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Mathematics Senior High

次の問題で青い線の移り変わりが分からないのですがどなたか解説お願い致します🙇‍♂️

例題 294 漸化式 [10]一般の分数型 (2) 5an+3 a1 X, An+1 (n an+3 1, 2, 3, ...) で定義される数列について an a (1) bn が等比数列となるようなα, β (α キβ) の組を1つ求めよ。 an B (2)一般項anを求めよ。 定義に戻る {6}が等比数列 bn+1=rb となる実数 rがある。 思考プロセス an+1 /a wan [≠α となる bn+1 = an+1 -β an [ ≠ β となる (条件 を利用) 6 (2) (1)のα βより, r = {6} は初項[ 公比 等比数列 Action》 漸化式 an+1= rants an-a は,bm= が等比数列となるα β を求めよ pan+g an-β an+1 a (1) bn+1 == 5an +3 an+3 a 46+1 を α で表し, an+1 B 5an +3 B b+1=rb の形を導く。 an+3 3-3a Aan+B=Alan+z)である。 an+ (5-α)an+3-3a 5-α 5-a 分子 (5-xlan+3-30 (5-0)(au+ (5-β)an+3-3β 5-β 3-3β an+ 5-β x: (5-plan +3=JP 数列 {bm} が等比数列となるための条件は (5-0)an+3-30 5-0 3-3a 3-3β √32 = =-a, =-B (5-p)am+3-38 5-p (5-P)(aue= Aut 3 Au f 5-d 5-β よって, α, β は方程式 3-3x=-x(5-x) すなわち α β は方程式 x²-2x-3=0 の2つの解であり x = -1, 3 3-3x すなわち α = -1, β = 3 る。 +1 公比 = (2)(1)より,数列{bm} は初項 5-a 5+1 5-β 5-3 = -1・3"-1 = -32-1 =-1, a1-3 =3の等比数列であるから 5-x =-xの解であ kα=3,β=-1 も条件を 満たすが,この問題では, |適するものを1組だけ求 めればよい。 an+1 an -3 an+1=-3n-1. 3-1 ・an +3" より an 3n-1+1

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English Junior High

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5 10 15 20 25 30 The Olympics were held in Tokyo in 1964. A few years ago before the Olympics, Japan had a big problem. It was a problem of communication. Many foreign people didn't visit Japan, and we had only, Japanese signs. For example, words like "i" or "" were on toilet doors. These signs were not understood by many foreign people. Japanese people at that time needed to make signs in many different languages for foreign people. But when they put many words on one sign, the "letters became too small. They could not easily read the sign. They had to think of ) signs for foreign people. Mr. Masaru Katsumi, a leader of a design team for the Olympics, had a great idea. everyone /to/ was easy / thought / understand he forit pictures. He wanted to make picture signs. These signs are called *pictograms and are used in many places now. Picture 1 Picture 2 Picture 3 Look at these pictures. Picture 1 shows a shower. Picture 2, shows a toilet. Picture 3 shows a restaurant. Foreign people can easily understand what each picture shows. They had to make pictograms which everyone could understand without any trouble. When they started to make them, one of the pictograms was a shower. Many Japanese people didn't know about showers at that time and didn't have one at home. One of the designers didn't even know the word "shower." One officer had to explain how to use it with a photo of a shower. The designer made the pictograms through the officer's words. With a lot of trouble and hard work, twelve designers needed three months and made pictograms for the Olympics. When the last pictogram was finished, Mr. Katsumi said to all the designers, "You did a great job, but this work is not for us. We did it for all Japanese people. Please write your names on this paper." The paper said that they'd like to give up the *copyright to the pictograms. They wrote their names on the paper. They gave up the copyright. One of the designers said, "Mr. Katsumi hopes that many people in many places will use the pictograms in the future. Money from the copyright is not important to Mr. Katsumi. He is proud that he is one of the members who worked for the Tokyo Olympics." In 2020, we are going to have the Olympics in Tokyo. Our life will change a lot. What kinds of new signs or pictograms will we see around us? (E) letter pictogram ピクトグラム(絵文字) designer www. デザイナー officer 役人 copyright 著作権

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