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数学 高校生

数Bの漸化式の問題です。 (2)のマーカーの部分はなぜそうなるのですか? Σ(k=1)(n-1)2^k とかだったら 2×{2^(n-1)-1}/2-1 となるのは分かりますが、今回のはΣ(-5)^(k-1)でも ^n-1のままな理由が分かりません。 得意な方教えてい... 続きを読む

基本 例題123 隣接3項間の漸化式 (1) 次の条件によって定められる数列 {an} の一般項を求めよ。 572 (1) a=0, az=1, an+2=Qn+1+6an p.571 基本事項口 重要133 (2) a=1, az==2, an+2+4an+1-5an=0 指針> まず,an+2.をx, anti を x, an を1とおいたxの2次方程式(特性方程式)を解く。その 2解を a, Bとすると, αキBのとき an+2-aan+1=8(an+1-can), an+2-Ban+1=α(an+1-Ba.) が成り立つ。この変形を利用して解決する。 (1) 特性方程式の解は x=-2, 3→解に1を含まない から, ④ を用いて 2通りに表 し,等比数列 {an+1+2an}, {an+1-3an} を考える。 (2) 特性方程式の解は x=1, -5→解に1を含むから, 漸化式は an+2-ant1=-5(an+1-an) と変形され,階差数列 を利用することで解決。 解答 (1) 漸化式を変形すると an+2+2an+1=3(an+1+2an) an+2-3an+1=-2(an+1-3an) Oより,数列 {an+1+2am}は初項 az+2a=1, 公比3の等比 イx=x+6 を解くと, (x+2)(x-3)=0から 0, x=-2, 3 α=-2, B=3として指針 ののを利用。 数列であるから an+1+2an=37ー1 3 2より,数列 {an+1-3an} は初項 a2-3a1=1, 公比 -2 の等 比数列であるから an+1-3an=(-2)" の 3-のから 5a,=3"-1-(-2)"ー1 lan+1 を消去。 は 1 したがって a, 5 = 3-(-2)"} (2) 漸化式を変形すると ゆえに,数列 {an+1-an}は初項 a2-a=2-1=1, 公比 -5 の等比数列であるから よって, n22のとき an+2-an+1=-5(an+1-an) (x+4x-5=0 を解くと、 (x-1)(x+5)=0から an+1-Qn=(-5)"ー1 x=1, -5 n-1 an=a+2(-521+ k-1 n-1) k=1 別解 漸化式を変形して -ロ-(-3)) 2 2004) an+2+5an+1=an+i+5aa よって an+1+5am 2-1 n=1を代入すると,(7-(-5)}=1であるから,上の式 =an+5an-1 はn=1のときも成り立つ。 =……=a+5a:=7 an+1+5an=7を変形し, したがって a,=7-(-5)} 7 An+1- 6 6 から an= 練習 次の冬件に

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英語 高校生

英語に自信がある人回答づくりお願いします! ※書き込みは気にしないでください。

第3問 次の英文を読んで、 設問に答えなさい。 AThe Working Time Regulations (WTRS) introduced a new right to paid holidays for most workers, However, some workers were not covered when the WTRS came into force in October 1998. Since the regulations were amended, with effect firom 1 August 2003. the majority of these workers have been entitled to paid holidays, and since 1 August 2004 the regulations have also applied to junior doctors. Workers who qualify are entitled to no fewer than four weeks of paid holiday a year, and public holidays (normally eight days in England and Wales) count towards*1 this. However, workers and employers can agree upon longer holidays. For the first year of work, special accrual*2 rules apply. For each month ofemployment, workers are entitled to one twelfth of the annual holiday. After the first year of employment, you can take your holiday entitlement at any time, with your employer's approval. A) Before taking holidays, you must give your employer notice of at least twice the length of the holiday you want to take: for instance, to takea five-day holiday, you must give at least ten days' notice. If your employer does not want you to take that holiday, they can give you counter-notice equal to the holiday 一 for example, five days' notice not to take a five-day holiday. If the employer wants you to take holiday at a given time, e.g. when there is a shutdown at the same time everyyear, they must give you notice of at least twice the length of the holiday. There is no right for the worker to take that holiday at a different time. Holiday cannot be carried over to the next year, unless your contract of employment allows this to happen. Nor can you be paid in lieu of*3 your holiday. However, when you leave the job, you are entitled to receive payment for any outstanding*4 holiday, provided your contract specifically allows for this. It may be that your contract gives you better rights, or your holiday rights might be specified in a collective agreement. Your union representative can advise you on this. 【出典】 Cambridge English IELTS 8, Cambridge University Press, 2011, p.110を一部 改変。 *1 count towards ~ : ~に算入される *2accrual: 付加, 自然増加 *3 in lieu of: ~の代わりに *4outstanding : 未処理の

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英語 高校生

英語に自信がある人回答づくりお願いします! ※書き込みは気にしないでください。

第3問 次の英文を読んで、 設問に答えなさい。 AThe Working Time Regulations (WTRS) introduced a new right to paid holidays for most workers, However, some workers were not covered when the WTRS came into force in October 1998. Since the regulations were amended, with effect firom 1 August 2003. the majority of these workers have been entitled to paid holidays, and since 1 August 2004 the regulations have also applied to junior doctors. Workers who qualify are entitled to no fewer than four weeks of paid holiday a year, and public holidays (normally eight days in England and Wales) count towards*1 this. However, workers and employers can agree upon longer holidays. For the first year of work, special accrual*2 rules apply. For each month ofemployment, workers are entitled to one twelfth of the annual holiday. After the first year of employment, you can take your holiday entitlement at any time, with your employer's approval. A) Before taking holidays, you must give your employer notice of at least twice the length of the holiday you want to take: for instance, to takea five-day holiday, you must give at least ten days' notice. If your employer does not want you to take that holiday, they can give you counter-notice equal to the holiday 一 for example, five days' notice not to take a five-day holiday. If the employer wants you to take holiday at a given time, e.g. when there is a shutdown at the same time everyyear, they must give you notice of at least twice the length of the holiday. There is no right for the worker to take that holiday at a different time. Holiday cannot be carried over to the next year, unless your contract of employment allows this to happen. Nor can you be paid in lieu of*3 your holiday. However, when you leave the job, you are entitled to receive payment for any outstanding*4 holiday, provided your contract specifically allows for this. It may be that your contract gives you better rights, or your holiday rights might be specified in a collective agreement. Your union representative can advise you on this. 【出典】 Cambridge English IELTS 8, Cambridge University Press, 2011, p.110を一部 改変。 *1 count towards ~ : ~に算入される *2accrual: 付加, 自然増加 *3 in lieu of: ~の代わりに *4outstanding : 未処理の

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英語 高校生

英語に自信がある人回答づくりお願いします! ※書き込みは気にしないでください。

第3問 次の英文を読んで、 設問に答えなさい。 The Working Time Regulations (WTRS) introduced a new right to paid holidays for most workers. However, some workers were not covered when the WTRS came into force in October 1998. Since the regulations were amended, with effect from 1 August 2003, the majority of these workers have been entitled to paid holidays, and since 1 August 2004 the regulations have also applied to junior doctors. Workers who qualify are entitled to no fewer than four weeks of paid holiday a year, and public holidays (normally eight days in England and Wales)count towards*1 this. However, workers and employers can agree upon longer holidays. For the first year of work, special accrual*2 rules apply. For each month ofemployment, workers are entitled to one twelfth of the annual holiday. After the first year of employment, you can take your holiday entitlement at any time, with your employer's approval. A Before taking holidays, you must give your employer notice of at least twice the length of the holiday you want to take: for instance, to take a five-day holiday, you must give at least ten days' notice. If your employer does not want you to take that holiday, they can give you counter-notice equal to the holiday for example, five days' notice not to take a five-day holiday. If the employer wants you to take holiday at a given time, e.g. when there is a shutdown at the same time every year, they must give you notice of at least twice the length of the holiday. There is no right for the worker to take that holiday at a different time. Holiday cannot be carried over to the next year, unless your contract of employment allows this to happen. Nor can you be paid in lieu of*3 your holiday. However, when you leave the job, you are entitled to receive payment for any outstanding*4 holiday, provided your contract specifically allows for this. )It may be that your contract gives you better rights, or your holiday rights might be specified in a collective agreement. Your union representative can advise you on this. 【出典】 Cambridge English IELTS 8, Cambridge University Press, 2011, p.110を一部 改変。 *1 count towards ~ : ~に算入される *2accrual : 付加, 自然増加 *3 in lieu of: ~の代わりに *4outstanding: 未処理の

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数学 高校生

この問題は和訳の部分だけで英訳した方がいいですか?それとも文章読んでから書いた方がいいですか?人によるのは承知の上で意見を聞かせてください🙇‍♂️

I| 次の文章を読み、下継部分の日本語を英語に直しなさい。: に In my classes, I often tell my students, "Get outi" I'm not thrówing them out of the classroom; I'm_encouraging them to get out-of Japan. to study abroad. Japanese university students are often hesitant to study abroad, but I argue that nothing could-be more.important. Why.not go? I ask them: You can always come back. Recently, the education ministry has been askdng the same question -but going one step further, by. offering: money! To encourage. students to study abroad, the ministry announced it will start offering funds for universities to expand and imprave study abroad programs, (そうすることがこれまで以上に 多くの日本人大学生を留学する気にさせるだろう) Actually, more students did study abroad, before. (2004年から2009年にか けて、日本から海外への留学者数は3割近く減少した). number of students. from, Korea, China and India studying abroad more than doubled during. that same period, according to the Institute of. International 2) In contrast. the Education, a U.S. nonprofit organization. : (日本と他のアジア諸国との差は年々 広がっている)。 Of course, Japanese students may be exposed more to. foreign culture and get more second language contact inside: Japan The opportunities here to study other languages and have contact with people:from other countries are fairly numerous, especially in big cities. (しかしそれは他国に行ってそこの文 化に浸ってみるのとは同じではない) (4 出典 Michael Pronko, Stiudy Abroad? Why Not? 週刊 Student Times, ジャバ ンタイムズ社 2012年4月20日 記事の一部を改変

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