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3 tháng 10

Đặt `A= 1/3 + 1/(3^2) + 1/(3^3) + ... + 1/(3^99) + 1/(3^100)`

`3A=  3. (1/3 + 1/(3^2) + 1/(3^3) + ... + 1/(3^99) + 1/(3^100))`

`3A=  1 + 1/3 + 1/(3^2) + ... + 1/(3^98) + 1/(3^99)`

`3A - A = (1 + 1/3 + 1/(3^2)+... + 1/(3^98) + 1/(3^99)) - (1/3 + 1/(3^2) + 1/(3^3) + ... + 1/(3^99) + 1/(3^100))`

`2A = 1 - 1/(3^100)`

`A = (1 - 1/(3^100))/2`

Vậy: `1/3 + 1/(3^2) + 1/(3^3) + ... + 1/(3^99) + 1/(3^100) = (1-1/(3^100))/2`

3 tháng 10

   A =         \(\dfrac{1}{3}\) + \(\dfrac{1}{3^2}\) + \(\dfrac{1}{3^3}\) + ... + \(\dfrac{1}{3^{99}}\) + \(\dfrac{1}{3^{100}}\)

3A =   1 + \(\dfrac{1}{3}\) + \(\dfrac{1}{3^2}\)+...+ \(\dfrac{1}{3^{98}}\) + \(\dfrac{1}{3^{99}}\)

3A - A = (1+ \(\dfrac{1}{3}\) + \(\dfrac{1}{3^2}\) + ...+\(\dfrac{1}{3^{98}}\) + \(\dfrac{1}{3^{99}}\)) - (\(\dfrac{1}{3}\) + \(\dfrac{1}{3^2}\)+..+\(\dfrac{1}{3^{99}}\)+\(\dfrac{1}{3^{100}}\))

A.(3 - 1) = 1 + \(\dfrac{1}{3}\)+\(\dfrac{1}{3^2}\)+..+\(\dfrac{1}{3^{98}}\)\(\dfrac{1}{3^{99}}\) - \(\dfrac{1}{3}\) - \(\dfrac{1}{3^2}\) - ...- \(\dfrac{1}{3^{99}}\) - \(\dfrac{1}{3^{100}}\)

A x 2 =  (1 - \(\dfrac{1}{3^{100}}\)) + (\(\dfrac{1}{3}\) - \(\dfrac{1}{3}\)) + (\(\dfrac{1}{3^{98}}\) - \(\dfrac{1}{3^{98}}\)) + (\(\dfrac{1}{3^{99}}\) - \(\dfrac{1}{3^{99}}\))

A x 2 = 1 - \(\dfrac{1}{3^{100}}\) + 0 + 0 + ..+ 0

A x 2 = 1 - \(\dfrac{1}{3^{100}}\)

A = \(\dfrac{1}{2}\) - \(\dfrac{1}{2.3^{100}}\) 

3 tháng 10

C

NV
4 tháng 10

\(10\) chia hết cho 5 nên \(10^{2021}\) chia hết cho 5

Mà 8 ko chia hết cho 5

Nên \(10^{2021}+8\) không chia hết cho 5

D đúng

3 tháng 10

   ƯC (42, 55, 91)=1

 

3 tháng 10

A={1;3;2}

2 tháng 10

1 danh từ (noun)

2động từ( verb)

3 tính từ(adjective)

4 trạng từ( adverb)

5 Giới từ( preposition)

6 Từ hạn định( determiner)

7 đại từ( pronoun)

8 Liên từ( con junction)

9(Thán từ(interjection)

...

3 tháng 10

Bài dạng của từ đúng ko em

2 tháng 10

a) He is from Britain, but most people thought he is from America

b) If you are Japanese, you will be thought a polite person

c) Because we are Russian, we are thought to love drinking Vodka 

1 tháng 10

ai trả lời được tick nha 

là học chăm vào đừng chs game nữa

 

1 tháng 10

Complete the second sentence so that it means the same as the first one. Use the word in brackets. (1 point)

Question 1: The school has a science lab for experiments. (There)  

➝ _____There is a science lab_________ for experiments in the school.

Question 2: Are there new computers in the library? (have)

➝ _______Does the library have new computers________?

Question 3: The camera is on the desk. The camera belongs to An. (An’s)

➝ _______An's camera is on________ the desk. 

Question 4: Tony doesn’t eat pizza for breakfast. Tony doesn’t eat chocolate for breakfast. (or)

➝ Tony  ________doesn't either pizza or chocolate_______ for breakfast.

1 tháng 10

Question 1: The school has a science lab for experiments. (There)  

➝ ___There is a science lab____________ for experiments in the school.

Question 2: Are there new computers in the library? (have)

➝ ____Does the library has new computers___________?

Question 3: The camera is on the desk. The camera belongs to An. (An’s)

➝ _______An's camera is on________ the desk. 

Question 4: Tony doesn’t eat pizza for breakfast. Tony doesn’t eat chocolate for breakfast. (or)

➝ Tony  ___doesn't eat pizza or chocolate____________ for breakfast.

DH
Đỗ Hoàn
CTVHS VIP
1 tháng 10

Tham khảo ạ:

My favourite character from my book is Margot Robbie. She is a nice character and many people also love her. She loves her profession very much. I love her because she really beautiful.