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英語 高校生

英単語教えて欲しいです。 間違えてるところあったら教えて欲しいのと、分からないところが沢山あるのでこの文章の中に書かれている単語で右の空欄教えて欲しいです。お願いします。

20 25 20 35 15 STEP 3 DEAR (1年7月改) 回 目標 IGG 登場人物の心情を想像しながら読み進めよう。 次の英文を読んで,あとの問いに答えよ。 取り組み日 A 日 得点 /18 目標時間 17分 tell Sara was annoyed/when her mom told her the news. from Japan/to live with her family//Their two-bedroom apartment/was(already crowded/ with her mom, dad and her.// While her mom was from Japan/Sara (7)/She knew only a few Japanese words. 5 Her mom told her about Sara's Grandpa)//He studied English (in college, but Sara and Grandpa had never spoken (in English.) When she went to Japan every summer, the most. they said to each other was "Ohayo" in Japanese. Grandpa didn't talk much. A month had passed since Grandpa moved in/With the new family member in her home, Sara spent more time alone in her room working on her favorite hobby drawing 10 comic strips./She hardly showed these drawings to anyone.) Her parents thought it was a waste of time. They hoped she would spend more time on her schoolwork.)// Sara had been working for months on a 16-page comic book about a teenage girl with magic powers. She hoped to enter it in a comic book contest the next month but was struggling with how to draw the hero with invisible magic powers// One afternoon, she got so frustrated that she crushed almost all the pages she had drawn and threw them in the wastebasket) She didn't know why but her eyes were full of tears. //Her Her grandfather was moving She grabbed her jacket and went into the living room. Grandpa was reading a book (on the sofa. She said, "Please tell my mom that I went for a walk. Grandpa said. “Itterasshai" to her but she walked out of the room. When she came home, Sara was still upset, but more disappointed. a comic book that she could hand in for the contest. del pr Then she saw her desk. Her drawings were put back on the desk//They were laid flat and attached with small sticky notes all over the pages.// Sara(1-0)Who had gone through her wastebasket? //This was her room.//No one came in without telling her.)// The handwriting on the sticky notes) was really easy to read//She (quickly) realized they were from Grandpa. 'here wouldn't be "Sara, you have a gift for art," the first note said. The second note was longer/"When 30 I was your age. I also wanted to be a comic artist."// The other notes gave to her face."Finally, someone understands my passion I Sara advice on improving her comic strips. Sara felt a smile coming to never imagined Grandpa would ()do that!" She started writing a card to Grandpa "Dear Grandpa /Thank you so much for your kind comments! I want to finish my comic book so I can enter it in the contest next month//Please be my advisor!/Love, Sara"// Grandpa was watching TV with her parents in the living room but looked at Sara/as she walked up to him.// Sara (1-2), so she handed him the card without a word. She wondered if Grandpa 40 would accept it. When he read the card, he smiled but did not say anything, either. Sara quickly went into her room. Her parents were wondering what had just happened. (1) She went straight back to the desk/and started working on her comic book //She only had a month. She couldn't wait to show Grandpa her next draft for more advice. (567W) 内 () ORIGINAL MATERIAL

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数学 高校生

波線引いているところで、bnをなぜan-1とおくのかわかりません!もう少し詳しく教えてほしいです🙇🏻‍♀️

例題 297 漸化式 思考プロセス d1 = 5,/an+1 般項を求めよ。 例題 296 既知の問題に帰着 3a-2 例題296 で学習した, (ア) 等差型, (イ) 等比型, (ウ) 階差型 のいずれかに変形することを考える。 an+1=3an-2 = 3a - 2 an+1-α=3(an-α) a an-α = bn とおくと) \an+1-α=bn+1 解 漸化式 αn+1=34-2は, α = 3α-2 を満たす解 α = 1 a を用いて変形すると Anel-1304-3 ・・・) で定められた数列{an}の一 bn+1=36m (イ) の形 Action» 漸化式 ant) = p@a+αは、 特性方程式xp+g の解を利用せよ 12, = an+1=1=3(an-1) ここでbn=an-1 とおくと よって, 数列{bn} は初項b1=α1-1 = 4,公比3の等比数 1, 2 列であるから bn = 4.3"-1 an=bn+1=4・3"-1 +1 したがって 〔別解) ・② ... ant! bn+1=36 3au 3091 an+1=3an-2① において、辛出会 nをn+1に置き換えると an+2 3an+12 ①,②の辺々を引くと an+2an+1 = 3 (an+1-an) ... 3 数列{an}の階差数列を {bn} とすると,③ bn+1 = 3bn よって, 数列{}は初項8 の (ア) an+1=an+d (イ) an+1=ran (ウ) an+1=an+f(n) ^èmo. Ibn = An − 1 kh an = bn +1 8+n8=E (1-2) an a=3α-2 をもとの漸化 式の 特性方程式 とよぶ。 p.523 Play Back 32 参照 特性方程式を用いて, 化式を変形したときは 展開してもとに戻ること を確認するとよい。 S 3+1 = (8-AS) 階差数列を利用した {an}の階差数列{bmi すると bn=an+1 と間道 bn=an-an-1 ないように注意する。 13 £

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