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English Senior High

上から16行目位のofの後の^ には何か言葉が省略されているのかと思うのですが、何が省略されてるのでしょうか?

When we think about lives filled with meaning, we often focus on people whose grand contributions benefited humanity. Abraham Lincoln, Martin Luther King, Jr., and 壮な Nelson Mandela surely felt they had a worthwhile life. However, how about us ordinary people? Many scholars agree that a subjectively meaningful existence often boils down to 主観的に (a) three factors: the feeling that one's life is coherent and “makes sense,” the possession of clear and satisfying long-term goals, and the belief that one's life matters in the grand 信念 scheme of things. Psychologists call these three things coherence, purpose, and (1) existential mattering. 存在に関する な However, we believe that there is another element to consider. Think about the first butterfly you stop to admire after a long winter, or imagine the scenery on top of a hill after a fresh hike. Sometimes existence delivers us small moments of beauty. When S people are open to appreciating such experiences, these moments may enhance how they =4 view their life. We call this element experiential appreciation. The phenomenon reflects 感謝価値評価 the feeling of a deep connection to events as they occur and the ability to extract value 抽出する. V from that link. It represents the detection of and admiration for life's inherent beauty. 発 (b) 本来備わっている。 We recently set out to better understand this form of appreciation in a series of studies that involved more than 3,000 participants. Across these studies, we were interested in whether experiential appreciation was related to a person's sense of meaning even when we accounted for the effects of the classic trio of coherence, purpose, and existential mattering. If so, experiential appreciation could be a unique (c) contributor to meaningfulness and not simply a product of these other variables. 変数の産物 As an initial test of our idea, during the early stages of the COVID pandemic, we had participants rate to what extent they agreed with different coping strategies to 対処方法 relieve their stress. We found that people who managed stress by focusing on their Avent appreciation for life's beauty also reported experiencing life as highly meaningful. In 感謝 - 1 - 有意義

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Mathematics Senior High

解答1の四角で囲んだ部分についてなのですが、なぜnは4以上の時になるのですか? どなたかお願いします🙏

考え方 296 漸化式 an+1=f(n)・an =1,(n+3)an+1=nan で定義される数列{an}の一般項 αn を求めよ. 解答1 漸化式は an+1= 4 an+1=f(n)an となる. ここで, これをくり返すと, 解答 2 漸化式の両辺に(n+2)(n+1)を掛けると, (n+3)(n+2)(n+1)an+1=(n+2)(n+1)nan DOD bn=(n+2)(n+1) nan とおくと, この式はbn+1=0となる. 解答1 漸化式を変形して, このとき an= n n+gan と変形できて,f(n)=+3 とおくと, An+1=f(n)an=f(n){ƒ(n−1)an_1}=ƒ(n)ƒ(n − 1){ƒ(n−2)an-2} an+1=f(n)f(n-1) f(n-2)......f(1)a1 az= よって, an+1= n+2n+1 3 1 1+3a1² n n+3a 50=1/11 2 a3= 2+3 92= 4 のとき, ① をくり返し用いると, n-1.n-2.n-3.n-4 -an 2 2+3 1+391 10 2 ··1= n+2n+1n この式はn=1,2,3のときも成り立つ. よって, an= ・① 4321 n_n-1 F7654 6 n(n+1)(n+2) n(n+1)(n+2) SOURON 解答2 漸化式の両辺に(n+2) (n+1)を掛けると, (n+3)(n+2)(n+1)an+1=(n+2)(n+1) ここで,b=(1+2)(1+1) 16 より 16 bn=(n+2)(n+1) nan であるから, (n+2)(n+1)nan=6 -a an I and *** n-1 n+2 a₁=1 n-1n-2 n+2n+1 -an-1 nan REAVES (1) x(n+1) an+1 bn=(n+2)(n+1) nan とおくと, ② は bn+1=bn となり, =(n+2)(n+1)nan これはすべての自然数nに対して成り立つ. したがって, bn=bn-1=bn-2=......=b1 a=1 (n+3)(n+2) -an-2 6 an=n(n+1)(n+2) Testo At **R*12*10 (282,4)

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English Senior High

写真の回答を教えて欲しいです🙇‍♀️

To get good score on the test? 8 次の英文は、小笠原諸島についての講演の資料を要約したものです。 次の英文を読んで、 以下の問題に答えなさい。 (2点×5) The Ogasawara Islands became a World Heritage Site in 2011. Many people visit our islands every year. We, the people of the Ogasawara Islands, love our islands. We believe that they are very special. There are many unique animals and plants. We made some rules to protect them for future generations. They are "Don't take plants and rocks as souvenirs.", "Don't scare the animals.”, “Stay away from the sea turtle's nests.” All the visitors are welcome. You can go diving and swim in the beautiful ocean. You can visit the observatory on Mt. Mikazuki and watch the sunset. We can teach you about the island's ecosystem. Please think about the environment before you do. 男 We live in balance with nature. We hope that our visitors will understand this. Then turtles will be here with us and our children. 2 (注) island 島 World Heritage Site 世界遺産 protect 保護する generation 世代 visitor observatory 展望台 4000 souvenir みやげ scare 怖がらせる ecosystem 生態系 sea turtle ウミガメ 訪問客 environment 環境 balance つり合い nest 巣 (1) 小笠原諸島の人々が作った規則の一例を日本語で詳しく説明しなさい。 (2) 下線部を this の内容を具体的にして日本語に訳しなさい。 (3) 次の日本語の文をそれぞれ正しければ〇を、間違っていればXを書きなさい。 ア. 小笠原諸島が世界遺産になってからまだ10年も経っていない。 イ. 小笠原諸島に訪問する人々は自然を守るために規則を作った。 ウ. 小笠原諸島の人々は自然とのつり合いの中で生きている

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