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Look at this painting where and when was it produced.
Answer:
I'm sorry
but where's the painting?
Which statement best summarizes brown’s message in this essay?.
Answer:
where the essay?
Explanation:
F(x, y) = e−x + y2, e−y + x2 , c consists of the arc of the curve y = cos(x) from − ???? 2 , 0 to ???? 2 , 0 and the line segment from ???? 2 , 0 to − ???? 2 , 0.
Given that y = cos(x) makes up part of the boundary of C, I suspect you mean the given points to be (-π/2, 0) and (π/2, 0).
I also assume the given vector field is
[tex]\vec F(x,y) = \left\langle e^{-x} + y^2, e^{-y} + x^2 \right\rangle[/tex]
Since [tex]\vec F[/tex] has no singularities on C or in its interior, Green's theorem applies:
[tex]\displaystyle \int_C \vec F(x,y) \cdot d\vec r = \iiint_D \frac{\partial(e^{-y}+x^2)}{\partial x} - \frac{\partial(e^{-x}+y^2)}{\partial y} \, dA = 2 \iiint_D (x + y) \, dA[/tex]
where D is the interior of C, the region
[tex]D = \left\{ (x, y) : -\dfrac\pi2 \le x \le \dfrac\pi2 \text{ and } 0 \le y \le \cos(x) \right\}[/tex]
The integral then reduces to
[tex]\displaystyle 2 \iint_D (x + y) \, dA = 2 \int_{-\frac\pi2}^{\frac\pi2} \int_0^{\cos(x)} (x + y) \, dy \, dx[/tex]
[tex]\displaystyle 2 \iint_D (x + y) \, dA = 2 \int_{-\frac\pi2}^{\frac\pi2} \left( x\cos(x) + \frac12 \cos^2(x) \right) \, dx[/tex]
[tex]\displaystyle 2 \iint_D (x + y) \, dA = 2 \int_{-\frac\pi2}^{\frac\pi2} \left( x\cos(x) + \frac{1 + \cos(2x)}4 \right) \, dx[/tex]
[tex]\displaystyle 2 \iint_D (x + y) \, dA = \frac12 \int_{-\frac\pi2}^{\frac\pi2} \left( 4x\cos(x) + 1 + \cos(2x) \right) \, dx[/tex]
Since 4x cos(x) is an odd function over the symmetric interval [-π/2, π/2], its contribution to the integral is 0, and the remaining integral is trivial.
[tex]\displaystyle 2 \iint_D (x + y) \, dA = \frac12 \int_{-\frac\pi2}^{\frac\pi2} \left( 1 + \cos(2x) \right) \, dx = \boxed{\frac\pi2} [/tex]
Who played cleopatra in the caesars sportsbook commercial.
You have a worksheet in excel that will print as 10 pages.
Considering the situation described above, to ensure that the header row is printed at the top of each page, the user should start by "going to Page Layout tab."
The other steps to ensure that the header row is printed at the top of all the 10 pages include the following steps:
Click page set up under page set up a group.Go to print titles.Click Rows to repeat at top.Select the cell that contains the text you want to repeat.Click OK.Hence, in this case, it is concluded that to print the header row is to click on the "Page Layout Tab."
The full question is:
You have a worksheet in excel that will print as 10 pages. how can you ensure that the header row is printed at the top of each page?
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What feature or elements of the story surprised me.
Answer:
One question! Which story is it?
Explanation:
Which of these best describes the point of washington in this excerpt.
Answer:
awnser choice B
Explanation:
B
The writer wants to start the third paragraph (sentences 10-14) with a sentence that captures what the different claims and evidence in the paragraph are meant to show. Which of the following sentences should the writer add immediately before sentence 10 to achieve this goal?.
Transition words are those words or phrases which are used to link ideas across paragraphs or inside a given sentence and this helps the reader to understand that the ideas in one paragraph are further explained.
Some examples of transition words includes:
HoweverButThereforeWithout much adoFurthermore, etcWith this in mind, if a person wants to properly capture the different claims and evidence which a paragraph is meant to show, then this would be to make use of transition words and also give relevant information.
Please note that your question is incomplete so I gave you a general overview so that you could get a better understanding of the concept.
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PLEASE HELP ASP
Define the following
• Self-evaluation
• Personal skills
• Personal qualities
Answer: Let me help you with this one.
Explanation:
Self evaluation is a personal inspection, in which you check your physical mental and spiritual states, to make sure you are doing fine.
Personal skills are attributes you have in particular that can show specific prowess or an aid to eachother.
Personal qualities are traits that are used for how you qualify yourself on a level of it.
Which one of the following descriptions most accurately describes what is occurring in the half cell containing the cu electrode and cu2+(aq) solution?.
Which summary of the passage is the best? brutus wants caesar to die. Even though brutus has no personal reason for killing caesar, brutus decides that, for the good of the people, caesar must be killed. If caesar were crowned, it may change his personality, and the power may cause him to become dangerous. Brutus compares caesar to a snake. The snake comes out in the sunshine. People must be very careful when walking around the cunning snake. Crown caesar and i agree that we may be giving him the power to sting us.
The best summary will be "Crown caesar and I agree that we may be giving him the power to sting us".
A summary is defined as the main idea of a passage. It tells the reader the idea of a whole text before reading the passage.A summary is important to students so that they can easily discern the irrelevant statements in a text and help them focus on the main idea.Based on the given passage, the best summary will be "Crown caesar and I agree that we may be giving him the power to sting us".
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Answer:
its B
Explanation:
The great white fleet pictured above illustrates which foreign policy of the united states.
What is wollstonecraft’s purpose in citing rousseau’s theory? to applaud his theory to disprove his theory to agree with his theory to elaborate on his theory.
Answer: b
Explanation: .. b.. cus it is.. see what i did there
The Wollstonecraft’s purpose in citing Rousseau’s theory is to disprove his theory. The correct option is B.
What is Rousseau’s theory?Rousseau believed that modern man's enslavement to his own needs was to blame for a wide range of societal ills, including exploitation and dominance over others, as well as low self-esteem and depression.
Rousseau believed that the freedom of all citizens was the most important goal of good government.
History conjecture and moral psychology Rousseau repeatedly asserts that his worldview is centered on a single idea, namely, that humans are good by nature but corrupted by society.
Jean-Jacques Rousseau, born in Geneva in 1712, was a major political thinker of the 18th century. The purpose of Wollstonecraft citing Rousseau's theory is to refute it.
Thus, the correct option is B.
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Which best describes the relationship between respiratory and circulatory system.
Answer:
The respiratory system transports oxygen to cells, while the circulatory system provides oxygen for cells.
What should the food worker do to safely thaw the pork.
Answer:
if the pork is in a bag, you can thaw it in a sink, or if it is not in a bag, put the pork in a bag before thawing it in said sink.
0. 29 is greater than 0. 3.
I love y’all so literally here’s 100 points
glad to help :))))
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According to the big bang theory, what happens if you reverse the galaxy motion and go back in time?.
The reverse of the Big Bang Theory simply means the scenario where the expansion of the universe reverses. Known as well as the "Big Crunch". This event supposedly would lead to the collapse of the universe.
When it falls under this, the cosmic scale then reaches 0. Subsequently, everything would become condensed into a very dense point.
When o2 is released as a result of photosynthesis it is a direct by-product of.
Answer:
answer is water molecules
Explanation:
The oxygen evolved during photosynthesis comes from water molecules.
Answer:
The O2 released in photosynthesis comes from the H2O, not the CO2. This was proved by radioactive isotopes. I think this is what you are asking.
What does this excerpt tell us most about the cat? she sleeps a lot. She is content. She feels cold. She is unconcerned.
Answer:
The answer is d and to check your self here is the passage
Last of all came the cat, who looked round, as usual, for the warmest place, and finally squeezed herself in between Boxer and Clover; there she purred contentedly throughout Major's speech without listening to a word of what he was saying.
Explanation:
In "Lather and Nothing Else," the line "feigning casual unconcern" reveals the following about the narrator's feelings.
What "Feigning casual unconcern" shows?"Feigning casual unconcern" shows that the narrator is really nervous about the man whose beard he has to shave, but he has to pretend that everything is fine.
"Lather and Nothing Else" is a short story by Hernando Tellez. It is set in Colombia during a civil war. The narrator of the story is not only a barber, but also a revolutionary. One day, a captain comes in to be shaved by the narrator. That man was responsible for the horrific killing and mutilation of four rebels.
The narrator is extremely nervous about the man's presence in his shop. After all, even if he is a client, he is also the enemy.
That is what the line below shows:
"I lifted the brush, and feigning casual unconcern, asked, 'Firing Squad?'"
The narrator is pretending to be unconcerned, but he is, in reality, disoriented and even shaking.
Therefore, In "Lather and Nothing Else," the line "feigning casual unconcern" reveals the following about the narrator's feelings.
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You have set a closing date with a password. Can your client make changes and if so, how would you track any changes to transactions within the closed period?.
Based on the information given, the correct option will be C. Yes, but only if they know the password. Changes are flagged in an Exceptions to Closing Date report.
From the complete information, it was stated that the user has set a closing date with a password. It should be noted that changes can still be made by the client.
It should be noted that admins and master admins can edit the transactions even after the closure of the book.
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AAHHHH so guilty........................... comment/ answer
A 2-kg wood block is pulled by a string across a rough horizontal floor. The string exerts a tension force of 30 n on the block at an angle of 20º above the horizontal. The block moves at constant speed. If the block is pulled for a distance of 3. 0 m, how much work is done by the tension force?.
Only the horizontal component (the component parallel to the floor) of tension does work on the block. This parallel component has magnitude
(30 N) cos(20°) ≈ 28.2 N
and acts over a distance of 3.0 m, so it performs
(28.2 N) (3.0 m) ≈ 85 J
of work
In the chairman's white paper, "mission command" (2012), "_____ equips decision-makers at all levels with the insight and foresight to make effective decisions, to manage associated risks, and to consider second and subsequent order effects. ".
In the chairman's white paper, "mission command" (2012), it is required understanding equips decision-makers at all levels. It involves making effective decisions and managing associated risks.
M.E. Dempsey, who is Chairman of the Joint Chiefs of Staff, published the Mission Command White Paper in 2012.
This publication indicates that mission command represents the main method by which joint forces should exercise command and control.
In this paper, Dempsey states that mission command can be considered as a constant effort to understand and then direct effectively the achievements of intent.
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Hebrews begins by asserting that jesus is greater than.
What is the approximate tangential speed of an object orbiting earth with a radius of 1. 8 × 108 m and a period of 2. 2 × 104 s? 7. 7 × 10–4 m/s 5. 1 × 104 m/s 7. 7 × 104 m/s 5. 1 × 105 m/s.
Answer: the period is 2.2 x 104 s, then the rotational speed is:
1 / 2.2x104 = 4.55x10-5 rad/s
We can solve for the tangential speed using the formula:
v = ωr
where ω is the rotational speed
v is the linear or tangential speed
r is the radius
So,
v = 4.55x10-5(1.8x108)
v = 5.1 x 104 m/s
Explanation:
The approximate tangential speed of an object orbiting earth with a radius of 1. 8 × 108 m is 5.1 x 104 m/s.
What is tangential speed?Any item moving along a circular path has a linear component to its speed called tangential velocity.
An object's velocity is always pointed tangentially when it travels in a circle at a distance r from the center. Tangential velocity is the name given to this.
The period is 2.2 x 104 s, then the rotational speed is:
1 / 2.2 x 104 = 4.55 x 10⁻⁵ rad/s
We can solve for the tangential speed using the formula:
v = ωr
where ω is the rotational speed
v is the linear or tangential speed
r is the radius
So,
v = 4.55 x 10⁻⁵ (1.8 x 108)
v = 5.1 x 104 m/s
Therefore, the tangential velocity is 5.1 x 104 m/s.
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