合同式を用いた回答の方が分からないのですが、なぜ偶数と奇数で場合分けをしているのですか？

534 ME XX 00000 重要 例題 100 等差数列と等比数列の共通項 列{an}の項でもあるものを小さい方から並べて数列{cn} を作るとき, 数列{cn 数列{an}, {bn}の一般項を an=3n-1,bn=2” とする。 数列{bn}の項のうち、数 の一般項を求めよ。 重要 93 基本 99 指針▷>2つの等差数列の共通な項の問題(例題93) と同じように,まず,a=bmとして、1mの 関係を調べるが, それだけでは {cn}の一般項を求めることができない。 そこで, 数列{an}, {bn} の項を書き出してみると,次のようになる。 (an): 2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, {bn}:2,4,8,16,32, Handlin を順に調べ､規則性を Ci=b, Ca=b3, C3 = bs となっていることから,数列{bn}を基準として, 6m+1 が数列{0.² の項となるかどうか, bm+2 が数列{an} の項となるかどうか、 見つける｡ 解答 a1=2, b=2であるから C1=2 数列{an}の第1項が数列{bn}の第m項に等しいとすると 3l-1=2m U-18 ゆえに bm+1=2m+1=2m・2=(3-1)・2 = 3.21-2 よって, bm+1 は数列{an} の項ではない。 ①から bm+2=26m+1=3.4l-4 =3(4-1)-1 ゆえに, bm+2 は数列{an} の項である。 したがって {C}:b1,63,65, 数列 {cm} は公比 22 の等比数列で, C1 = 2であるから Cn=2.(22)"-1=22n-1 22n=4"=1"≡1(mod3) [2] m=2n-1(nは自然数) とすると 規測性から 答えを予想はできたこ SS 3･O-1 の形にならない。 JANE 重要 初項が 10g10 3= 141) 10 △×(2) 初 30 \-=b (s) 7V=5,2V=D 検討 合同式(チャート式基礎からの数学A 参照) を用いた解答 3n-1=-1≡2(mod3) であるから, 2" = 2 (mod3) となるmについて考える。 [1] =n(nは自然数) とすると 1970 4" cn=122 などと答えてもよ L 22n-1=22(n-1).2=4”-1.2=1"-1.2=2 (mod3) [1],[2] より,m=2n-1 (nは自然数) のとき 2” が数列{cm} の項になるからコ Cn=bzn-1=22n-1 指針> 練習 数列{an},{bn}の一般項をan=15n-2, bn=7.27-1 とする。 数列{bn}の項のう (4) 100 ち,数列{an}の項でもあるものを小さい方から並べて数列{c,}を作るとき, 数列 {cn}の一般項を求めよ。 .631 02 解答 (1) 初 103- 各 ゆ よ す n G

至急！ 本文の下にある　６　６．　７．　の答えを教えて下さい!

Q. Listen and choose the best match for the picture on the right. Part 1 56 artificial intelligence inteled(a)ms/ handle(s) hend(a)l(z) deal dil/ assistant asEstant/ reply pla possible <pQ{:}xəbə]f? huge bjuds knowledge Fadlidy appropriate (apróxprist? seem istam/ safety st Sakura reads about the spread of AI. AI, artificial intelligence, handles a great deal information. It makes decisions like humans. Al is in many systems today. Voice assistant systems are one example. When ask something, the systems give you a quick reply. is this possible? They access a huge online knowled database. From this, they choose appropriate words make answers. The answers created by Al often seem: be just for you. This is because the systems are alwa collecting data about you. AI is also used in air conditioners, robot vacuu cleaners, car safety systems, and so on. They help lives a lot. Al seems to make everything possible. 6. this は何を指しますか。 6. They は何を指しますか。 7. this は何を指しますか。 1. a great deal of 12. "and so on 6. access の品詞と意味は? 7. database dentabes! 7-9-2 11. air conditioner fear kandif(a)nar! IPI vacuum cleaner vækjuam kita

（１）なんですが、解答がIt has been raining for two hours.でした。なぜ、has begunにならないのでしょうか。

4 次の各組の文がほぼ同じ内容になるように, It began to rain two hours ago, and it is still raining. (1) It raining They went to Kyoto, and they aren't here now. They to Kyoto. Roy got sick last Sunday. He is still sick in bed. (3) Roy sick in bed (2) に適する語を書きなさい。 two hours. 完了 335 (未・食・益題)資本) ext Sundlast Sunday.

a、b、dどれも答えになるような気がするのですが、どれでしょうか？

D Now, many governments, environmental protection organizations, and NGOs 処理する PE FAM are dealing with the task of wildlife protection. There are some laws that BER prohibit hunting, limit land development, or create protected areas for wildlife. 経済の However, it is also important to balance wildlife protection and the economic activities of local people. If they remain poor, illegal hunting and farmland 拡大 expansion will not stop. To solve the problem, the idea of "eco-tourism" been getting a lot of attention recently. It not only creates jobs for people 促進する。はげます。 also encourages them to protect the wildlife around them. 10/ has but

4,5,6の空欄に何が入るかわからないので教えていただきたいです。また6の訳し方がわかりません。broadを広いという意味で訳していいんでしょうか？

4. 5. 6. Shall we have lunch together? How ( いつでも work Whenever they meet, they always quarfel. They never meet ( marfel. experience as a teacher. ) having lunch together? not having worked provoseib I oxote ods of ( sno doT ) quarreling. betod sed noog of Needless to say, she has broad experience as a teacher. ) goes ( ) ( 喧嘩 not to work OX Dradaractor n awon to oled somit ynem wore srit (- (中京大) ( 東京理科大 ) (津田塾大・改) se sved lliw sile zA ) that she has broad

教えてください お願いします🙇‍♀️

17 Traveling in Taiwan from Tokyo. It is about the same size as Kyushu. Taiwan is close to Japan. It only takes about four hours to get there by plane One popular tourist spot is Taipei 101. It is a 508-meter-tall building in the city of Taipei. It is the tallest building in Taiwan and it looks like a bamboo tree. If you go up the building, you can have a great view of Taipei. At the northern end of Taiwan, there is a small area (call) It is a lovely area with stone steps and red lanterns. There are many old buildings, small shops and restaurants. Jiufen. 2 Lanterns give a wa warm light in the evening. Don't miss the food in Taiwan. You can find food stalls all over Taiwan, particularly at night markets. They sell all kinds of local food: noodles, shaved ice and milk tea with tapioca. The local food is delicious and cheap. There are so many things (see) and do in Taiwan. I'm sure you will like it. A 次の文が下線部とほぼ同じ意味になるように,( )内に適切な語を書きなさい。 ) ( It is taller ( ) ( 3 B ② 3の()内の動詞を適切な形にしなさい。 ただし, 1語とは限らない。 (3 Notes C 本文の内容にあわないものを1つ選び,記号を書きなさい。 7 It takes about four hours from Tokyo to Taiwan by plane. ✓ Taiwan is as large as Kyushu. In Jiufen, we can see warm lights of lanterns all day long. I We can eat the local food at the night market at low price. ジャーマ Taiwan northern 北の food stall spot tourist きゅうふん Jiufen JG(L) night market iti ) building in Taiwan. SOUND 10 Taipei (%) bamboo lantern ちょうちん tapioca タピオカ stone step # shaved ice かき氷 -tit 17

このお話はまとめるとどういう話なのでしょうか？

Mama's Bank Account (1) I am Katrin. When I was a child, all my family lived in a small house in San Francisco. My family members were Mama, Papa, my elder brother Nels, my younger sisters Christine and Dagmar, and I. We were immigrants from Norway. I remember that every Saturday night Papa brought home a little envelope with his pay in it. Mama would sit down by the kitchen table with a serious look. She was counting it out. There would be several piles of coins on the table. "These are the rent," Mama would say, and set aside a big pile of coins. "For the grocer." She set aside another pile of coins. "For Katrin's shoes," and Mama counted out the coins. "I'll need a notebook this week." Nels said, and Mama put aside a ten-cent coin. At last, Papa would ask, "Is that all?" Mama would nod and say, "That's good. We don't have to go to the bank to withdraw money."

これを解いていただけませんか？

曲線 C:y=xsinx + cosx (0<x<フ)上の点(t, tsint + cost) におけるCの接 iar (x)\ 線とy軸の交点を (0, f(t)) とする. (1) f(t) を tを用いて表せ. 875502- ACID (2) 関数f(t) (0<t<号) は,極値を1つだけもつことを示せ。また,その極値は極 2 大値と極小値のどちらであるか答えよ.

お願いします🥺

17. 各文の誤りを訂正せよ。 (1) He works very hardly every day of the week. (2) I didn't go to anywhere last Sunday. (3) You are dangerous to bathe in this river. (4) You are necessary to study English harder. (5) You are difficult to operate the machine. (

何度も質問してすみません よろしくお願いします🥺

練習問題 15. かっこ内の正しいものの番号を記せ。 (1) The tea tastes too (1 sweet 2 sweetly) for me. (東京芸大) (2) It is (1 much 2 very) cooler today than it was yester- day. (岡山理大 ) (3) She works hard in the office for a (1 little 2 few 3 cheap 4 small) salary. (共通1次 ) 3 many (4) My house is so small that I have (1 few 2 little 4 much) furniture in it. (大正大) 解答は別冊 41 ページ (5) "It was (1 pleased 2 pleasant 3 pleasure) to see you at the party last night." (日本大) (6) He spoke so quietly that we could (1 almost 2 rarely 3 hardly 4 little) hear him. (二松学舎大) (7) It happened in the (1 late 2 later 3 latter 4 last) half of the 19th century. (京都産業大) (8) He has visited (1 most 2 most of 3 almost 4 almost of) countries in Europe. ( 桃山学院大 )