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English Senior High

文章を読み200字以内の日本語で要約して欲しいです

Ⅰ 以下の英語の文章を200字以内の日本語で要約しなさい。 ad a We often forget that an important part of "scientific" knowledge was built on the study of alchemy and other magical practices Alchemists were interested in changing certain metals into more valuable ones For example they tried to change lead into gold, However, they also wanted to produce medicines (that would allow people to live forever or cure any disease. The philosopher's stone is known to us today from the Harry Potter series of To novels and movies This magical stone was believed to have enormous powers and make you capable of doing and knowing pretty much everything. 可能にする *John Dee was an alchemist (who was particularly interested in the problem <of foretelling the future from the positions of the stars and other planets He was also an expert in ordinary mathematics and navigation, One of his most * ふつう fell important projects involyed, research (on a universal language (for 巻き込む communicating with angels!Dee was extremely successful He made a lot of money/had (extremely high status (in universities and government, and owned one of the best libraries in Europe/much of it dedicated to magic. 捧げる However towards the end of the sixteenth century/ideas about magic were changing. Many Christians in England were unhappy(that people were still キリスト教入 communicating with the spirit world which was one of the goals of sixteenth century magicians, As you know Japanese people welcome the spirits of ancestors into the house during the Bon festival European Christians were not happy (about that kind of thing, and they complained (about similar European festivals like Halloween) At the same time, many Christians were afraid that alchemists might be trying to steal God's power. As a result, there was a powerful movement to shut down magic once and for all. 禁止する ALE V n You may be familiar with the Japanese manga and anime series *Fullmetal 45% a Alchemist./The story takes place (in a fictional world in which alchemy continues to function as a normal part of scientific knowledge For example> the heroes (of the series are searching for the philosopher's stone,/and alchemists carry out important work(on behalf of the government/If our 利益 modern world had developed (in the same way as the world of Fullmetal Alchemist people like John Dee would probably have continued to do well. In fact, he lost his jobs and money and died in poverty. 1

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Mathematics Senior High

長方形で囲んでいるところなんですけど、どうして等比数列ですか?bn+1=2(bn-1)だったらわかるんですけど、左側に謎にマイナス一がついててよくわかりません。お願いします。

498 105tの1次式) 型の漸化式 次の条件によって定められる数(a)の一般項を求めよ。 -3, -20.-n CHART VOLUTION 漸化式 past (n の1次式) (1) ①1 階差数列の利用・・・・・・[2] ② +(n+1)=pla-f (n)) と変形 ・・・・・・ また ①から 更に 2の変形については右ページのズームUP を参照。 下の解答は山の方針による解法で、別解は②の方針による解法である。 +2=2x+1- (n+1), an+1=2an-n 辺々引いて bn=ants-an とおくと an+2ax+1=2(an+1−αn)-1 bx+1=2b-1 b₁-a₂-a₁=(2-3-1)-3=2 b-1-2(bn-1) 'b1-1=1 ゆえに,数列{bm-1} は初項1,公比2の等比数列となり bn-1=1.2"-1 b=2-¹+1 すなわち よって, n≧2のとき カー1 5 (21+1)=3+2"-1+(n-1) 2-1 k=1 =2"-1+n+1 α=3であるから, この式はn=1のときにも成り立つ。 したがって an=2"-1+n+1 別解 an+1=2an-n を変形すると an+1- (n+2)=2{an-(n+1)} jan+1=2an an+1 - an= +(n-1) から an+1を an=2n-1. 1-S α=2a-1 を a=1 また a₁-(1+1)=3-2=1 ゆえに, 数列{an- (n+1)} は, 初項1,公比2の等比数列と なり an-(n+1)=1.2-1 したがって α=2"-1+n+1 azza-n inf. bn=27-1 た後は 求めて <-n=12 20+1+ この変 参照。

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