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数学 高校生

赤で囲った部分について質問です。 n≧2のときと書いていますが、なぜ式変形の途中でan−2,an−3,…を書いていいのでしょうか? 例えば、それぞれnに2を代入したときに、a0,a−1,a−2,…となってしまうと思うのですが

192 重要 例跡113 新化式と極限 (5) 0 数列 (an)が0<a<3, ants=1+V1+an (n=D1, 2, 3, …)を満たすとき (2) 3-an+」< (3-an) を証明せよ。 事項 (1) 0<an<3を証明せよ。 物 p.174 基本事項 3, 基本 重要 ③ 数列 (an) の極限値を求めよ。 る場 指針> (1) すべての自然数nについての成立を示す→数学的帰納法 の利田 (2)(1)の結果,すなわち an>0, 3-an>0であることを利用。 とよ (3) 漸化式を変形して, 一般項 a, をnの式で表すのは難しい。そこで, (2) で示しか。 式を利用し,はさみうちの原理 を使って数列 (3-an}の極限を求める。 はさみうちの原理 すべてのnについて pSanいg,のとき lima,=α lim p=limg,=αならば →の なお,次ページの補足事項も参照。 はさみうち CHART 求めにくい極限 不等式利用で 解答 1 数学的帰納法による。 のとする。 [1] n=1のとき, 与えられた条件から①は成り立つ。 [2] n=kのとき, ①が成り立つと仮定すると 0<aぇ<3 n=k+1のときを考えると, 0<an<3であるから ah+1=1+/1+ae >2>0 ah+1=1+/1+a <1+V1+3%=3 (1) 0<anく3 … 40<a<3 40<ak から 1+a,>1 Ma<3から 「1+a<! したがって 0<ak+1<3 よって, n=k+1のときにも① は成り立つ。 [1], [2] から, すべての自然数 nについて① は成り立つ。 (2) 3-an+1=2-V1+an = 3-an く (3-an>0であり, a,>02 ら 2+1+a,>3 (3)(1), (2) から 0<3-a.s()(3-a) lim(3-a)-0であるから 「成立はれl 11-1 1カ-1 3 イn22のとき, (2) から 5はれに! (ワー8)->D-8 く0-) lim(3-an)=0 1→0 したがって liman=3 ワー8))> n→0 (ワー9).(). 練習 a=2, n>2のとき an=Van-1 - 113 (1) すべての自然数nに対して an>1であることを証明せよ。 (2) 数列 (an} の極限値を求めよ。 3 2 を満たす数列{an} について 【類関西大

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英語 高校生

佐賀大学(平成31年度)の大門3の要約問題について質問です。 添削お願いします。

3 次の英文を読んで、その要旨を300字程度の日本語で書きなさい。句読点も字数に 含めるものとする。(30点) Learning to interpret what others mean is complex. Because we learn early to interpret meanings by the form of expression a person uses, there is much room for misunderstanding. This may lead us to make value judgments and become convinced that a speaker is insincere, dishonest, or disrespectful when we misread the intentions or the significance of a message within a social setting. One example of the need to use and understand socially appropriate messages is in the determination of when a speaker has said no. In many languages and societies, people usually don't say no directly. Instead, they have less direct ways of expressing refusal. The nonnative speaker needs to recognize the ways in which this is done. For example, in Hispanic cultures it is considered inappropriate for servants to say no directly to their employers. Instead, the social norm requires the servant to reply to a request from an employer with the form manana. Although a literal translation of manana is “tomorrow," the most frequently intended meaning for it in this situation is simply “no." But, this is a polite no, since the request has not been refused directly, just postponed. A nonnative employer will wait a long time for service if he or she relies on the literal meaning of the word manana. Still another example of misinterpretation has to do with who may initiate a conversation. In some Asian languages, such as Chinese, Japanese, or Korean, children do not usually initiate conversations with adults and do not speak unless spoken to. In contrast, American children are free, and even encouraged, to initiate conversations with adults. Similarly, whenever there is a perceived difference in status for example, between student and teacher-the inferior usually does not

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英語 高校生

わからないです

[5 次の英文を読み。 以下の設問に答えよ。 (配点 60点 xtenSiVe を て of your Your dog's ability to learn new tricks may be less a product 7aining (han of ther underlying *genetics ch as aral traits such Among 101 dog *breeds, scientists found that certain behavioral 0 genetically Sirmila 00Gr or Aproasion were more HMI GR PE時昌汗EE 2 S dog behaviors breeds、 While past studies have looked into the genetic foundations of ・the 2ceeg7zzgs の 7@ for certain breeds、thiS research published October 1 in *the /ァの preeds and find a な is the first to investigate a wide diversity of netic signal behavioral aly。 everyone knows that different dogs have 中作erent : の 7ashington in ~ says Noah Snyder-Mackler, a geneticist at the University of Washing Ks の Sa *canines have lived de "But we didnt know how much or why.” Humans and *canine at least 15.000 years. But only within the last 300 years or so have produced Yarieties such as Chihuahuas and Great Danes. Snyder-Mackler and his colleagues considered how 101 dog breeds behave while searching for genetic similarities among breeds sharing certain personality graits. Data came from two dog genotype databases and from C-BARQ, a survey 好at asks owners to rank their pure-bred dog's "propensity for certain behaviors, hike chasing or aggressiveness toward strangers. As a result the study didnt have genetic and behavioral data from the same canine individuals, which could help 岳ghjjght rare genetic varjants that may be nonetheless important to diversity im pehavjors. “Tjeyre not perfect sources of data” says Clive Wynne, an animal behaviorist at Arizona State Unjversity jn Tempe, who was not involved in the study. “But allowed fhem to Jook at ots and lots of dogs.” Using daa from over 14000 dogs described in C-BARQ, the researchers gave each breed a score for 14 different behaviors, and then searched for overall genetic simlarifies among breeds that had similar Scores. For traits such as aggression foward sfrangers, franability and chasing, the researchers found that genes ルー Yo

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