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Mathematics Senior High

🅰️では、積分区間が1からn+1であるのに、🅱️では1からnまでなのはなぜですか。🅰️はn+1のところの値をとって積分しているのに対し、🅱️はnであるためでしょうか。

重要 例題249 数列の和の不等式の証明 (定積分の利用) は2以上の自然数とする。次の不等式を証明せよ。 12 log(n+1)<1+1/3+1/1/3 1 n 指針 数列の和 1+ 11/13 + + すなわち, 曲線 y= 証明する。 •k+1 dx k よって ck+1 5x+¹ dx < 1/1/20 k x k 1 k+1 n-1Ck+1 解答 自然数んに対して, k≦x≦k+1のとき y 1 2+1 = = = = /14 1 k 1 2 = 常に 121211/1/28または1/12/11/1/18 ではない = k+1 x k k+1dx から n k+1 k+1 <S^^ Ok であるから x •k+1 dx x ck+1dx + < Aから n 1 k=1Jk k k=1 1n+1 n+1 n Ck+1 2S¹¹ dx =* dx = [logx]"* E=S"+ k=1Jk xC 1 =log(n+1) log(n+1)<1+ k+1 dx <SH+¹( Cから k n Sie k +.. ・+ <logn+1 の下側の面積と階段状の図形の面積を比較して,不等式を Ck+1dx k は簡単な式で表されない。 そこで,積分の助けを借りる。 で区間1 だから、 この不等式の両辺に1を加えて よって, ①,②から, n ≧2のとき tex 1 + + 2 3 yA 0 123…. fn x n-1 n+1 y= Swithdx="x=log.x=logn であるから 10g 1 X x 1 LI I 100 0 123… n n-1 n 式ア n-1 F₁R+1 <=Sh² k= n_1ck+1dx ① 18 18 2 x 基本 245,248 1 1 1+ + + ・+ 2 3 log(n+1)<1+1/+1/1/3 n 1 k YA + 1 k+1 O VIA + *n+1 k {2} k+1 RT <logn+1 + 演習 254 1 + +…….+ <logn 1 3 2 1 n 205 Ak=1,2,.., n と して辺々を加える。 Ck+1 dx x k+1 k Cn+1 + ··· + √₂ 区間の定め方? で k=1,2, として辺々を加える。 1 n 27 x 413 7章 36 定積分と和の極限、不等式 のちに 1を加えて 帳尻を合わ せる? <logn+1 六にするの

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English Junior High

どこを抜き出して答えればいいのか分からないので答えをお願いします🙇‍♀️もし出来れば解説もお願いします🙏

次の英文を読み、以下の問いに答えなさい。 Cow. Chicken. Grass. Which two are in the same group? Your answer depends on where you were born and raised. T fedt af gnofed For a long time, *research psychologists have had an idea that East Asians and Westerners think about the world in different ways. There was not enough scientific *evidence to support this idea until recently. In the past 15 years, however, researchers have learned a lot about different thinking styles and the cultural differences that produce them. The story begins in 1972, when *Liang-Hwang Chiu, a professor of *educational psychology at *Indiana University, tested more than 200 Chinese and 300 American children. He showed some cards to each child. Each card had pictures of three things. One card, for example, showed a cow, a chicken, and grass. Chiu asked the children to say which two things were in the same group. Most of the American children picked the chicken and cow. They explained the reason by saying that "both are animals." Most of the Chinese children, however, put the cow and grass together because "cows eat grass." solib - People didn't think Chiu's study was very important in the years after its *publication because $*psychological scientists at that time paid little attention to cultural differences. In the 1990s, however, *cross-cultural psychology became 2"hot" and Chiu's findings were paid attention to again. 3 Researchers at the University of Michigan did Chiu's study again by testing college students from China, Taiwan, and the United States. Without using pictures, the researchers gave the students with and asked them to say which two three words shampoo, hair, and conditioner, for example 20 were in the same group. The Americans were more likely than the Chinese to say that shampoo and conditioner go together because they're both hair care goods. The Chinese were more likely to say that shampoo and hair go together because "shampoo washes and cleans hair." Why do East Asians and Westerners think differently? Most researchers believe the answer can be Taplapo 77 Step A Step B Step C

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