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Mathematics Senior High

合同式を用いた回答の方が分からないのですが、なぜ偶数と奇数で場合分けをしているのですか?

534 ME XX 00000 重要 例題 100 等差数列と等比数列の共通項 列{an}の項でもあるものを小さい方から並べて数列{cn} を作るとき, 数列{cn 数列{an}, {bn}の一般項を an=3n-1,bn=2” とする。 数列{bn}の項のうち、数 の一般項を求めよ。 重要 93 基本 99 指針▷>2つの等差数列の共通な項の問題(例題93) と同じように,まず,a=bmとして、1mの 関係を調べるが, それだけでは {cn}の一般項を求めることができない。 そこで, 数列{an}, {bn} の項を書き出してみると,次のようになる。 (an): 2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, {bn}:2,4,8,16,32, Handlin を順に調べ、規則性を Ci=b, Ca=b3, C3 = bs となっていることから,数列{bn}を基準として, 6m+1 が数列{0.² の項となるかどうか, bm+2 が数列{an} の項となるかどうか、 見つける。 解答 a1=2, b=2であるから C1=2 数列{an}の第1項が数列{bn}の第m項に等しいとすると 3l-1=2m U-18 ゆえに bm+1=2m+1=2m・2=(3-1)・2 = 3.21-2 よって, bm+1 は数列{an} の項ではない。 ①から bm+2=26m+1=3.4l-4 =3(4-1)-1 ゆえに, bm+2 は数列{an} の項である。 したがって {C}:b1,63,65, 数列 {cm} は公比 22 の等比数列で, C1 = 2であるから Cn=2.(22)"-1=22n-1 22n=4"=1"≡1(mod3) [2] m=2n-1(nは自然数) とすると 規測性から 答えを予想はできたこ SS 3・O-1 の形にならない。 JANE 重要 初項が 10g10 3= 141) 10 △×(2) 初 30 \-=b (s) 7V=5,2V=D 検討 合同式(チャート式基礎からの数学A 参照) を用いた解答 3n-1=-1≡2(mod3) であるから, 2" = 2 (mod3) となるmについて考える。 [1] =n(nは自然数) とすると 1970 4" cn=122 などと答えてもよ L 22n-1=22(n-1).2=4”-1.2=1"-1.2=2 (mod3) [1],[2] より,m=2n-1 (nは自然数) のとき 2” が数列{cm} の項になるからコ Cn=bzn-1=22n-1 指針> 練習 数列{an},{bn}の一般項をan=15n-2, bn=7.27-1 とする。 数列{bn}の項のう (4) 100 ち,数列{an}の項でもあるものを小さい方から並べて数列{c,}を作るとき, 数列 {cn}の一般項を求めよ。 .631 02 解答 (1) 初 103- 各 ゆ よ す n G

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English Junior High

これも教えてください。

4 次の対話がなりたつように, (1) GRAUD (1) (2) Why are you so sleepy? I I midnight. に適する語を書きなさい。 (2) until until midnight. 10:00 5 次の表は、ある日の由美 (Yumi) のスケジュールです。 これを見て、あとの問いに英語で答えな さい。 12:00 | バスケットボールの練習 | 昼食 13:00 Can I have one? 1 図書館で勉強 you eat it. 16:00 16:30 帰宅 | (雨でなければ) 犬の散歩 17:30 you eat it. (1) What is Yumi going to do before she has lunch? (2) What is Yumi going to do after she comes home if it is not raining? (2) Why was Ken sad when he got up? (3) What do you usually do after you get home from school? Write your answer in English. 6 次の英文を読んで,あとの問いに英語で答えなさい。 My aunt lives in Nagano. She works in the hospital as a nurse every day, so she's very busy. But she always makes a delicious cake for me when I visit her. Last summer I stayed with her for two weeks. One day she said, "Shall we climb a mountain if it's fine tomorrow, Ken?" When we got up at six o'clock the next day, it was raining. So we couldn't go out soon. I was sad. But the sun appeared from We behind the clouds at seven thirty! We went out and climbed the mountain. enjoyed it. I hope that I will climb the mountain with my aunt again next summer. (1) What does Ken's aunt do for him when he visits her? 63

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Chemistry Senior High

黄色の硫酸イオンは硫酸ナトリウムの硫酸を奪ってったんですか? Ba(OH)2をいれたときの容器内のイオンと塩をおしえてほしいです。

論述 156. アンモニアの発生と中和■次の文を読み、 下の各問いに有効数字2桁で答えよ。 塩化アンモニウムと硝酸ナトリウムとの混合物 4.25gを水に溶かして300mLの溶液 10 をつくった。この溶液を30.0mLとり 水酸化ナトリウムとともに加熱し,発生する 気体をすべて 50.0mL の 希硫酸に吸収させた。 気体を吸収させたのちの溶液中に 残った硫酸を中和するために, メチルオレンジを指示薬として, 0.100mol/Lの水酸 化ナトリウム水溶液を少しずつ加えたところ 25.0mL を要した。 また, 滴定後の溶液に 水酸化バリウム水溶液を十分に加えると, 700mgの沈殿が生じた。 (1) 下線部①の操作で使用する器具の名称を記せ。 また、この器具が蒸留水でぬれて いる場合, すぐに用いるにはどうすればよいか。 20字以内で述べよ。 下線部②の気体が発生するときにおこる変化を化学反応式で記せ。 (3) 下線部④の指示薬を使ったときに見られる色の変化を記せ。 また, この指示薬を 使う理由を述べよ。 (4) 下線部③の希硫酸のモル濃度を求めよ。 (5) はじめの混合物に含まれていた塩化アンモニウムの物質量は何mol か。 (6) はじめの混合物に含まれていた硝酸ナトリウムの質量百分率は何%か。 中紀 県立大 My Conne IRENEL CH th

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English Senior High

この問題の答えを教えてください🙏

【ⅢI】 次の(A), (B)の設問に答えよ。 (A)14点,(B) 6点) (A) 次の英文を読んで下の設問に最も適切な解答をせよ。 特に指示のない選択式の設問は記 号を1つ選んで答え, "You may choose more than one option." と指示のある設問に対して複 数の記号を選ぶ場合は, アイウエオ順に解答すること。 Mike: Hello Alex, long time no see! Alex: Hi, it's been almost two years since we last met each other! How were you doing? Mike: Until recently, I was frustrated that I could not meet my friends at university, but I was able to spend more time with my family, so I was okay. By the way, how did you like the online classes? Alex: Personally, I did not like them. It was difficult for me to maintain my concentration at home. Also, I could not resist the temptation of using my smartphone, because there was no supervisor at home who checked whether I was working hard or not. Mike: If you use your phone during class, the professor will definitely tell you off! Mo Alex: Another reason why I prefer in-person classes is that I can ask questions or have discussions with my friends. In the Pre-covid-19 era, when I had questions, I went up to my friend Thomas, one of the best students in our faculty and he taught me everything that I did not understand. Mike: That was a huge issue for me as well. If I have questions piled up, then I am more likely to dislike the subject and have more anxiety towards it. So, my friends and I decided to have meetings online on a regular basis and this helped me to worry less about online learning. Alex: That was really ( 1 ) of you, I should have done that! So, are you in favor of online learning? Mike: Yes, although I have less face-to-face interaction with friends, I like online learning more because I do not have to spend a lot of time commuting to school. I live far away from university and it takes two hours for me to get here by train. B(A) Alex: Really! I did not know that, what time do you wake up? Mike: I usually wake up at 5 am. Alex: That's so early! What do you do on the train? Mike: I just do netsurfing and I do not feel that I use my time productively on the train. If we can continue to take online classes wherever we want, we can get more flexibility in our schedules, We won't have take the time to commute to the university to attend classes, or if we like it, we may even be able to watch lecture videos on our phones while traveling by train. Alex: I understand your opinion, but didn't you have any technical problems? Mike: I only had a few. Besides, most of the professors posted recorded videos of lectures after class. So, I watched the recordings when I missed some parts. Furthermore, I could study at my own pace and the videos allowed me to digest what I had learned. Alex: That's a good point, but it had an adverse effect on my learning. Mike: How? Alex: I started skipping my online classes because I thought I could just watch those recorded videos later. So, just before exams, I had so many videos to watch. Mike: Maybe, traditional classroom settings might be better for people like you. Alex: I think so. Oh, it's time to go to class. Mike: Oh, yeah, have a good day. Alex: You too! 問1 NOTES Topic of the conversation: (2) Standpoint Basis Mike (3) (5) Choose the best one to complete blank 1. 7 because cruel clever I kind 2 Choose the best title to complete blank 2. 7 How to get good results at university Technical issues in online classes Safe remote learning at home I Online learning or learning face to face Alex (4) (6) -11-

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