写真の問題の赤線部についてですが、なぜn≧1と書く必要があるのでしょうか？ その上の行でΣとCをすでに使っていますが、ΣとCのnの部分は定義から、n≧1だから、赤線部の前にn≧1という条件はすでに考慮してるのではないのでしょうか？解説おねがいします。

基礎問 P 44 はさみうちの原理(I) 次の問いに答えよ. (1) すべての自然数nに対して,2"> n を示せ. AOAO k-1 (2) 数列の和 S. = 2 (1) anで表せ△〇〇〇 k=1 (3) lim Sm を求めよ. △△△△ n→∞ |精講 (1) 考え方は2つあります。 I. (整数)” を整式につなげたいとき, 2項定理を考えます. PROCE (数学ⅡI・B4 ⅡI. 自然数に関する命題の証明は帰納法 (数学ⅡI・B 136 Fet (2) Σ計算では重要なタイプです. (数学ⅡB 120 S=Σ(kの1次式) k+c (r≠1) は S-S を計算します. (3) 極限が直接求めにくいとき, 「はさみうちの原理」という考え方を用います. bn≦an≦en のとき limb=limcn = α ならば liman=α n→ 00 n→∞ n→∞ この考え方を使う問題は,ほとんどの場合,設問の文章にある特徴がありま す. (ポイント) どういう意味? 解答 (1) (解I)(2項定理を使って示す方法) n (x+1)=2nCkck に x=1 を代入すると k=0 2"=nCo+nC1+nC2+..+nCn ¹) n=1 F²³5, 2²nCo+nC₁=1+n>newhere 2">n ( 解ⅡI) (数学的帰納法を使って示す方法 ) 2"> n (i) n=1のとき 左辺=2,右辺=1 だから, ①は成りたつ

visionQuestです。 大門3番一番から五番まで教えてほしいです。 日本語訳も教えてくれると嬉しいです。 お願いします🙇‍♀️

0 4. Whenever wherever/however 1 [whatever/Wh 3下から適切な関係詞節を選んで加え, 英文を完成させなさい。 AB 1. Please call again after 8:00 p.m., 2. I know a good place 3. I couldn't understand the reason 4. He finally visited Kyoto Aquarium, 5. The New Year is a time 興味のあることは何でもやりなさい (a) when my sister is at home. (b) where we can see wild birds. (c) when my relatives get together. (d) why he had kept me waiting so long. (e) where he had long wanted to go. すよ L10 C 関係詞 ③ 83

至急頼みます！教えてください🙏

and Think 2 ords tər(z)] 続いて, レポーターがとなり町の若葉市の外国人支援の取り組みを紹介しています。 bt if ? What did Wakaba City have yesterday? are coming to live in Japan. The number of tourists visiting Japan is Every year, more and more foreign people growing, too. Many of them don't know what to do in an earthquake. It's necessary for us to be prepared to help them. Wakaba City had an evacuation drill for foreign In the drill, they residents and visitors yesterday. experienced some simulations and learned how they can protect themselves. They followed instructions given in English and easy Japanese. The city handed out an evacuation map made by Wakaba Junior High School students. The map uses simple symbols and pictures. It shows people where they should go in a disaster. 10 We interviewed some students at the school. One said, "We're glad to help foreign people. It's important for everyone to help each other and work together." Yesterday was a good start. Everyone should be prepared. [144 words] 15

Unit5 －2です。教えてください

sal D 番 BUICHIBE ます he' you で s te ⑨ どこで昼食を食べるべきか私に教えてくれますか。 Can you tell have lunch? STEP3 日本語に合うように①から⑥は( )内の英語を並べかえて書きましょう。 また、 (ア) ⑧ は日本語に合う英文を書きましょう。 (5点×6) . ① 私の兄は私にダイビングのしかたを教えてくれました。 My brother (dive / taught / how to/me/. ) My brother ② いつあなたに電話をするべきかを私に教えてください。 Please (me / call you / when / tell / to / ) ③ 私があなたにシャワーの使い方を見せましょう。 I'll (how/show/to/ this shower / use / you /. ) ④ ヤマダ先生はエマに漢字の書き方を教えました。 Ms. Yamada (to / Emma / write / taught / kanji / how/.) ⑤ 沖縄でどこを訪れるべきか私たちに教えてくれますか。 (us / visit / can / to / where / you / tell) in Okinawa? ⑥ この博物館で何を見るべきか私たちに教えてください。 (what / us / please / in the museum / see / tell / to / . ) ⑦ 彼女は私にこのカメラの使い方を見せてくれました。 ⑧ 明日どこへ行くべきか私に教えてください。 /30 Try! 次の対話を完成させよう。 駅で、券売機の使い方が分からなくて困っている外国人旅行者を見かけました。 「切符の買い お見せします。」 と申し出よう。

①〜④の質問の答え方を教えてください！！

Words ke ] [térǝbl] éikiŋ] v] -d] əli] nt(s) Case 1 (日本在住のバングラデシュ人男性) When the earthquake began, I didn't know what was happening. After the terrible shaking, I ran Age out of the house with my wife. We didn't know where to s go, so we drove to a supermarket parking lot. We stayed in our car for five hours. We were too scared to get out. Finally, we spoke to a police officer passing by. He guided us to the local shelter. I didn't know about it until then. Case 2 ( 旅行中だったフランス人女性) My friend and I took a day trip by train. On the way back, there was a big earthquake. Trains stopped running. The announcements at the station were in Japanese. We looked on the internet, but 15 all the latest information there was in Japanese, too. 10 Fortunately, there was a woman speaking to some travelers in English. She told us how to go back. [142 words]

①〜④の質問の答え方を教えてください！！

本文を読んで,次の質問に答えましょう。 Is the number of tourists visiting Japan growing? The fo In the drill, what did the foreign residents and visitors learn? 3 What does the map made by the students use? 4 Why do the students feel glad?

①～④の質問の答え方を教えてください！！

それぞれのCaseについて,次の質問に答えましょう。 Case 1 Edithe thout with my After the terrible shaking, did the man and his wife know where to go? 2 How did they get to the local shelter? Case 2 3 What happened to trains after the big earthquake? 4 Did the tourists find the latest information in English on the internet?

英文構造質問です！ is the important〜need ofthe human soul. でどうして「人間の魂が必要としている〜」になるのですか？？ 人間の魂を、じゃなくて人間の魂が、なのが納得できません 受身の要素もあってこんがらがってます よろしくお願いします

第2段落 ¹Yet even as we enjoy the opportunities of the borderless economy and the varieties of world music and our ability to appreciate the cultures of the world in our living rooms, we fail sometimes to consider where we are going or what we might be losing. "To be rooted," wrote the philosopher Simone Weil, "is perhaps the most important and least recognized need of the human soul." And in our dawning age of rootlessness, we tend to speed into the future without counting the bends in the road.

8番なんですけど答えがなんで④になるのか分からないです💧💧①じゃない理由を教えて欲しいです

(1) that 8. I am not in a position ( 1 which lei 2 which (2) what 11 to 3 in that son 4 in which ) I can comment on that. 3 when (4) where ) to visu archow 000 juods est que

答えに解説がなくて困ってます。 下の長文を翻訳してください。

〔Ⅰ〕 次の英文を読み. 設問 1~21 に答えよ。 Sandy lives in an apartment so small that when she comes home from shopping, she has to decide what to move out to make room for her purchases. She struggles day-to-day to feed and clothe herself and her four-year-old daughter on money from freelance writing jobs and helping neighbors. (2) Her ex-husband has long since disappeared down some unknown highway, probably never to be heard from again. As often as not, her car decides it needs a day off and refuses to start. That means bicycling (weather permitting), walking or asking friends for a ride. 13 The things most Americans consider essential for survival- a television. microwave, big freezer and high-priced sneakers are far down Sandy's list of "maybe someday" items. (5) Nutritious food, warm clothing, an affordable apartment, student loan payments, books for her daughter, absolutely necessary medical care and an occasional movie eat up what little money there is to go around. Sandy has knocked ) more doors than she can recall, trying to find (7) a decent job, but there is always something that doesn't quite fit-too little experience or not the right kind, or hours that make child care impossible. Sandy's story is not unusual. Many single parents and older people struggle with our economic structure, falling into the gap between being truly self-sufficient and being poor enough that the government will provide assistance. What makes Sandy unusual is her outlook. "I don't have much in the way of stuff or the American dream," she told me with a genuine smile. "Does that bother you?" I asked. "Sometimes. When I see another little girl around my daughter's age who has nice clothes and toys, or who is riding around in a fancy car or living in a fine house, then I feel bad. Everyone wants to do well for their children." she replied. "But you're not angry?" "What's to be angry (9) and I have what is really important in life," she replied. "And what is that?" I asked. (10) "As I see it, no matter how much stuff you buy, no matter how much )? We aren't starving or freezing to death. (11) money you make. you really only get to keep three things in life." she said. "What do you mean by 'keep?" (12) "I mean that nobody can take these things away from you." "And what are these three things?" I asked. "One, your experiences: two, your true friends; and three, what you grow inside yourself." she told me without hesitation. (13) For Sandy, "experiences" don't come on a grand scale. They are so-called ordinary moments with her daughter, walks in the woods, napping under a shady tree, listening to music, taking a warm bath or baking bread. Her definition of friends is more expansive. "True friends are the ones (15) who never leave your heart, even if they leave your life for a while. Even after years apart. you pick up with them right where you left off, and even if they die, they're never dead in your heart," she explained. 16 ) to each of us. (17 As for what we grow inside, Sandy said, "That's ( isn't it? I don't grow anger or sorrow. I could if I wanted to, but I'd rather not." "So what do you grow?" I asked. Sandy looked warmly at her daughter and then back to me. She pointed toward her own eyes, which were shining with tenderness. gratitude and a sparkling joy. "I grow this." From the book Chicken Soup for the Woman's Soul by Jack Canfield. Mark Victor Hansen. Jennifer Read Hawthorne, and Marci Shimoff. Copyright 2012 by Chicken Soup for the Soul Publishing, LLC. Published by Backlist. LLC. a unit of Chicken Soup for the Soul Publishing. LLC. Chicken Soup for the Soul is a registered trademark of Chicken Soup for the Soul Publishing, LLC. Reprinted by permission. All rights reserved.