Analyze the impact of the Cold War on the United States and the Soviet Union's relationship between the other countries

Explain in detail, how you solved the following problem: The first two terms of a sequence are 10 and 20. If each term after the

KIM [24]

Answer:

$T_{2020} = 15$

Explanation:

Given

$T_1 = 10$

$T_2 = 20$

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

$T_{n} = \frac{\sum T{k}}{n-1} ; where: k = 1 .... n -1$

Assume n = 3

$T_{3} = \frac{T_1 + T_2}{2}$

Multiply both sides by 2

$2 * T_{3} = \frac{T_1 + T_2}{2} * 2$

$2T_{3} = T_1 + T_2$

Assume n = 4

$T_{4} = \frac{T_1 + T_2 + T_3}{3}$

$T_{4} = \frac{(T_1 + T_2) + T_3}{3}$

Substitute $2T_{3} = T_1 + T_2$

$T_{4} = \frac{2T_3 + T_3}{3}$

$T_{4} = \frac{3T_3}{3}$

$T_{4} = T_3$

Assume n = 5

$T_{5} = \frac{T_1 + T_2 + T_3 +T_4}{4}$

$T_{5} = \frac{(T_1 + T_2) + T_3 +(T_4)}{4}$

Substitute $2T_{3} = T_1 + T_2$ and $T_{4} = T_3$

$T_{5} = \frac{2T_3 + T_3 +T_3}{4}$

$T_{5} = \frac{4T_3}{4}$

$T_{5} = \frac{(5-1)T_3}{5-1}$

Replace 5 with n

$T_{n} = \frac{(n-1)T_3}{n-1}$

(n-1) will definitely cancel out (n-1); So, we're left with

$T_{n} = T_3$

Hence,

$T_{2020} = T_3$

Calculating $T_3$

$T_{3} = \frac{10 + 20}{2}$

$T_{3} = \frac{30}{2}$

$T_{3} = 15$

Recall that $T_{2020} = T_3$

$T_{2020} = 15$

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Ano-ano ang indikador ng kaunlaran ng Yamang tao?

avanturin [10]

Answer:

I think MGA gamit NILA or business Kase un ung yamang tao NILA ehg

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In online learning, who is responsible for checking to make sure assignments are turned in?

zloy xaker [14]

Answer: b

Explanation:

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Do any of you have good time management tips so I can get all of my projects done?

Mrac [35]

Answer:

Hi, there! If you're looking for time management skills, here is a list to get started:

1: Keep your notes orderly. You shouldn't keep your notes in a disorganized mess. That would take a lot of time to look through these. Organize them by date, subject, etc. to keep track of your things.

2: Follow all instructions on time. Your teacher isn't going to wait for you to turn in your assignment. If you don't turn it in on time, then you will get a 0 for your grade. Keep up on your assignments.

If you find these helpful, Please mark me brainliest.

Explanation:

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According to Marx, what are the strengths of the proletariat?

babymother [125]

Answer:

In the theory of Karl Marx, the term proletariat designated the class of wage workers who were engaged in industrial production and whose chief source of income was derived from the sale of their labour power.

A strength of marxism is that this theory analyses power and conflict in society. It explains why there is such an uneven distribution of power and wealth between social classes.

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3 years ago