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英語 高校生

①赤いマーカーで引いてある部分(3箇所)の文構造 ②2枚目の写真の赤く囲んであるtoについて訳し方、用法等 ③2枚目の写真の、赤いアンダーラインが引いてあるin existanceの訳し方等 以上の3つを解説いただきたいです🙇たくさんすみません💦よろしくお願いします🙏

Note: This is not a word-for-word transcript. Neil Hello. This is 6 Minute English from BBC Learning English. I'm Neil. Beth And I'm Beth. Neil Shhh! Quiet please! I'm trying to read here, Beth! Beth Oh, excuse me! I didn't know this was a library. Neil Well, what exactly is a library? Have you ever thought about that? Beth Well, somewhere with lots of books I suppose, where you go to read or study. Neil A symbol of knowledge and learning, a place to keep warm in the winter, or somewhere to murder victims in a crime novel: libraries can be all of these things, and more. Beth In this programme, we'll be looking into the hidden life of the library, including one of the most famous, the Great Library of Alexandria, founded in ancient Egypt in around 285 BCE. And as usual, we'll be learning some useful new vocabulary, and doing it all in a whisper so as not to disturb anyone! Neil Glad to hear it! But before we get out our library cards, I have a question for you, Beth. Founded in 1973 in central London, the British Library is one of the largest libraries in the world, containing around 200 million books. But which of the following can be found on its shelves. Is it: a) the earliest known printing of the Bible? b) the first edition of The Times' newspaper from 1788? or, c) the original manuscripts of the Harry Potter books? Beth I'II guess it's the first edition of the famous British newspaper, 'The Times'. Neil OK, Beth, I'll reveal the answer at the end of the programme. Libraries mean different things to different people, so who better to ask than someone who has written the book on it, literally. Professor Andrew Pettegree is the author of a new book, 'A Fragile History of the Library'. Here he explains what a library means to him to BBC Radio 3 programme, Art & Ideas: Andrew Pettegree Well, in my view, a library is any collection of books which is deliberately put together by its owner or patron. So, in the 15th century a library can be 30 manuscripts painfully put together during the course of a lifetime, or it can be two shelves of paperbacks in your home. Beth Andrew defines a library as any collection of books someone has intentionally built up. This could be as simple as a few paperbacks, cheap books with a cover made of thick paper.

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数学 高校生

1番最後の[1][2]から、というところですが、 なぜ(-1)ⁿではなく(-1)ⁿ+¹なんですか💦

例題 28 重要 に分けて和を求める 00000 一般項がαn=(-1)"+1n2 で与えられる数列{an} に対して,Sn=ak とする。 (1) a2k-1+a2k (k=1, 2, 3, ......) を ん を用いて表せ。 (2) Sn= (n= 1, 2, 3, ......) と表される。 k=1 次のように頭を2つずつ区切ってみると Sn=(12-2)+(32-4)+(52-62)+...... =b₁ =b₂ 指針 (2) 数列{an}の各項は符号が交互に変わるから,和は簡単に求められない。」 =b3 ****** 上のように数列{6} を定めると, bk=a2k-1+αk (kは自然数) である。 よってm を自然数とすると [1] n が偶数, すなわち n=2mのときはS2m2=(-1)として求め られる。 k=1 k=1 1 [2]nが奇数、すなわちn=2m-1のときは,Sam = Sim-1+α2m より S2m12m-a2mであるから, [1] の結果を利用して Szm-1 が求められる。 このように, nが偶数の場合と奇数の場合に分けて和を求める。 (1) 2-1+a2x=(-1)2k(2k-1)^+(-1)2k+1(2k)2 =(2k-1)-(2k)=1-4k [1]=2mmは自然数)のとき m m S2m=(a2k-1+a2k)=(1-4k) =m-4. m= =1であるから Sn -m(m+1)=-2m²-m =-2(2)-=-n(n+1) [2]=2-1(mは自然数) のとき 2m+1. azm=(-1)2 '(2m)'=-4m² であるから S2m-1=S2m-a2m=-2m²-m+4m²=2m²-m n+1 m=- であるから 2 S,=2(n+1)_n+1=1/2(n+1){(n+1)-1} = n(n+1) [1],[2] から Sn=(-1)+1 2 -n(n+1) (*) (-1) =1, (-1)=-1 ={(2k-1)+2k} ×{(2k-1)-2k} S2m= (a1+a2) +(as+αs) +...... +(a2m-1+a2m) Sm=-2m²-mに 2=1/27 を代入して,n m= の式に直す。 <S2m=S2m-1+a2m を利用する。 S2m-1=2m²-mをnの 式に直す。 451 (*) [1], [2] のS” の式は 符号が異なるだけだから, (*)のようにまとめるこ とができる。 一般項がαn=(-1)n(n+2) で与えられる数列{an} に対して, 初項から第n項ま での和 S を求めよ。 1 章 ③種々の数列

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