66について教えて欲しいです。 ①から②を引いて、から分からないです。 お願いします🙇

- 1 44k-3 4k+1/ 66 (1) Sn = 1.1+2.3+3.32 +4.33+... とする。 ①の両辺に3を掛けて +n・3n-1 ... ① 3Sn=1・3+2・3 + 3・3 + ･･･ +(n-1)・37-1 + n•3 ... ② は ①から②を引いて ( -2S=1・1+1・3+1・3% + 1・3° + ・ = = 3+1.32+1·33+... e +1.3"-1-n・3" = ( 1 +3 +32 + 3°+･･･ + 3″-1) 1. (3"-1) - n.3n -n3n 3-10 } = 2 したがって (SI++E Sn= =- = {(1-2n) 3"-1} 4 {(1-2n) 3" -1} &= {(n-1)・3+1} (2) S=1·r+3・re +53 +7.ra+... とする。 + (2n-1)r" ... ① (1) 0 21 ①の両辺にを掛けて PO 24

動名詞の問題です。教えてください。

1.次の文の( )に入る適当な語句を ① ~ ④ から選びなさい. (1) My father has to avoid ( ①eat ) after 9:00 p.m. 2 eaten eating to eat (REX) (2) The only objection to ( be hired (3) ( Stare Staring ) him is that he can't drive. have hired hiring ) at a computer screen for a long period of time causes severe eyestrain. (4) A: What's wrong with the toaster? ③hire 創価大 Stared The staring [高崎経済大*] B: It just ( ). alquoq stopped working stopped to work 3 stopped for work stopped to have worked (専修大) (5) I could not help ( being shocked ) when I heard the bad news. 2 shock shocking to shock [近畿大] (6) Please remember ( to tip ) your waiters if you are pleased with their service. to be tipped tipping having tipped [札幌大)

時制の問題です。教えてください。よろしくお願いします

2. 次の英文には誤りが1か所ずつある。 番号を答えなさい. (1) A: Have you seen her recently? B: Yes, I've seen her only yesterday. We spent half an hour chatting over a cup of coffee [東邦大 (2) While he has been walking, the idea for the end of his poem came into his head. CARA one. 東邦大) (3) I'd left my umbrella on the train again! I'll have to buy another (4) When you will have finished mowing the lawn, come to the garage and the new shelves. help me put up (同志社女子大)

英語の問題です。 24番に入るのは4になるらしいのですが、音源の写真を撮るとはどういうことでしょうか？ また、直前に写真を撮ったとあったので2を選んだのですが、なぜだめなのでしょうか？

For a long time, people who lived on an island off the west coast of Africa reported hearing unusual sounds coming from the island's forests at night. However, nobody knew what was making them. The mystery was finally solved when scientists took a photo 24 ). It was a kind of owl. The following year, scientists caught one of these birds and discovered that it was a new species. Scientists had guessed that there must be owls on the island, but 41 1 11 1

形容詞、副詞のイディオムの問題です、答えあっていますでしょうか😭😭1、7、9の訳を教えて下さると助かります、、🥲🥲

1 英文中の空所に入る適切な語または語句を選択肢から選びなさい。 LE 1. She is a famous artist, known() her dynamic work. be known for AAで知られている 彼女は有名なアーティストで、 ①for ②by ③ to ④ at 〈中京大〉 もしあなたが事業を担当しているなら、あなたはそれに対して責任がある。 ) it. "be responsible for A ~を担当して ① critical of ~の責任者で ③ responsible for ② satisfied with (4 tired of Aに対して責任がある <専修大〉 2. If you are in charge of a project, you are ( 彼女は外交官になることを夢見ているが、彼女はその仕事のために英語が得意でないといけないことを知っている 3. She is dreaming of becoming a diplomat) but she knows she has to be good ( ) English (for the job) ① of ② at ③③ for ④ on > 私の息子が私に1等賞をとったとはなしたとき、私は彼を誇りに思った。 be good at A Aが得意である 〈清泉女子大 > 4. When my son told me that he had won first prize, I was very ( ) of him. be proud. eatool Aを誇りに思う A ① pride ② proudly ③ to pride ④proud ((大) 私たちはお金が不足していたので、タクシーではなくバスを利用した 5. We took a bus not a taxi, because we were ( 〈 名古屋学院大〉 now of cash be short of A Aが不足している ① few ② little ③ poor ④short 〈京都医療科学大〉 その女性は完全に他の問題 the trouble of others. be indifferent to AAに無関心である には興味がない。 6. The woman is quite ( かなり ① incapable ② incredible ③ independent indifferent 近い将来穀物生産は終了し、(B) 〈関西学院大 〉 )on 7. In the near future, grain production will end, and it will leave the country totally( imported grain. to be ① depend 2 independence (3 dependent 若い人々は求人市場の否定的な傾向を気にかける。 so be dependent on A Aに依存 ④ independent 8. Young people are a Bg by 7+ 1 1 1 1 1 6 arket ① disappointed that している <専修大〉 S ) negative trends in the job market. be concerned about A ② surprising about Aを気にかける <金) ③ boring with ④ concerned about 避妊のすべての形態に反対する保守的な立法者もいる。 buоTS TH ni lewe s < 東京都市大〉 9. Some conservative lawmakers are ( ) to all forms (of birth contro). be opposed to A (大平) bo ① against ② counter ③ disagree Patti 人に反対する opposed 〈 青山学院大 >

答えは②なんですけど、他の選択肢はどこがダメなのか分かりません。解説が欲しいです。おねがいします🙇🏻‍♀️

1. () the general election will be put off is certain. d①What A2 ② That (3) Whether ④ If ad 2 I was surprised at th 1 1 1 「

答えは①です。この時文末が、〜when asked for.になるんですけど、forの後ろには何か省略されてると思うんですけどどうして省略できるのか教えてください😿

8. Advice is like salt it should be used sparingly when ( - ). ①1 asked for 2 asking for (3) to ask ④ to be asked 1 •1 1 to the cicct by next week

間違っているところがあったら教えてください🙇‍♂️

1 Choose the best answer to fill in the blanks. (81) (1) Peter ( 1 teaches 3 will teach ) for ten years next month. 2 will be teaching will have taught /13 ( 東京電機大 ) (2) In my class, there are three students from abroad. One is from England and ( are from Australia. ①another (3) Our teacher is ( 2 others 3 the other the others ) to come by the time we promised to get together. 2 possible 3 probable A definite ) of the two men standing at the gate. I likely (4) My father is ( 1 more tall 2 taller (5) My parents objected ( ①to my climbing 3 the tall ) the mountain alone in winter. 2me of climbing 4 on me to climb the taller (京都産業大) (関西学院大) (近畿大) ト TИIO (千葉工業大) hearing (実践女子大 ). to consider (摂南 3 me to climbing (6) She had to shout to make herself ( I have heard 2 hear ③ heard (7) The project could be called a success, all things ( 2 considered 3 considering ) the sky, it will rain this afternoon. 1 consider (8)( ①Judging from 3 Though 2 Generally speaking ④It being (9) You must leave now; ( ), you will be late for your social studies class. ①instead 2 therefore 3 otherwise accordingly (10) We are now in the ( ) half of our training camp. 1 late 2 latter 3 later ④last ) wise and hardworking. 3 need ④needed (大阪学 (センタ (11) All teachers and students are not ( ①necessarily (12)( 2 necessary ) had the war begun when ①The moment ? No wonder terrorists hijacked a plane. 3 Hardly (13) Next week's seminar ought to provide ( 1 ours our ④As soon as ) with a lot of new information. ourselves 4 us

これらの問題解いてみたんですけどあっているかわかりません、 空白の部分も教えて欲しいです🙏🏻

1 Make sentences from the words in brackets. 1) I can't find my bike key. I (lose / it). → I have lost it. 1) We (miss/the bus). Let's take the train. We - 2) Are you hungry? No, I (just/have/lunch). No, I 3) (Paul/come/home/yet)? 4) Is this book interesting? I Yes, and he (already/go to bed). Je? Yes, and he I don't know. I (not/read/it/yet). Fill in the blanks. Use the verbs in the brackets. 1) I really love this movie. I ( 2) What's Masaki's brother like? (1-1) (1-2, 3) ) it three times. [see] [meet] I have no idea. I ( ) never ( ) him. I have no idea. 「わからないよ。」 4) Have you ever 5) The sun has ( )( ) married for 20 years. to Jim? Yes, several times. He's a funny person. ) since this morning. Lake [be] [talk] [shine] 3) My parents have ( 3 Choose the better option. 1) Is your bag new? No, I (had/have had) it for a year.ieds noee-bed by B 2) Sue and I (know/have known) each other since we were children. 3) My father (visited / has visited) many countries when he was young. 4) Is Ren still studying in his room? - Yes. He (is studying/has been studying) for more than two hours. 5) Have you seen Jill recently? erw arcey ar I (saw/have seen) her three days ago. got Put the Japanese sentences into English. M 1) ケンはどこ? 佐藤先生が探してるよ。 一 たった今、家に帰ったよ。 raw.or Where is Ken? Mr. Sato is looking for him. He lob need bad) ( (prepare for) 2) 私はまだ旅行の準備ができていません。 I have 3) 佐々木先生はこの学校で教えて8年になります。 4) 今朝起きたときからずっと頭が痛い。 Give It a Try A Complete the sentences. 1) 2) 3) Have you finished your book report*? Well, I've read the book, but I B Write about yourself. 1) I have never 2) I have been to Okinawa? this bike? (have a headache) Yes, once. I want to visit it again. I have been using it for five years. book report [BAX the report yet.

間違っているところがあったら教えてください🙇‍♀️

Despite (3) Please remember ( be waked 2 In spite of③Although ④But for ) me up at 7 o'clock tomorrow so I can get to school on time. 2 to wake 3 waking (4) Take this coat to the laundry. It's so dirty that it ( 1 needs to wash 2 has it cleaned 4 woke 3 needs washing ①wants cleaned (5) We are likely to have a warm winter this year for the first time ( ①in ten years ③ past ten years (6) ( 2 over ten years' period ①ten years ago ) asked Michael about the matter, he wouldn't say a word. ①Anyone 2 Even if 3 However ) me go out with Tom. 2 allow 3 prevent (7) My father would not ( 1 let (8) But ( ①against ). (東京経済大) (玉川大) (立教大) ④Whoever (摂南大) ④ resist ) the rain and cold wind, we would have had a nice holiday. 2 from 3 of ④ for (西南学院大) (昭和女子大) (9) Miki and her family ( ) out of town. I have called several times, but there is no answer. I could go (10) ( 1 Either 2 must be 3 should go ) it is fine or not, the football game will take place. 2 Neither 3 Though (11) It's ( ) that I'd like to take my dog for a long walk. would be (南山大) ④Whether (獨協医大) ①such a beautiful day 2 a so beautiful day 3 such beautiful a day a beautiful day so (高知大 (12)( ) will be elected as the next chairperson? ①Do you think who 2 Do you think whom 3 Who do you think ④Whom do you think (国士 1 a day (14) To read a foreign language is ( 1 few 2 one 2 at a day 3 other (13) Here's your medicine. Take one capsule three times ( ) thing, to speak it is quite another. 5 this ④some 3 by a day ), after each meal. ④for a day (東北学