A van moves with a constant speed of 52 miles per hour. How far can it

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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Should the Environment be a federal or state issue?

tatuchka [14]

State , because the state owner , mayor wtv it is , shouldn’t take care of his state , it isn’t a federal problem

8 0

3 years ago

Read 2 more answers

25 PTS!!!!! WILL GIVE BRAINLIEST!!!!

zepelin [54]

Friend

Girl Friend

Friend Ship

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3 years ago

Nearly of the school age pedestrians killed in school bus related crashes were between 5 to 7 years old

Nady [450]

I will definitely feel bad about what happen, try to help if i can by doing fundraising's, going to the family of the included people and donate things for their mental stage.

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3 years ago

Which of the following is the formula for the multiplier?

Goryan [66]

The formula to determine the multiplier(M) is:

M = 1 / (1 – MPC)

where:

MPC=Marginal propensity to consume

What Is a Multiplier?

A multiplier is a broad term in economics that refers to an economic factor that, when increased or changed, causes increases or changes in many other related economic variables. In terms of GDP, the multiplier effect causes total output gains to be greater than the change in spending that caused it.

Typically, the term multiplier refers to the relationship between government spending and total national income. The deposit multiplier is another multiplier used to explain fractional reserve banking.

Often the multiplier formula is considered to be too simple because it ignores some real-world complications. The Reason is:

Option A. The formula ignores the impact of an increase in GDP on consumption.

To know more about multiplier, visit: brainly.com/question/15883095

#SPJ13

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