1. Turn on (please+Vo)

2. Turned / off (was chia qk)

3. Look for

4. Got up (because S+ had+V3/ed, S+V2/ed)

5. Ran into( hai hd lien tiep)

6. Goes on (after S+V2/ed, S+Vht)

c)\(\left(1+\dfrac{1}{2}\right)\left(1+\dfrac{1}{3}\right)\left(1+\dfrac{1}{4}\right)....\left(1+\dfrac{1}{2020}\right)\left(1+\dfrac{1}{2021}\right)\)

\(=\left(\dfrac{1.2}{1.2}+\dfrac{1}{2}\right)\left(\dfrac{1.3}{1.3}+\dfrac{1}{3}\right)...\left(\dfrac{1.2021}{1.2021}+\dfrac{1}{2021}\right)\)

\(=\dfrac{3}{1.2}\cdot\dfrac{4}{1.3}\cdot\cdot\cdot\cdot\dfrac{2022}{1.2021}\)

\(=\dfrac{3.4.5...2022}{\left(1.1.1....1\right)\left(2.3.4...2021\right)}\)

\(=\)\(\dfrac{3.4.5...2022}{2.3.4...2021}\)

\(=\dfrac{2022}{2}=1011\)

\(d\))\(\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)....\left(1-\dfrac{1}{199}\right)\left(1-\dfrac{1}{200}\right)\)

\(=\left(\dfrac{2}{1.2}-\dfrac{1}{1.2}\right)\left(\dfrac{3}{1.3}-\dfrac{1}{1.3}\right)....\left(\dfrac{200}{1.200}-\dfrac{1}{1.200}\right)\)

\(=\dfrac{1.2.3....199}{\left(1.1.1....1\right).\left(2.3.4....200\right)}\)

\(=\dfrac{1.2.3...199}{2.3.4...200}\)

Nếu mik làm sai mong bạn thông cảm

1/200

a: Xét tứ giác AOBM có

góc OAM+góc OBM=180 độ

=>AOBM nội tiếp

b: \(cosAOM=\dfrac{OA}{OM}=\dfrac{1}{3}\)

nên \(\widehat{AOM}\simeq71^0\)

=>\(\widehat{AOB}\simeq142^0\)

=>sđ cung nhỏ AB là 142 độ; sđ cung lơn AB=360-142=218 độ

c:

Xét (O) có

ΔBAC nội tiếp

BC là đường kính

=>ΔBAC vuông tại A

=>BA vuông góc AC

Xét(O) có

MA,MB là tiêp tuyến

nên MA=MB

mà OA=OB

nên OM là trung trực của AB

=>OM//AC

góc ACB=góc OAC

góc OAC=góc AOM

=>góc ACB=góc AOM=góc BOM

d: góc DOM+góc BOM=90 độ

góc DMO+góc AOM=90 độ

mà góc BOM=góc AOM

nên góc DOM=góc DMO

=>DO=DM

Đề bài đây ạ 

\(B=2+2^2+2^3+2^4+...+2^{99}+2^{100}=2\left(1+2^2+2^3+2^4\right)+...+2^{96}\left(1+2^2+2^3+2^4\right)=2.31+2^6.31+...+2^{96}.31=31\left(2+2^6+...+2^{96}\right)⋮31\)

B=2+22+23+24+...+299+2100=2(1+22+23+24)+...+296(1+22+23+24)=2.31+26.31+...+296.31=31(2+26+...+296)⋮31

1. However => Therefore

2. so => but

3. and => but

4. and => but

5. Because => Therefore

6. or => because

7. or => but

8. and => or

9. but => or

10. so => because