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English Senior High

この誤り箇所指摘の問題が分からないのでよろしくお願いします。

【4】 次の1~10について, 誤った英語表現を含んだ部分がある場合には(a)~(d)から誤り を一つ選び,誤りがない場合には (e) を選んでマーク解答用紙にマークせよ。 1. In (a) classical Islamic history there could be no clash between since the caliph, the titular head of the Islamic state and community, (b) combined in pope and emperor, himself both (c) political or religious-though (a) not spiritual-authority. NO ERROR 2. The years (a) immediately following the end of the Cold War offered (ú) a tantalizing glimpse of a new kind of international order, with nation-states growing together or disappearing, ideological conflicts (c) melting away, cultures intermingling, and free commerce and communications (a) increasing. NO ERROR 3. Despite the growth of the economy, or perhaps (a) in part because of it, and because, as well, (b) the vast rural exodus owing to both (c) population growth and increasing agricultural productivity, workers (a) crowded into urban slums. NO ERR 4. Malthus, Ricardo, Marx, and (a) many others had been talking about inequalities for decades without citing any sources (b) whatsoever or any methods for (c) comparison NO ERROR one era with (a) another. 5. The religious differences between Europe and the United States are (a) typically described in terms of (b) beliefs and practices: Europeans are (c) far less likely than Americans (a) join and attend houses of worship or to believe in heaven and hell. NO ERROR

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English Senior High

この誤り箇所指摘の問題が分からないのでよろしくお願いします。

【4】 次の1~10について, 誤った英語表現を含んだ部分がある場合には(a)~(d)から誤り を一つ選び,誤りがない場合には (e) を選んでマーク解答用紙にマークせよ。 1. In (a) classical Islamic history there could be no clash between since the caliph, the titular head of the Islamic state and community, (b) combined in pope and emperor, himself both (c) political or religious-though (a) not spiritual-authority. NO ERROR 2. The years (a) immediately following the end of the Cold War offered (ú) a tantalizing glimpse of a new kind of international order, with nation-states growing together or disappearing, ideological conflicts (c) melting away, cultures intermingling, and free commerce and communications (a) increasing. NO ERROR 3. Despite the growth of the economy, or perhaps (a) in part because of it, and because, as well, (b) the vast rural exodus owing to both (c) population growth and increasing agricultural productivity, workers (a) crowded into urban slums. NO ERR 4. Malthus, Ricardo, Marx, and (a) many others had been talking about inequalities for decades without citing any sources (b) whatsoever or any methods for (c) comparison NO ERROR one era with (a) another. 5. The religious differences between Europe and the United States are (a) typically described in terms of (b) beliefs and practices: Europeans are (c) far less likely than Americans (a) join and attend houses of worship or to believe in heaven and hell. NO ERROR

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Mathematics Senior High

解答の3行目まででの質問ですが、r≠1を確認する時との違いは何ですか?

考え方 [Check] 例題292 分数型の漸化式 (1) 解 OF CO Focus a=- 1 2 で定義される数列{an}の一般項an を求めよ. SSD OPTID 9 an の逆数 India ( 3700 これまでに学んだ漸化式の解法が利用できないか考える ここ では,漸化式の両辺の逆数をとって考える. 1 - を 6, とおくと、与えられた漸化式は,例題285 an (p.505) のタイプ (an+1=pan+q) となる. An an+₁=₂an_) (s) +=+ 2-an an+1=0 と仮定すると, an=0 これをくり返すと, An-1=an-2 =......=a₁=0 となり, 4=1/12/30 と矛盾するので, ≠0 ここで,(bm= よって, 与えられた漸化式の両辺の逆数をとると 1 2-an 2 ・1 an+1 an an 1 an 3 漸化式と数学的帰納法 *** = とおくと, an= = 1 2-1+1 an 0 (n ≥1) SINCE+an+1 = 1 bn+1-1=2(6n-1),b1-1=1 したがって, 数列{bn-1} は初項1,公比2の等比数列だから、 bn-1=1・2n-1 より, \bn=2n-1+1 6n+1=26-1,61= -=2 a 逆数 OVE となり,n=k+1 のときも成り立つ. よって、すべてのnに対して, an=0 が成り立つ. (南山大) (2014 &+8+8= (- a1 1歳8 + spail it? an 2-an an=0 -=0 トキ」を確認するときとの α=2α-1 より, α=1 An stato stansiy 1=27-1+1 より, an=2n-1+1 分数型の漸化式は逆数で考える 13233) 48ð 注例題292 で an=0 は, これから学ぶ数学的帰納法 (p.532〜) を用いた証明もでき Sant 3·0⁰ る. RITIDS <a≠0 の数学的帰納法による証明 > Cadd n=1のとき, a1=- ≠0 +0¹ 26832203_²5/S5/ESKAO3**# 53* =kのとき, αk=0 と仮定すると, n=k+1 のとき, ak+1= AT 513 ak 2-ak Cas 33 まし 治温室また。分数型の漸化式は,例題292のように逆数を考える方法だけでなく,例題 D 293 (p.516) のように特性方程式を利用する解き方もある。 E

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