(BRAINLIEST 30 POINTS)The speaker’s tone might best be described as

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 $T_{2020} = T_3$

$T_{2020} = 15$

3 0

3 years ago

Students in a high school statistics class responded to a survey designed by their teacher. One of the survey questions was “How

maria [59]

The proportion of students that got the recommended amount of sleep is 0.179.

<h3>What is a proportion?</h3>

A proportion can be defined as an expression which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

<h3>How to calculate proportion of students that got the recommended amount of sleep?</h3>

Since the total number of students in this class is 28, we would develop an expression to relate the number of students that sleep at least for 5 hours per night:

Proportion = 5/28

Proportion = 0.179.

Read more on proportions here: brainly.com/question/870035

#SPJ1

Complete Question:

Students in a high school statistics class responded to a survey designed by their teacher. One of the survey questions was “How much sleep did you get last night?” Here is a dotplot of the data: Experts recommend that high school students sleep at least per night. What proportion of students in this class got the recommended amount of sleep? Amount of sleep (h) (Round your answer to three decimal places.)

7 0

1 year ago

Max Points, and Brainliest!

Gemiola [76]

Answer: what the heck of questions is this

Explanation:

7 0

3 years ago

Which information can be determined using half-life?

Kamila [148]

Answer:

Age of the material is the correct answer.

GL!

4 0

2 years ago

Read 2 more answers

The development of popular literary forms, such as Japanese Kabuki theater,

dedylja [7]

Answer:

The answer is number 3, provided an opportunity for writers, artists and actors to acquire higher social standing.

Explanation:

The Japanese Kabuki theater flourished in the 17th century. It came about when a girl named "Izumo no Okoni" started a new style of dancing. It caught the attention of many people and it gradually became popular.

Kabuki is a form of Japanese drama that incorporates music, dancing and acting in one. The actors wear colorful costumes and most of the time, their play depicts the happenings in society. This spark the interest of many writers, artists and actors who were eager to express themselves through the play. Thus, they became popular and were able to acquire higher social standing because people recognized them well.

Number 1 is incorrect because the Japanaese Kabuki theater was also played in town. This means many towns people witnessed it.

Number 2 is incorrect because Japanese Kabuki theater actually increased the people'es literacy rate. Many people learned what was happening in society through the actors and the message of the play.

Number 4 is incorrect because the Japanese Kabuki theater was already happening when the merchants were in economic prestige. It wasn't the reason why they rose on the social and economic scale.

Thus, number 3 is correct.

8 0

2 years ago