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\(A=1^5+2^5+3^5+......+100^5\)
Ta luôn có \(a^n+b^n=\left(a+b\right)\left(.....\right)\) \(\text{∀}\) \(n\) ∈ \(N\) , \(n:\) \(lẻ\)
\(A=\left(1^5+99^5\right)+\left(2^5+98^5\right)+.....+\left(49^5+51^5\right)+100^5+50^5\)
\(A=\left(99+1\right)\left(...\right)+\left(2+98\right)\left(....\right)+....+\left(49+51\right)\left(....\right)+100^5+50^5\)
\(A=100\left(...\right)+\left(40+10\right)^5\)
\(Đặt\) \(P=\left(40+10\right)^5=40^5+10^5+5.40^4.10+10.40^3.10^2+10.40^2.10^3+5.40.10^4+10^5\)
Dễ thấy \(P\) ⋮ 4 \(=>A\) ⋮ 4 \(=>\) đpcm
Exercise 9: Combine these sentences using one of these words: Who, Whom. That, Which, Whose
1. Stop him. He's the man. He stole my wallet. (Who)
=> Stop him. He's the man who stole my wallet.
2. Mr. David comes from England. He has never been to Vietnam. ( who)
=> Mr. David, who comes from England, has never been to Vietnam.
3.I'm staying with the boy. His brother looks very handsome. ( whose)
=> I'm staying with the boy whose brother looks very handsome.
4.We talked about the books and writers. That made us bored. ( which)
=> We talked about the books and writers, which made us bored.
5.Henry is also a member of the board. You'll meet him tomorrow, (who)
=> Henry, whom you'll meet tomorrow, is also a member of the board.
6. Can you answer the questions. I ask you those questions? (which)
=> Can you answer the questions which I ask you?
7. The lady is a teacher at our school. Her son went on a picnic with us last weekend. (whose)
=> The lady whose son went on a picnic with us last weekend is a teacher at our school.
8. He is the only friend. I like him. (whom)
=> He is the only friend whom I like.
9. He can't swim. That makes me surprised. (which)
=> He can't swim, which makes me surprised.
10. We are visiting Ha Long. It is in the north of Viet Nam. ( which)
=> We are visiting Ha Long which is in the north of Viet Nam.
11. They have invented a television set. It is small as a watch. ( which)
=> They have invented a television set which is small as a watch.
12. We visited children. Their parents are dead in that flood. (whose)
=> We visited children whose parents are dead in that flood.
13. I'm talking about Tom. He is really friendly. ( who)
=> 'm talking about Tom who is really friendly.
14. The student did this exercise. He might be very intelligent. (who)
=> The student who did this exercise might be very intelligent.
15. Peter couldn't come to the party last night. That was really a pity. (which)
=> Peter couldn't come to the party last night, which was really a pity.
1)Give the correct tense of the verbs in brackets:
My brother(visit)..has visited........ me before he (go).....went........ to Ho Chi Minh City.
2)Change into passive voice.
Has somebody informed Lan of the change?->....Has Lan been informed of the change....................
3) Make questions for the underline words or phrases.
1.I'm taking French this semester.->..What are you taking this semester?....................
2.She's staying there for two weeks.->......How long is she staying there?.................
3.She is worried about the next examination.->....What is she worried about?...................
4)Rewrite the sentences with the same meaning.
1) Peter wishes he had attened Mary's party.(regret+ V-ing).->...Peter regretted .not to attending Mary's party..............................
2)We had dinner, and then we went to the concert.(After).->....After having dinner, we went to the concert............................
3)People who have lots of money have a comfortable life.(the+ adjective).->..The rich have a comfortable life.......................
4)She likes English best.(Make question).->....What subjects does she like best?.........................
5)They spent two years building the house.(took).->..It took them two years to build the house.......................
6)He wants to learn a foreign language. He's interested in it.(learning).->..He's interested in learning a foreign language................
7)They didn't finish their work. That makes my teacher angry.(using which).->.They didn't finish their work, which makes my teacher angry..........................
8)They no longer play tennis.(using used to).->....They used to play tennis.........................
9)It took him $500 to buy that mobile phone.(Make question).->..How much did he buy that mobile phone?........................
10)Watching that film is interesting(to+ V-infinitive).->...It is interesting to watch that film ..........................
mình đính lại chỗ câu regret là
"Peter regretted not attending Mary's party" bỏ "to" đi nhé. Hhi ^.^
1)Give the correct tense of the verbs in brackets:
My brother(visit).....HAD VISITED..... me before he (go).....WENT........ to Ho Chi Minh City.
2)Change into passive voice.
Has somebody informed Lan of the change?->............HAS LAN BEEN INFORMED OF THE CHANGE?............
3) Make questions for the underline words or phrases.
1.I'm taking French this semester.->.........WHAT ARE YOU TAKING THIS SEMESTER?.............
2.She's staying there for two weeks.->..........HOW LONG IS SHE STAYING THERE?.............
3.She is worried about the next examination.->.............WHAT IS SHE WORRIED ABOUT?..........
4)Rewrite the sentences with the same meaning.
1) Peter wishes he had attened Mary's party.(regret+ V-ing).->...........PETER REGRETED NOT ATTENDING MARY'S PARTY.......................
2)We had dinner, and then we went to the concert.(After).->........AFTER HAVING DINNER,WE WENT TO THE CONCERT........................
3)People who have lots of money have a comfortable life.(the+ adjective).->......THE MORE MONEY PEOPLE HAVE ,THE MORE COMFORTABLE LIFE THEY HAVE..................
4)She likes English best.(Make question).->......WHICH SUBJECT DOES SHE LIKE BEST?.......................
5)They spent two years building the house.(took).->........IT TOOK THEM TWO YEARS TO BUILD THE HOUSE.................
6)He wants to learn a foreign language. He's interested in it.(learning).->......HE IS INTERESTED IN LEARNING A FOREIGN LANGUAGE............
7)They didn't finish their work. That makes my teacher angry.(using which).->....THEY DIDN'T FINISH THEIR WORK WHICH MAKE MY TEACHER ANGRY.......................
8)They no longer play tennis.(using used to).->...THEY USED TO PLAY TENNIS..........................
9)It took him $500 to buy that mobile phone.(Make question).->.............HOW MUCH DID IT TAKE HIM TO BUY THAT MOBILE PHONE?...............
10)Watching that film is interesting(to+ V-infinitive).->..........IT'S INTERESTING TO WATCH THAT FILM...................
1. The children are always fond of sweets such as chocolate cakes.
2. Our teacher sometimes gets angry with us because we do not do our homework.
3. Never do they go to class on time.
4. The workers go to work at 6 a.m. every day.
5. Seldom does it rain in summer here.
6. Sometimes he misunderstands me but it does not matter.
7. He go market twice a week.
8. She is usually afraid of dogs but she likes cats.
9. How often do you go dancing at the club in summer?
10. I often go there three times a week in summer.
The restaurant on that street which my father used to work serves excellent food.
Mr and Mrs. Lam whose daughter is a pop star live next door to us
If you don't finish the homework, the teacher will punish you
I don't finish their homework. That makes my teacher very angry
=> I didn't finish their homework which makes my teacher very angry.
I didn't tớ bấm nhầm