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Mathematics Senior High

この解き方でも大丈夫ですか?整数です

⑩んがでないときは明らかに不適である。 n=2のとき 2.4.6× h=3のとき 3.5,90 n²4のとき 素数は32+1 or 3F-1 (Kは自数) C C n+1=3kでn+1が3の倍数( になるため不適。 Example 12 ***** 整数nは 1≦n≦100 を満たす。 n, n +2, n +4 がすべて素数となる整数 は何個あるか。 以上より、にん 100を満たす整数い について、n、n+2、h+4が全て素数 となるんは3のみ。よって1個。 2とかは? 解答 まず,n,n+2, n+4のいずれか1つは3の倍数であ | key ることを示す。 n 2を3で割っ りで分類し,n,n+2 nはn=3k, n=3k+1, n=3k+2 (kは整数)のいずれかの n +4のいずれか1つが 形で表される。 [1] n=3k のとき nは3の倍数である。 [2] n=3k+1 のとき n+4=3k+6=3(k+2) であり, k+2は整数であるから, (i)n=3k+1のとき n+4は3の倍数である。 ht2=3k+1)でk+1より [1]~[3] から、n+2 +4のいずれか1つは3の倍数で ( n, ある。 れたが3の倍数であるため不適 (ⅲi)n=k-1のとき n+2=3k+3=3(k+1) であり,k+1は整数であるから, n+2は3の倍数である。 [3] n=3k+2 のとき 1 s 3の倍数であることを示 す。 よって, n, n+2, n +4がすべて素数であるとき, いずれか1 つは3である。 n=3のとき, n+2=5, n+4=7 であるから, n, n+2, +4はすべて素数である。 n+2=3のとき,n=1 となり, 1は素数でないから,不適。 |n+4=3のとき, n=-1 となり,1≦n≦100 を満たさない から、不適。 以上から, n, n+2, n +4 がすべて素数となる整数nは, n=3の1個である。 Support 3の倍数で素 数であるものは3のみで ある。 3×1 3×2 3x4 3X5

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English Senior High

回答お願いします。また、どんな話なのかも教えてほしいです🙏

13 20 速読 問題 Reading 1/52 Reading €77 Grammar /16 Writing have no choice but to~ /12 "Unless you're frank here, you'll go hungry all the time." When I was invited to an 次の英文を3分15秒で読んで, 1. の問いに答えなさい。 American woman's house for Christmas, her mother said to me, "We usually don't have a regular breakfast. Will you need breakfast tomorrow?" Out of reserve, I was not able to say "Yes, I will," because (1)that would require her to prepare breakfast for me 5 alone. I had no choice but to say, "No, thank you. (2)Her mother took me at my word, and assumed that I was also in the habit of skipping breakfast. When I was back at the university after the holidays, I (3)brought up the subject with a few Americans. 4)"If you had been in my place, and had needed breakfast, what would you have said?" One person said, "Your friend's mother was being frank, so I'd 00.00% 10 have said frankly, 'If you could prepare a little breakfast, I'm sure I'd enjoy it. (5) Otherwise, I'll eat out." Another person said, "That's not so polite. I'd have asked her politely, 'If you could prepare breakfast for me, I'd appreciate it." They asked me why I had been reluctant to give a frank opinion. I explained the Japanese cultural viewpoint. In Japan, immediately accepting an 15 offer of a meal is regarded as impudent; such an invitation is supposed to be declined at least once. But the host realizes that the guest has declined out of reserve, and makes it a rule to ask a second time. A Japanese guest never insists on being served a meal. The host understands the situation and the feelings of the guest and reacts appropriately. (7) "That idea has no chance at all of working here," one American said with total frankness. She continued, "Unless you're frank here, you'll go hungry all the time." (294 words) /11 reserve [rizá:rv] , be in the habit of ~ing 〜するのが習慣になっている 15 decline [diklain] (丁重に) 断る 19 appropriately [ǝproupriǝtli] 〜するしかない 13 reluctant [rilíktant] 気が進まない 嫌がる 精

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