(2)のマーカーを引いたところが分かりません！ なぜn=k+1とおくのでしょうか？...

思考プロセス 例題 274 2つの等差数列の共通項/260 初項 1, 公差2の等差数列{an} と初項 1, 公差3の等差数列{bn}がある。 (1) 数列{a}と{6}の一般項をそれぞれ求めよ。 (2) 数列{az}と{6}に共通して含まれる項を小さい方から順に並べてで きる数列{c} の一般項を求めよ。 (2) 未知のものを文字でおく {a}の第1項と{6} の第m項が等しいとする。 21-1=3m-2 (l, mは自然数) 21-3m=-1の自然数解 1次不定方程式 Action » 等差数列{an},{bn} の共通項は,a=bm として不定方程式を解け 解 (1) 数列{an} の一般項は an=1+(n-1)・2=2n-1 JU 数列{bm}の一般項は bn=1+(n-1)・3=3n-2 09 (2) {a} の第1項と{bm}の第m項が等しいとすると, 309] 21-1=3m-2より 21-3m=-1& l=1,m=1はこれを満たすから 2(1-1)=3(m-1 ... ① 2と3は互いに素であるから, 1-1は3の倍数である。 よって, l-1=3k (kは整数) とおくと l=3k+1 これを① に代入して整理すると m = 2k+1 a₁ = bm 2l-3m=-1 2・13・1=-1 2 (1-1)-3(m-1)=1 lmは自然数より k = 0, 1, 2, n は自然数より, n=k+1 とおくと k=n-1 ゆえに,l=3n-2 (n=1,2,3, ...) であるから (別解) Cn=a3n-2=2(3n-2)-1=6n-5 2つの等差数列の項を書き並べると {a}:1,3,5,7,9,11,13,15,17,19, {6}:1,4, 7,10, +11より 3k+1 ≧ 1より kzO nとkの対応は不定 方程式を解くときに用 .19 整数の組によっ 13. 16, 19, ... よって,求める数列{c} は, 初項1の等差数列となる。 公差は2つの数列の公差 2,3の最小公倍数6である から Cn=1+(n-1)6=6n-5 三 274 初項 3, 公差2の等差数列 Ale Till て変わる。 具体的に考える {m},{m} を具体的に書 き出して規則性を見つ {c}: 1, 7, 13, 19, びある。

20の文、rest of usとはドユコト？

語句 家であるダロルド・トレッファートは述べる。 18 それ以降、まだ機能している脳 組織はすべて別の用途に使われる。 19 「その損傷を受けていない組織を通して(脳 信号の)再配線が行われ, それから,その領域内に秘められていた潜在能力が解 き放たれるのです。」 20 つまりサヴァン症候群の人は、他の人が使うことのできな い脳の部分を解き放っているのかもしれない。 関を で 15 It wasn't until ~ that SV. ~になって(やっと) SVした/cause引き起こ す / 16 condition 状態, 症状/18 tissue 名 組織 / repurpose 他の用途で使 う/ 18 rewiring 圈 再配線/ intact 形 無傷の/potential 名 (潜在的な) カ 19 文法・構文 16 as は, worsen という 「変化を表す動詞」 があることから「比例(~するに つれて)」の意味だと判断できます。 "文頭の what は, 疑問詞ととらえても関係代 名詞ととらえても OK です (和訳では疑問詞として訳してあります)。 19 potential は形容詞 「潜在的な」 が有名ですが,今回のように名詞 「(潜在的な) 力」 の意味 BOONで使われることがあります (前後に前置詞 of / within があることから名詞と判断 し、この意味を推測できればOKです)。 And 日本

19～21番が分かりません、、解説お願いします、、😭😭他の問題の答えはあってますでしょうか🥹🥹

19. The longer you wear these leather shoes, () comfortable they become. 1 more the 2 more so 3 so more 20. The subject is difficult, but that's why it is all the ( 4 the more ) interesting. 4 more than Ligno I gninni. To e <獨協大〉 (****) T.DE <近畿大〉 es em inoe ori oni on TC L 1 most 2 most of 3 more part of batiew Ignol ? 21. Take a look at this photo. My brother is ( ) of the two. a tall one 2 tall 3 taller one 4 the taller 19qua al nig 2 not less than definite 22. Mary liked the necklace but couldn't buy it because she had ( ネックレス ⑩no more than 3 the least 4 as much as 23. I am no ( 1 far ) able to operate this machine than he is. A is no 2 much ③more very 24. He kept it to himself, never mentioning it to his sister, ( and more 2 still less 25. This new model is superior ( 2 by 1 to 3 still more ) 20 dollars with her. no more than only) わずかALが太 Cemo move B than Culy 〈北海道文教大〉 ) to his mother. Still (ess~. まして~ない 4 but less 〈神奈川大 ) the previous one. A is superior to B BIYAP 147113 3 than 4 with 〈千葉工業大 >

1枚目が問題で（ⅳ）についての質問です。 2.3枚目が解答なのですが、赤線のところが分からないので教えてください

方程式を解け. (i) x²+x-2=0 (ii) x²-2x-4=0 A (iv) (x+1)(x+2)(x+3)(x+4)=24 E till to all t

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19764975 17. It will not be long (___) she can have the transplant surgery. 1 when 2 time 3 after It will not be long before SV 4 before ④till~するまで 18. The old man watched the ship (become smaller and smaller) ☐ 19. ( 1 because guon 2 unless 3 after <兵庫医科大〉 ) it was seen no more. 〈獨協大〉 ) my son enters elementary school, he should be able to say the English alphabet. ①Before long ②By the time ③While 4 Until 11(t) 20. He had no sooner arrived at home (min) it started to rain. S had no sooner done 1 as □ 21. ( ①Fairly 2 for 3 when than 101 ... than did ・・・したらすぐに~し(札幌) ~ ) had the meeting started when an earthquake shook the building. Hardly had s done 3 Immediately Rarely 倒置形 <明治大) 2 Hardly ? 22. ( ) begun considering the solution when an 報が入ってきた came in. Hea ~したらすぐにした 2 Before the men had 4 Soon had the men 1 As soon as the men had ~~したらすぐに 3 Scarcely had the men 人間は彼らが生き残るために必要なものを生産しはじめるとすぐに 〈日本大〉 23.( human beings started to produce what they needed to survive) they set themselves ① As soon as ~するとすぐに (大) apart from animals. eogebroe 2 The reason why 4 As it is * 3 No more than 24. I knew something was wrong with the engine ( although 2 even if 3 however ) I tried to start the car. 〈関西外国語大〉 12 the moment ~するとすぐ(近畿大> ⑨the

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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 1. My uncle sent me a parcel a week ago, but I haven't received it ( 1 before 2 yet 3 still 2. Roman Holiday is such a popular film that it is ( released in the 1950s. in then すでにした<完了> 〈京都精華大 〉 vading mo ) loved today, even though it was 今でもなお継続> 〈京都産業大〉 1 already 2 not often 4 still 1 nearly ) had time to go shopping. 3. I was so busy all day that I ( ② scarcely 3 enough 2784 4 almost 〈福岡国際大〉 4. I ( 1 almost 2 always ban 3 nearly 近ごろ ☐ 5. Nowadays there are ( 1 harder ) any people who use typewriters. 2 hard ) visit the United States these days. I usually go to Australia instead. bot④ seldom めったに~ない(南山大〉 タイプライター kg 02 〈東海大 2 mostly 6. Jane is an excellent student. She is ( Dha Dhardly 「ほとんどんない 7. He is a lucky man. He was ( 2 finally ⑰almost 10 ) ever absent from class. これまでに度も 3 frequently ) hit by the car, but made a narrow escape. 3 unluckily completely <東邦大〉 almost ~しそうになる <鎌倉女子大〉 3 hardly hardest ③hardly ほとんどない 4 usually

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30. The concert hall is only a short walk from here. It's not ( 2 need I use 3 worth 31. If you want to go to the airport in the most ( 1 finance 2 financial ) taking a taxi, 書きかえ It is worth <南山大〉 4 necessity doing A ) way, take a bus. Aは~する価値がある ③ economy ④economical 節約する 32. The data give fresh evidence of Chinese ( ) growth. Deconomic 2 economics ③ economical 4 economy 33. Lisa always thinks of other people around her. She is very ( 1 considerable 2 considered 3 considerate ④considering 34. You still have a fever. Staying in bed is the only ( ) thing to do. 〈西南学院大 〉 <東京国際大〉 〈新潟薬科大〉 14 形容詞の語法 敏感な 1 sensitive 官能的です 2 sensual 3 sensational sensibié 〈北里大〉 almost 35. John is very ( ) about his error in judgment, so don't mention it. 官能的な 1 sensible 2 sensual 3 sensitive 4 sensational 〈杏林大〉 36. John Smith is the most ( ) student in our class. $177. Dindustrious 2 industrialized 産業の 3 industrial industry 〈城西大〉 37. Wataya Risa is the youngest winner in the history of the prestigious ( ) award, the 名声のある Akutagawa Prize. 文学の 読み書きができる 文字通りの 1 literal 2 literally 3 literary 4 literate 〈 松山大 〉 hit by t

答えあっていますか、、🥲72番の直訳が合っているかも教えてくださいお願いします😭😭

67. He ate too much during his vacation and put ( ) weight. put on weight 14 11 23. 1 up 2 ②on 68. Michael ( ), so we can trust him. マイケル 1 keeps fit 3 with ④4 for keep one's word 約束を守る 2 breaks the rules blons 201 breaks his promises ) his mind to become a social worker. make up ソーシャルワーカー 2 down 4 off 3 keeps his word 69. George made ( ⑨up 3 for ☐ 70. It seems clear that robots are going to ( society. esbi 1 make 2 give 3 create 〈名古屋学芸大〉 〈 青山学院大 〉 one's mind 決心する 〈北海道医療大〉 ) an ever more useful and valuable role in 71. My hand was still hurting so I had my doctor take ( 訳 1 a view of ☐ 72. We (1) what we have. 2 an eye of 私たちがしたことを当然だと思う ①are taken for granted 3 take for granted 3 a look at w's play a role in A ④play Aにおいて役割を果たす。 〈中央大 > ) it. Take a look at A AER 4 a watch at take it for granted ~ということを当然だと思う 2 are very granted for ? take nothing for granted 〈日本大〉 < 早稲田大 > 73. When my younger brother and I were children/ my mother often asked me to keep ( イディオム keep an eye on A Aから目を離さない よく見失う him so he wouldn't get lost. 習慣 1 an eye on 2 away from 3 back from 4 in time with 〈センター試験〉

英訳です。 英語を話すことは未だに難しい。 I am not good at English yet. この言い方は少し幼稚ですか？ また、I have notにしては行けない理由を教えてください。

第二段落三行目のhand on hipとhead on an angleのhandとheadは動詞として使われているのでしょうか？教えて頂きたいです。よろしくお願いいたします。

9 @ 次の英文を読み, 設問に答えよ。 1 Start State Jackie Jeant idly against the window frame, staring out at the beach in front of the house. (In the distance down the beach she could see the familiar figure in the blue dress slowly coming towards the house. She loved these moments when she could watch her daughter in secret Toni was growing up fast. 5 since she and the confused little seven-year-old had arrived here. How Toni had 5 It seemed no time adored her father! When she was still only five or six years old, they would all 出かける make the long trip from the city to the beach every weekend, and Toni would go out with him into the wildest waves, bravely holding on to his back, screaming in pleasure as they played in the waves together. She had trusted him entirely. And 10 then he had left them. No message, no anything. Just like that. She could make (2) Toni's figure quite clearly now. She saw her put her shoes onto the rocks near the water's edge and walk into the wet sand, then just stand there, hand on hip, head on an angle, staring down. What was she thinking? 手にす 目的 強烈さ Jackie felt a surge of love that was almost shocking in its intensity. "I'd do anything 5 for her," she found herself saying aloud, "anything." 中ては飛さない