Answer:
[tex]T_{2020} = 15[/tex]
Explanation:
Given
[tex]T_1 = 10[/tex]
[tex]T_2 = 20[/tex]
Each term after the second term is the average of all of the preceding terms
Required:
Explain how to solve the 2020th term
Solve the 2020th term
Solving the 2020th term of a sequence using conventional method may be a little bit difficult but in questions like this, it's not.
The very first thing to do is to solve for the third term;
The value of the third term is the value of every other term after the second term of the sequence; So, what I'll do is that I'll assign the value of the third term to the 2020th term
This is proved as follows;
From the question, we have that "..... each term after the second term is the average of all of the preceding terms", in other words the MEAN
[tex]T_{n} = \frac{\sum T{k}}{n-1} ; where: k = 1 .... n -1[/tex]
Assume n = 3
[tex]T_{3} = \frac{T_1 + T_2}{2}[/tex]
Multiply both sides by 2
[tex]2 * T_{3} = \frac{T_1 + T_2}{2} * 2[/tex]
[tex]2T_{3} = T_1 + T_2[/tex]
Assume n = 4
[tex]T_{4} = \frac{T_1 + T_2 + T_3}{3}[/tex]
[tex]T_{4} = \frac{(T_1 + T_2) + T_3}{3}[/tex]
Substitute [tex]2T_{3} = T_1 + T_2[/tex]
[tex]T_{4} = \frac{2T_3 + T_3}{3}[/tex]
[tex]T_{4} = \frac{3T_3}{3}[/tex]
[tex]T_{4} = T_3[/tex]
Assume n = 5
[tex]T_{5} = \frac{T_1 + T_2 + T_3 +T_4}{4}[/tex]
[tex]T_{5} = \frac{(T_1 + T_2) + T_3 +(T_4)}{4}[/tex]
Substitute [tex]2T_{3} = T_1 + T_2[/tex] and [tex]T_{4} = T_3[/tex]
[tex]T_{5} = \frac{2T_3 + T_3 +T_3}{4}[/tex]
[tex]T_{5} = \frac{4T_3}{4}[/tex]
[tex]T_{5} = \frac{(5-1)T_3}{5-1}[/tex]
Replace 5 with n
[tex]T_{n} = \frac{(n-1)T_3}{n-1}[/tex]
(n-1) will definitely cancel out (n-1); So, we're left with
[tex]T_{n} = T_3[/tex]
Hence,
[tex]T_{2020} = T_3[/tex]
Calculating [tex]T_3[/tex]
[tex]T_{3} = \frac{10 + 20}{2}[/tex]
[tex]T_{3} = \frac{30}{2}[/tex]
[tex]T_{3} = 15[/tex]
Recall that [tex]T_{2020} = T_3[/tex]
[tex]T_{2020} = 15[/tex]
Describe any challenges or hesitations you could have about your goals you set or the activity requirements for the course?
IF YOU CAN HELP ME THAT WOULD BE AWESOME!! I WILL MARK YOU BRAINLIEST AND GIVE YOU EXTRA POINTS>>
Answer:
Well everybody's different but in my case, some challenges or hesitations I have is that I feel or believe that I can't do it sometimes, but, self confidence gets me out of those thoughts and I achieve but sometimes I nearly give up. That's why self confidence is so important, also, distractions like games and even some times friends can challenge you from achieving your goals
Self - Doubt , Lack of Patience , Fear of Failure are some of the challenges or hesitations you could have about your goals you set.
What are goals ?Goals are the target fixed by a person and a timeline on which he aims to achieve it.
They can be small term goals like getting fit or long term goals to become an Engineer.
The main challenges or hesitations anybody can have about their goals is
1. Self -Doubt : Whether they can achieve it or not
2.Lack of Patience : Achieving something big can take time and patience is needed to wait for it to build slowly.
3. Fear of Failure
To know more about Goals
https://brainly.com/question/21032773
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Which statement best describes the arrival of P-waves and S-waves recorded at a station located closer to the epicenter of this same earthquake?
1. The time difference between the arrival of the first P-Wave and S-Wave would be less than 4 minutes.
2. The time difference between the arrival of the first P-Wave and S-Wave would be greater than 4 minutes.
3. P-Waves would be recorded, but no S-waves would arrive.
4. S-Waves would be recorded, but no P-Waves would arrive.
Please answer ASAP
Answer:
1. The time difference between the arrival of the first P-Wave and S-Wave would be less than 4 minutes.
Explanation:
S waves are slower than P waves, even if emitted at the same time. In this case, we can say that if a station is located close to the earthquake epicenter, the station would receive these waves quickly. The P wave would be received first, since it has a higher speed, the S wave would arrive soon. As you did not provide the times when each wave was emitted, we cannot accurately state the time when each wave would be perceived by the station. However, as the station is close to the earthquake, we can say that the time difference between P and S waves would be seconds, that is, less than 4 minutes.
Description of the P and S waves.
The P waves are those that are recorded first at the epicenter and they are first one to arrive the secondary or the S waves are those that don't travel through the liquids and they are second to arrive.
Thus the answer is the of the arrival and gap between both the waves is four minutes lesser.
Due to the fast movement of the P waves they are able to move through the solid and liquid at a higher velocity than the S waves and hence there is a time gap between them.They thus affect the arrival time on the seismograph.Hence the option One is correct.
Learn more about the statement best
brainly.com/question/15810418.
A _________ is a collection of every accidental found in the scale.
A__________ can be used instead of writing each accidental.
What sentence is used for remembering the order of flats?
What sentence is used for remembering the order of sharps?
Key signatures can comprise of _________.
______ are arranged the opposite of flats.
What is the sentence for sharps?
A _________ is a selection of certain notes within an octave.
C major Scale is: _______________________.
Eb Major Scale is: _______________________.
D Major Scale is: ________________________.
An __________ measures the distances between two notes.
________________ are measured on the staff.
When two notes occupy the same line or space, they are a _____ or ______ apart.
Give one example of each interval: Seconds, Thirds, Fourths, Fifths, Sixths and Sevenths.
Answer:
-A key signature is a collection of every accidental found in the scale.
-A key signature can be used instead of writing each accidental.
-Battle ends and down goes Charles' father.
-Father Charles goes down and ends battle.
-Key signatures can comprise of flats and sharps.
-Flats are arranged the opposite of flats.
-Father Charles goes down and ends battle.
-A scale is a selection of certain notes within an octave.
-C D E F G A B C
-Eb F G Ab Bb C D Eb
-D E F# G A B C# D
-An interval measures the distances between two notes.
-Notes
Explanation:
The case of Furman versus Georgia resulted in a reinterpretation of the meaning of
Answer:
The case of Furman v. Georgia (1972) resulted in a reinterpretation of the meaning of excessive bail.
Explanation:
Which statement is true of a market economy? A. It depends more on self-interest than a command economy does. B. It eliminates the problem of scarcity, unlike a command economy. C. It prioritizes the public good over personal freedom. D. It requires the approval of a regulatory body for innovation. E. It ensures that everyone will accumulate wealth.
The correct answer is A. It depends more on self-interest than a command economy does.
Explanation:
In the market economy, economical factors are mainly regulated by the actions of individuals and their interests, because these two factors determine supply and demand. For example, the supply of a specific product is determined by the manufactures of this product and their interest in obtaining profits. This does not occur in a command economy because, in this, the general interests of society prevail over self-interests, and economical factors are regulated by the government.
Answer:
The correct answer is A. A market economy depends more on self-interest than a command economy does.
Explanation:
A market economy is an economy where prices are determined by supply and demand in the market, at a price agreed by both buyers and sellers.
In a free-market system, the market and the whole economy are based primarily on the rational allocation of resources, that is, the type and quantity of goods on the market is determined by demand. The effort to achieve the highest possible profit forces the manufacturer to produce as efficiently as possible. This effort to maximize has two sides of the balance sheet: revenue works with the volume and pricing of the final product, but from the point of view of efficiency, on the contrary, it is about minimizing costs and especially not allowing depreciation of entire business cases as losses. The resulting product is then redistributed through the market.
Does anyone have a Pixar theory and has evidence for it? for example i made a theory that charles mutz, from UP, might be a time lord. if you want evidence i'll send it to you. but whats your theory theorists?
Rewrite as a simplified fraction.
0.16‾
Answer:
4/25
Explanation:
Idk, if the negative sign on the top has anything to do with rewriting it as a simplified fraction, but 4/25 would be the most simplified it can get.
