英語の質問です！ 画像の（画像暗くてすみません💦）の赤線引いた所の文で、「bags'」と書いてあるのですが、なぜbag'sではないのですか？ 教えて頂けると有り難いです！m(_ _)m

to the city. Can we do anything to make foreign tourists more interested in our city?" Mary, one of the but only a few foreign tourists come members from Australia, said, "Why don't we make a video about Hikari City in English?" All the members said, "( ↑ )" The leader said, "OK. Let's make a great video and ask the staff members in Hikari City Hall to use it on their website." Then, three members went to Hikari Castle to get information and two members visited Hikari Flower Park to know more about it. Ryota and Mary were talking about Hikari Sunday Market. Mary said, "We can see the market in front of Hikari Station every Sunday. One of my classmates told me about it when I came to this city from Australia last year. I like talking with local people there. We can eat local food." Ryota said, "That's great. We can find something interesting there for our video. Can you go there with me this Sunday?" She said, "Of course." On the Sunday morning, Ryota and Mary went to Hikari Sunday Market. There were about fifteen stands and some people were buying products there. Mary said, "Look, that is my favorite stand." A woman at the stand was selling juice and cookies. Mary said to her, "Ms. Tanaka, the carrot cookies! bought last week were delicious. What do you recommend today?" The woman smiled and said, "Thank you, Mary. How about fresh tomato juice?" Ryota and Mary had the tomato juice and Ryota said, "Wow. it's delicious. How did you make this delicious juice?" Ms. Tanaka said, "Well, I use my mother's fresh tomatoes. She is a farmer in this city and picks them early in the morning every day." Ryota said to Ms. Tanaka, "I really love this juice." After saying goodbye to Ms. Tanaka, Mary found a new stand. She said, "Look at the stand which sells bags. They are so cute." Ryota agreed and said to Mr. Ito, the man in the stand. "Did you design them?" Mr. Ito said, "Yes. I designed them and the bags cloth is made in Hikari City." Ryota said, "Sounds interesting." Ryota and Mary walked around the market and enjoyed spending time there. 三重県'23年 英語 問題 (5)

(1)についてです。 どうしてこのやり方では答えが違ってしまうのかを教えてほしいです。

B1.13 a16 等比数列{a} において,atatas+a=4,astas+a+b=20である。 の値を求めよ. (1) S=a+a2+a+......+ 数列{an}の初項をα 公比をとする. (2)T=a+aio+au+....+a16 の値を求めよ. r=1 とすると, a,+a2+as+a=4a より 4a4 だから a=1 このとき, as+a+ar+ as=4 となり, as+a+a+a=20 に反するので, r 1 したがって、この等比数列の初項から第n項までの和は, [r≠1 を確認する。 Be a(r"-1) より、 r-1 a1+a2+as+a= = a(r-1) r-1 =4 ...... ① a +a2+as+a+as+as+a+as=4+20=24 より ar-1)_a(ri-1).r'+1)=24. r-1 r-1 ② ①を代入すると, 4y'+1)=24 より r=5 (1) S=a(zo-1)_a(n-1).(n+1) r-1 r-1 ②と=5 を代入して, S=24.(5'+1)=624 (2) T=as+a+a+ + α16 =a,+a2+....+a16-(a+a2+ ...... +αg) =624-24=600 別解 T=ar+ar+arl+..... + aris ar(-1) r-1 ②とr=5 を代入して, T=24・5°=600 06 1001 PL 00 |r-1=(z+1)(r'-1) r=r 010 (初項are, 公比r(≠1)の等地 数列の初項から第8項までの 和

英作です。文法等間違っていたら教えてください🙇🏻‍♀️

Sen ban Mudan an 2 リビングルームで (佐賀) 次の2枚の絵は, 母, 裕子 (Yuko), 修 (Osamu) がリビングルームにいる場面である。 ① ~ ④の順序で会話が成 り立つように(a) (b)に適当な英文をそれぞれ単語を5語以上使用して書きなさい。 それぞれ2 上になってもかまいません。 ② Why? ③ ( b a ④ Sorry, Osamu. a b You don't have to watch TV. As Osamu cant concentrate on studying.

(2)についてです。なぜMa=Tなんですか？Aも加速度5.6なのでMa＋T=2.8×5.6とならないのですか？

772物体の運動 なめらかな水平面上に物体Aを置き, 糸をつけ,滑車を通して図のように質量 2.0kgのおもりBを つるしたところ, おもりBは加速度 5.6m/s2で降下した。重 力加速度の大きさを 9.8m/s2 とする。 (1) おもりBが降下中の糸の張力の大きさTは何Nか。 (2) 物体Aの質量 Mは何kg か。 A an B 20 例題 16

この英作文の添削をお願いします。 テーマは「外国人に日本のどの場所を紹介したいか」です。 他の制限は特にありません。 字数制限は守りました！ 添削お願いします。

岡山大学 2021 I would introduce Nava and Kyoto, because there are a lot of would heritage sites. For instance, Houryuji - temple is the oldest structures of wood in Japan. It relates to Shotoku taishi who is the person in Asuka era. And, It relates to Buddhism, so many people who are intereseod in Buddhism visit there. Also, Kiyomizu - temple is the most famous and popular temple in Japan. At there, you can see the red and yellow leaves duling autumn, so many people visit there to see them in Autumn. There is an old shopping street on the way to Kiyomizu- temple. You can enjoy eating Japanese dishes or looking for Japanese sorvenir. Therefore, I want foreign people to Visit there,

（2）についてです。g（x）=0が0<x<1以外に解をもつ場合はないのですか？回答よろしくお願いします！

ま問題 にして, ca be log√bc log√ca 12>04 (x) a-c .d& g'(x)=f'(x)-1≤1-1<0 第4! 微分 a 0=\)\ となり、 bc c-b ab log + be log + a log ca a-c a+b+c+2√ab+2、bc+2√ca =1 ここで、√a+6+√c=1 の両辺を2乗すると, (√a+√√b+√c)²=12 syabtv/bc+√ca ...... ① であるから,g(x)は単調減少な関数である。 ここでg(0),g(1) を考えると, *go g(0)=f(0)-0=1+e=20 g(1)=f(1)-1=1 1+e ab+c+√ca=1-(a+b+c)....② もつ。 したがって,g(x)=0は0<x<1にただ1つの解を == e+1 e+1 中間 2 また、√a++√c=1のとき,(2)より,0x (3)(2)において よって、f(x)=xはただ1つの実数解をもつ。 g'(x) ある. Toge f(x)=x を満たす y=x/ 190-18- a+b+c ......3 loga <0 f(x)は logi 01 1=x+p+q s ただ1つの解をβと おくと, 0<β<1で あり、 x)(am,f(an)) y=f(x) 0 1- f(B)=β① an ab b b-a a C ca a b a-c log 4 1 関数f(x)= について,次の問いに答えよ. 1+e c-b ② ③より, ab+√bc+√/ca2 3 よって ①より bc -log- + -log 3 1 a+b+cz . *22 an+1 8 1 x 1-(a+b+c) ≤1-1/2-1/2 また、条件より f(a)=an+1 ② ①②の辺々の差の絶対値をとると 3 f(a)-f(B)1=la,+1βL③) ここで,_amキβ のとき, f(x) に平均値の定理を用い ると, an-B f(an)-f(B)=f'(c) ....... 次のよ (021) (1) 導関数f'(x) の最大値を求めよ. (2)方程式 f(x)=xはただ1つの実数解をもつことを示せ.p)+(play (3) 漸化式 an+1=f(a.) (n=1, 2, 3, ...) で与えられる数列{a} は,初項 α, の値によら ず収束し、その極限値は(2)の方程式の解になることを示せ. (1) f'(x)=- (1te_^*) e (1+e) 1+2e+e 2x 1 1 *+2+e__** +++2 ここで0.10 であるから,相加平均・相乗平 を満たすc が と β の間に存在する. ④を変形して, \f(am)-f(β)\=lf'(c)lla-B ③を用いると, |an+1-Bl=\f'(c)lla-B....... ⑤ つまり、⑤を満たすc が, am とβの間に存在する. (1)より、f'(x)=1であるので, 微分 分母,分子にe を掛ける lam+1-B1=\f'(c)lla-Bl 737 ya laß よって 立つ 均の関係より, e+ +22√2 e+2/+224 したがって, f'(x)=- 1 1 e++2 e* よって、f'(x) の最大値は, (2)g(x)=f(x)-xとおくと, 等号成立は,e=1 すなわち、x=0 のとき 両辺ともに正より逆数をと る. 19480 201 また,am=βのときも ⑥は成り立つ. ⑥をくり返し用いると したがって, のと 0<lan-Bal d であり, lim うちの原理より, Ka a (C -1 と 2a-β=0であるから、⑦とはさみ

(Ⅱ)が全く分かりません😭 1行目の‪α‬^n-1もどこから来たか分かりません シグマの計算部分もよく分かりません！ 教えてください！

精講 an+2=pan+1+gan の型の漸化式の解き方は 2次方程式 t2=pt+g の解をα βとして,次の2つの場合 ます. anをしとして an 2次方程式を解をの、とする (I) αキβ のとき an+2=(α+β)an+1 -aβam より an+2-aan+1=β(an+1-aan) ・① an+2-Ban+1=α(an+1-Ban) ② ①より, 数列{an+1-aan} は, 初項 α2-aa1, 公比βの等比数列を表す an+1-aan=β"-1 (azaar) ......、 同様に,②より,an+1-βan=an-1 (aβas) .......② ①-②'より, (B-a)an=ẞ"-1 (a2-aa₁)-an-¹(a2-Ba₁) ト β-1 (a2-aal)-an-1 (a2-Bas) . an= (LBSTB-a 注 実際には α=1 (またはβ=1) の場合の出題が多く. その場合は階 列の性質を利用します。 (本間がそうです) (II) α = β のとき an+2-aan+1=α(an+1-aan) : an+1-aan=α-1 (a-aa) つまり,数列{an+1-αam} は, 初項 α2-da, 公比αの等比数列. (s) 1=2 an a2-ad1 = n+1 ani a² & ③の両辺を α"+1でわって, an An+1 n n- n≧2 のとき, ak+1 k+1 ak k n-1 a2-aay = k=1 a k=1 Q2 よって, an a an as-(n-1).az-aa = =(n-1)・ .. an=(n-1)αn-2az-(n-2) an-1a1

教えてほしいです

1 次の各英文で,空所に入れるのに最も適切なものを,それぞれ下の①~④のうちから一つずつ選びなさい。 (1) It is true that training helps improve performance, ( ) there must be some limit to how fast a person can run. 1 as ( SO ③ but because ) we didn't arrive on time, we were not allowed to enter the lecture hall. ①Because Although (3) Therefore However (3) Sunlight produces vitamin D in our bodies, which is necessary for good health. ( ), doctors tell us that spending too much time in the sun can result in skin cancer. ①Because 2 Thus 3 Suppose ④However (4) People have been using white vinegar as a natural alternative to chemical treatments, ( A ) it can lower blood sugar, kill bacteria, and help treat insect bites. ( B ), these benefits might come with some risk. Vinegar's acid can also damage your stomach, throat, and teeth. ①A: since B: Therefore 3 A: though B: However 2 A though 4 A: since B: Therefore B: However (5) We were planning to travel abroad this summer, ( A ) we ended up staying home ( B ) we were both too busy. A while B: so 2 A: but B: because (3) A: so B: though 4 A: since B: but

2番よくわかりません

α=0, an+1=2an+(-1) ある. an (1) bm = とおくとき, bm+i を6m で表せ. 2n (2)6m を求めよ. (3) an を求めよ. 数列{al t 精講 an+1=pan+gn+1 (p = 1, g≠1) 型の漸化式の解き方には、 通りがあります。 Ⅰ. 両辺を pn+1でわり,階差数列にもちこむ 125ポイント) II. 両辺を g”+1 でわり, bn+1=rbn+s 型にもちこむ この問題ではIを要求していますから, ます。 参考 IIによる解法を示 an+1=2an+(-1)n+1 1744 ・① (1) ①の両辺を 2 +1 でわると, an+1 an 1\n+1 = 2n+1 2n 2 an 2n n=bn とおくとき, an+1 2n+1 ② より bn+1=b+ 1\n+1 2 (2) n≧2 のとき, bn=b₁+(-1)** 1\n-1 2 2 ①に,a an+1= 代入して =bn+1 と表せるので 122 E 119 初項 項 =0+ = 4 1 1+ 2 等 これはn=1のときも含む. ◆吟

教えてほしいです

① 次の各組の英文がほぼ同じ内容を表すように,に適する語を書きなさい。 (1) Looking at his alarm clock, he turned pale. he at his alarm clock, he turned pale. (2) As I hadn't heard from him, I decided to visit him. (3) If other things are equal, I will take this job. Other things ding heard from him, I decided to visit him. I will take this job. arrived at Naha around noon. reading, he listened to music. (4) Our plane left Haneda at ten, arriving at Naha around noon. Our plane left Haneda at ten, (5) Since he was tired of reading, he listened to music. ever h (6) My father sat on the sofa, and his legs were crossed. My father sat on the sofa, his legs (7) After the sun had set, the boys started for home. The sun the boys started for home. (8) If we speak generally, Japan has a mild climate. Japan has a mild climate. (9) Her mother having left her room, she began to cry bitterly. her mother (10) Unable to swim well, he doesn't like the sea very much. he left her room, she began to cry bitterly. swim well, he doesn't like the sea very much. (11) Turning to the left, you'll find a tall building on your right. you do/nothing) to the left, you'll find a tall building on your right.