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3 years ago

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Advanced Placement (AP)

2 answers:

jolli1 [7]3 years ago

8 0

Answer:
From crest to crest

Step by step explanation

Gelneren [198K]3 years ago

4 0

Answer:

i think D

plz correct me if im wrong ill change the answer

but can i have brainliest after i change the answer correctly

Explanation:

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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

4 years ago

Why did Christianity take hold in some places more than in others?

zepelin [54]

- Christianity integrated most fully into regions where European colonial powers ruled, where there was an overwhelming European presence, where the established society had been defeated and disrupted, and where no literate world religion was already established.
- It had the least impact when it had to operate with the permission of non-Christian rulers, when it sought to convert in a society that was stable and well established, and when it sought to convert in a region where a literate world religion already existed.

Source: https://www.coursehero.com/file/p6tre7v/Big-Picture-Questions-1-Why-did-Christianity-take-hold-in-some-places-more-than/

5 0

3 years ago

A student surveyed 226 classmates to see if they owned a dog or cat. There are 131 students who own a dog and 85 who own a cat.

Verizon [17]

C) 85
B) 46
D) 131
All you have to do it plug in the cats owned for c and dogs owned for d and then subtract the two for b. Hope that helps!

3 0

3 years ago

The Sun and stars do not move. True False

Roman55 [17]

Answer:

True

Explanation:

The sun and stars do not move the sun is orbited by the many planets but it does not move

6 0

3 years ago

Read 2 more answers

What are the main differences between the House of Representatives and the Senate?

Reptile [31]

Answer:

the differance between the house of represenates is that the house has 100 and the senate has 435

Explanation:

3 0

3 years ago