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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What number is 4 times as many as 25.
Answer:
100
Explanation:
multiply them..... .... . .. . . . . . . . . . . I had to reach the character limit
David is a sophomore in high school and is studying for his united states history exam, in which he must recall all of the battles in the american revolutionary war. At first, he begins by just trying to group all of the facts associated with each battle into his memory. When he realizes he is forgetting some battles, he begins repeatedly associating the events that occurred in each battle with the place where the battle occurred. He finds he remembers the battles more readily this way, but he is still having a hard time remembering all the facts associated with each battle. Because he continues to think this is the best way to approach learning, he continues to study in this manner. After several bad grades, he realizes that his studying technique is not working, so he asks a friend who is doing better at remembering everything how she is studying. She said she is making up stories about each battle and how each battle is connected with other battles. David tries this method and finds it was much more effective for him.
People are often influenced by different things that affect their behavior. The concepts that relates to this scenario is explained below.
Metacognition is known to be the act of thinking about one's own thought and learning. David first use a method to remember the battles in the American Revolutionary war, and later on uses an alternative method. He asked a friend when he saw his errors. This shows that David understood his thought process and is trying too control it.
Method of loci is known as a strategy of memory enhancement that uses visualizations to boast e recall of information. David uses this to link the events that happened in each battle with the place where the battle took place.
Deep processing is known as a step taken in processing spectrum of mental recall via examining of language used. David's friend uses stories for each battle and connects it with other battles. David then uses deep processing via examining the battles too.
Rehearsal often uses repetition to remember things. David always practicing boast his remembrance of the battles in the American Revolutionary War.
Elaboration is used to enhance total remembrance. By making up stories about each battle and relates it to other battles, it aid David in learning.
Chunking is known as the act of taking different pieces of information and placing them into larger units. David friends sees each battle as a single unit and then they often link up the different events together.
Mental set is known as the ability of the brain to stick with the most familiar solution to a problem and ignore others. David uses the friends method and apply as it aid remembrance more.
See the other part of the question
Explain how each of the following concepts relates to this scenario.
Metacognition
Method of loci
Deep processing
Rehearsal
Elaboration
Chunking
Mental set
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How agriculture industry can provide job opportunities
Answer:
agriculture industry is also related with business in that if the business is huge or small it is considered as the business so, in a person doing business provides job opportunities to all people .yes, agriculture industry provides job opportunities such as farm worker, manager
purchasing agent ,grower, agriculture specialist,sale representative etc.
Ahmet is allergic to dogs. While in the toy store he sees a stuffed toy dog and has an allergic reaction. Ahmet’s reaction to the toy best demonstrates the process of.
Considering the situation described above, Ahmet’s reaction to the toy best demonstrates the process of generalization.
The definition of generalization of reactionGeneralization of reaction is a term used to describe the propensity to react similarly to different but related stimuli.
Generalization concept in this situationGiven that Ahmet is allergic to dogs and, at the same time, has an allergic reaction to a stuffed toy dog, this is a form of generalization.
Hence, in this case, it is concluded that the correct answer is "generalization."
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This cell is undergoing a step of meiosis i. What step is the cell in? the begining of prophase i the middle of metaphase i the end of anaphase i the middle of telophase i.
Answer:
Meiosis is a special type of cell division of germ cells in sexually-reproducing organisms used to produce the gametes, such as sperm or egg cells. It involves two rounds of division that ultimately result in four cells with only one copy of each chromosome.
Explanation:
Answer:
answer is B
the middle of metaphase I
Explanation:
hope this helps!
I love y’all so literally here’s 100 points
glad to help :))))
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Two football players are running toward each other. One football player has a mass of 105 kg and is running at 8. 6 m/s. The other player has a mass of 90 kg and is running at -9. 0 m/s. What is the momentum of the system after the football players collide? 93 kg · m/s 1,713 kg · m/s. 810 kg · m/s. 903 kg · m/s.
The correct answer is P = 1740 kg · m/s, we got this answer by applying the momentum expression which is P = Δ(mv), based on the fact that the mass is not constant
Given data
Mass of Player one = 105kg
Mass of Player two = 93Kg
The Velocity of Player one = 8.6m/s
The Velocity of Player two = -9.0m/s (the negative sign indicates the opposite direction to player one)
Applying Newton’s Second Law in Terms of Momentum because the mass is not constant
When Newton’s second law is expressed in terms of momentum, it can be used for solving problems where mass varies,
We also want to assume that the players stuck together after the collision
An inelastic collision, in contrast to an elastic collision, is a collision in which kinetic energy is not conserved due to the action of internal friction.
P = M1V1 + M2V2
P= 105*8.6+93*9.0
P = 903 +837
P = 1740 kg · m/s.
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Why do you believe the concerns around smartphones were identified as responsibilities and not dilemmas?
Gerri purchases a coupon book with discounts for her favorite coffee shop. Every coupon for the coffee shop offers the same discount. The table shows her total savings, y, based on the number of coupons, x, used from the book. What are the slope and y-intercept of the line represented by the points shown in the table? slope: 2, y-intercept: –20 slope: 2, y-intercept: 10 slope: 5, y-intercept: –20 slope: 5, y-intercept: 10.
Answer: slope: 2, y-intercept: –20
Explanation:
Y-intercept is the point at which the line intersects the y axis- meaning x = 0
From the table y = -20 when x= 0
y-intercept: -20
To find the slope
m = deltaY/deltaX = -20+10/0-5 = 2
Chinese companies are able to charge lower prices since in most cases, their government would support them by paying for their fixed costs. Such companies are able to apply …………………. This means the company would set price to cover only overheads. Select one: a. Incremental pricing b. Rigid cost-plus pricing c. Skimming pricing d. Flexible cost-plus pricing
Answer:
Flexible cost plus pricing
You select cell a1, hover the pointer over the cell border to reveal the move icon, then drag.
A spreadsheet is used to make the organization of data in a tabular form through a computer application software which can also perform mathematical operations.
With this in mind, we can see that the data is arranged in rows and columns as they can be used to record data for business invoices, expenditures, etc.
Some popular spreadsheets includes:
Micros0ft ExcelLibre0ffice, etcA cell border can be added, resized and moved, along with the contents to another location.
Please note that your question is incomplete so I gave you a general overview to help you better understand the concept.
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Which of the following situations can best be used to illustrate the meaning of prosperity? a. Manuel has lots of friends, a loyal dog, a well-paying job, and savings in the bank. B. Toshiko likes mashed potatoes, crisp apples, dark chocolate, and peaches. C. Caleb skis down the mountain every day to get to his job in the village. D. Janna designs costumes for all the musicals and plays at school.
Answer: A because he successful and that's what prosperity means.
Manuel has lots of friends, a loyal dog, a well-paying job, and savings in the bank can best be used to illustrate the meaning of prosperity. Thus, option A is correct.
What is prosperity?The blossoming, prospering, luck, and great social status are all characteristics of prosperity. Pleasure and happiness are two other variables that can be abundantly affluent in all proportions and are frequently produced by prosperity.
As Manuel help lots of friends as well as the dog. And paying job and savings post office suggest that he is having prosperity. Having all the good things in their life and living at that point of time with a backup plan is termed as prosperity that the person is having.
Therefore, option A is the correct option.
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Which situation would most likely benefit from peer mediation?.
Which of these is nearest in meaning to the word presume as it is used in the passage above.
I do not have the passage, but here are the meanings that the word presume can have:
to assume something to be true without really knowing if it is true or not.to be arrogant about what you have.If you want to understand the meaning of a word in the context of a passage, it is important to read the whole text so you can identify what the word specifically means in that passage.
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Even though the process is endothermic, snow can sublime. Which tendency in nature accounts for this phase change?.
Answer:
Explanation:
.
When colleen first learned the word "ominous," she pictured a large, dark cloud to help her remember its meaning. Which term best describes this example?.
Answer:visual imagery
Explanation:
Get a flashlight and switch it on what do you observe about the beam it emits.
it converges the light in to one point
It converges the light in to one point.
What is Flashlight?A portable hand-held electric lighting is known as a flashlight (US, CA), torch (UK), or torch (AU).
The light source used to commonly be a tiny incandescent light bulb, but since the mid-2000s, light-emitting diodes (LEDs) have taken their place. The common components of a flashlight are a light source mounted in a reflector, a clear cover (often paired with a lens) to shield the light source and reflector, a battery, and a switch, all of which are housed in a case.
Around 1899, the development of dry cells and tiny incandescent electric lamps made the first battery-operated flashlights feasible. Today's flashlights run on disposable or rechargeable batteries and typically use light-emitting diodes.
Therefore, It converges the light in to one point.
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Shira wants to do well on her next test so her grade in the class does not fall. This is an example of which type of motivation?.
It is an example of intrinsic motivation.
Motivation can be described as the factors that drive a person to act in a certain manner. These factors can be material, cognitive, emotional or social. Motivation can lead to either positive or negative outcomes. For example, a person motivated to succeed would spend hours studying while a person whose aim is to make quick profit can be motivated to engage in crime.
Intrinsic motivation is a type of motivation in which the driving force to carry out an activity is due to internal factors. Shira's desire to do well is not externally motivated. It is due to her desire to succeed.
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Answer:
the answer is extrinsic
Explanation:
ED 2022
To describe a sequence of transformations that maps triangle.
Answer:
daaam I wish I could help but im struggling in the same thing
Explanation:
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.
How many grams of lead product would theoretically be produced between 17. 0 g potassium iodide, ki, and 25. 0 g of lead (ii) nitrate, pb(no3)2?.
The number of grams of lead product that would theoretically be produced from the given reaction is; Mass of lead product = 23.6 g
Potassium iodide reacting with Lead(II) Nitrate would yield the balanced equation;
2KI + Pb(NO₃)₂ = 2KNO₃ + PbI₂
2moles : 1 mole = 2 moles : 1 mole
From online tables;
Molar mass of KI = 166 g/mol
Molar mass of Pb(NO₃)₂ = 331.2 g/mol
We are given;
Mass of KI = 17 g
Mass of Pb(NO₃)₂ = 25 g
Thus;
Number of moles of PbI₂ yielded in order to find the limiting reactant will be;
no of moles of PbI₂ from KI = (17g/166 g/mol) × (1 mole of PbI₂/2 mol of KI)
no of moles of PbI₂ from KI = 0.0512 mols
Similarly;
no of moles of PbI₂ from Pb(NO₃)₂ = (25g/331.2 g/mol) × (1 mole of PbI₂/1 mol of Pb(NO₃)₂)
no of moles of PbI₂ from Pb(NO₃)₂ = 0.0755 moles
We can see that KI produced the least amount of moles. Thus;
Mass = 0.0512 * molar mass of PbI₂
From tables, molar mass of PbI₂ = 461 g/mol
Thus;
Mass of lead product = 461 * 0.0512
Mass of lead product = 23.6 g
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which expression is equivalent to a+4a+8a+4a+8
Answer:
17a+8
Explanation:
combine like terms (all of the A's) and then the rest of the equation (8)
Answer:
17a+8
Explanation:
Alissa works for a wireless company, and she prides herself on the fact that her job duties help keep the emergency service phone line operating, which ultimately saves lives. Alissa’s sentiment reflects.
Considering the situation described above, Alissa’s sentiment reflects task significance.
What is Task Significance?Task Significance is the mental perception in which individuals consider their work view as significantly influencing other people's lives both within and outside the company.
How Task Significance is Applicable hereGiven that Alissa believes that her job duties help keep the emergency service phone line operating, this is an example of the Task Significance phenomenon.
Hence, in this case, it is concluded that the correct answer is "Task Significance."
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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
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 statement correctly describes a property of white light.
[tex] \\ [/tex]
It contains different wavelengths of visible light.
Which of the following non-renewable resources of energy has the smallest amount of fuel left on earth?.
Answer:
Their is no answer choices but Nonrenewable energy resources include coal, natural gas, oil, and nuclear energy.
Explanation:
What is the value of the expression
x² + 2x - 2xy – 2y + y^2 when x - y = 50 ?
x ² + 2x - 2xy - 2y + y ² = (x ² - 2xy + y ²) + 2 (x - y)
… = (x - y)² + 2 (x - y)
… = 50² + 2 × 50
… = 2600
Ms. Sanchez’s students were asked how many hours they spend participating in organized sports each week. Each row of the table represents one sample from the class. Number of hours playing sports 5 5 3 0 6 2 2 4 5 2 3 4 3 0 1 4 0 4 3 6 what is the mean of the sample in the third row? 2. 2 2. 8 3. 0 3. 4.
The mean of a dataset is the average of the dataset.
The mean of the sample in the third row is 2.2
The dataset is given as:
5 5 3 0 6 2 2 4 5 2 3 4 3 0 1 4 0 4 3 6
From the complete question, the samples in the third row are:
Sample: 3 4 3 0 1
The mean of a dataset is calculated using:
[tex]\bar x = \frac{\sum x}{n}[/tex]
Where:
n = 5 i.e. the number of samples
So, we have:
[tex]\bar x = \frac{3 + 4 + 3 + 0 + 1}{5}[/tex]
Add the expressions in the numerator
[tex]\bar x = \frac{11}{5}[/tex]
Divide 11 by 5
[tex]\bar x = 2.2[/tex]
Hence, the mean of the sample in the third row is 2.2
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Managers at eller manufacturing are considering purchasing a new refrigerated delivery truck that will produce equal annual cash flows of $36,000 for 6 years. The truck’s net present value is $12,780, its cost is $144,000, its useful life is 6 years, and its annual depreciation expense (no salvage value) is $24,000. What is the discount rate used by eller to evaluate this project?.
It should be noted that the discount rate that was used by Eller to evaluate this project is 10%.
From the information given, the following can be depicted:
Annual cash inflows = $36,000 Period of cash inflows = 6 years Cash outlay (initial investment) = $144,000 Depreciation expense = $24,000 Estimated useful of trucks = 6 years Net present value = $12,780It should be noted that the Present Value Annuity Factor at 10% for 6 years is given as 4.355
Therefore, the Present Value of Annuity cash inflows will be
= ($36,000 x 4.355) = $156,780
Less initial investment cash outlay = $144,000
Net present value = $12,780
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