数学です。 ②の式はどうやって出すのですか？ 教えてください🙇‍♀️

an+1=pan+αの形の漸化式 p, gが0でない定数で, カキ1 のとき, 漸化式 an+1=pan+g …………① 本 商平 と初項 α1 が与えられた数列{an} の一般項を求める方法を考えよう。 5 ① に対して, 等式 a=pa+g ② 日本 an+1=pan+q を満たす定数 α を考えると, ①-②より, -) a =pa+g an+1-a=plan-α) an+1-a=plan-α) ③ よって, 数列{an} の各項から定数αを引いた数列{an-α} は, 初項 α-α,公比」の等比数列となり,このことを利用して数列{an} の あい (I+s 一般項を求めることができる。 平 たとえば, 漸化式 an+1=3an-8 については, 等式 α=3α-8 を満たす 定数αを考えると, α=4であるから, an+1-4=3(an-4)と変形すること ができる。

大至急！ 英語の授業で海外旅行の計画を発表しなきゃいけなくて、全然文章が考えられないんですけど、どうしたらいいですかね？？ ちなみに中2です 行く国　ルクセンブルク 訪れる場所　ヴィアンデン城 食べるもの　クェッシェンタールト、クニーデレン 買うもの　villeroy＆b... 続きを読む

ベストアンサーします。 STEP3を書いて欲しいです。 おすすめの場所は何処でも大丈夫です。

ぴったりの おもてなしプラン STEP1 情報を聞き取ろう 3人の外国人中学生が夏休みに日本に遊びに来ることになりました。 日本滞在中に楽しんでもらうために、どこに案内してあげたらよいでしょ うか。 彼らの話をよく聞いて、ぴったりのプランを考えましょう。 3人の自己紹介メッセージを聞いて、下の表に情報をメモしましょう。 (3) パータル 名前 来日回数 ① レイチェル (Rachel) パウロ (Paulo) (Baatar) してみたいこと 和食を食べたい • ・海へ行って泳ぎたい・富士山を登りたい 興味のあること ・古い寺や神社を見たい STEP 2 案内するプランを考えよう 3人のうち1人を選び、その人を案内するプランを考えましょう。まず、 その人が「何と言ったか」をまとめ、 次に「いっしょにどこへ行きたいか」を考えて、 (例)にならってグループ内で発表して確認しましょう。 (例) Rachel told us that she has never been to ... So I want to go to .. with her. It will make her happy- STEP 3 プランをメールで知らせよう STEP2で考えたプランについて、 相手にメールで知らせることにします。 発表した内容をもとに,次のメールを完成し ましょう。空欄には、そのほかに日本でのおすすめのものことや、メッセージなどを自由に入れましょう。 Hello, Thank you for your mesango. You told us that So I want to How do you like this plan? ★ Bye for now, 800 (例)Have you ever tried okonomiyaki? If you like, I can take you to my favorite okonomiyaki restaura

英語の長文です。 文法表現のあるところが知りたいです。 よろしくお願いします。

UNIT 1 5 Reading Passage 10 15 20 20 25 Listening There are more than 37,000 known species of spiders in the world in a wide variety of shape's and sizes! The largest spiders in the world live in the rain forests of South America and are known by the people who live there as the "bird-eating spiders." These spiders can grow up to 28 centimeters in length- about the size of a dinner plate, and, as their name suggests, have been known to eat small birds. In comparison, the smallest species of spider in the world is native to Western Samoa. These tiny spiders are less than half a millimeter long — about the size of a period on this page and live in plants that grow on mountain rocks. - Some people like to keep spiders as pets, particularly tarantulas, which are native to North America and can live for up to twenty-five years, Most people, on the other hand, do not like touching spiders, and a significant number of people are afraid of them, mainly because of their poison. However, despite their bad reputation, only thirty of the 37,000 known species of spiders are deadly to humans. Spiders actually provide benefits to humans, by catching and eating harmful insects such as flies and mosquitoes. - - The main thing that makes spiders different from other animals is that they spin web's to catch the small insects they feed on. The unique silk of a spider's web is produced by special organs found spider web is five times in the lower part of the spider's body. It is light, elastic, and strong stronger than steel. Additionally, it is completely biodegradable. This means that the web will making it perfect for uses completely decompose¹ and eventually return to nature over time such as making fishing nets. Some people have tried to raise spiders commercially in order to collect the silk these spiders produce, but no one has ever really managed to make a go of it. One reason why these businesses never stand a chance is because it takes 670,000 spiders to produce half a kilogram of silk, and all of these spiders need living insects for their food. In addition, spiders are usually solitary² animals, and need to be kept alone. Researchers at an American company working together with two U.S. universities may have found a solution to making artificial spider web. Using genetically modified silkworms,³ the company hopes that in the long run it will be able to make large quantities of very light, very strong fiber for medical as well as other uses. Additionally, because the manufacture of the artificial web is from living silkworms, the industry potentially would be non-polluting and less harmful to the environment

下線部②のitと、③のones を本文中の英語で言い換えてほしいです！！

現在過去未来の完了形 3 現在完了形 2過去完了形 3未来完了形 4 現在完了進行形 5 過去完了進行形 Reading [思・判 ・ 表 12-14 本文 米 / LQ:米 40 13 12 Read the passage and answer the questions. Mr. Kunihiko Murai is a farmer who ( 1 ) rich from hydroponic farming. When he was young, Mr. Murai thought that the traditional way of farming was not exciting at all and he was looking for a new kind of farming. He read many books, and 5 finally learned about hydroponic farming in 1966. At first, Mr. Murai made an area to put water. He didn't add any soil, because he knew that the minerals in the water could help his plants grow. So, he put one hundred tomato plants into it. They grew fast and covered a large area. They also tasted 10 delicious. From the next year, he made the area with water bigger because he wanted to try to find the best way to grow vegetables with hydroponic farming. He used a lot of water for his experiments, so some people near his farm thought he was a very bad farmer. Later, however, more and more farmers began to 15 ask him how to do hydroponic farming because they found that 2 it was a better way. Hydroponic farming is a clean way of farming. Moreover, vegetables grow faster than the 3 ones in the fields, so farmers can grow them more often and they can get more money. Now, a 20 lot of farmers are using this way of farming to grow their vegetables. Q Hints hydroponic farming [hàidrǝpánik] **** area [éǝriǝ] . taste [téist] 〜な味がする (222 words)

①に何が入るか教えてください！！ 2枚目の写真が選択肢です！

13 12 Reading 12-14 本文:米/LQ:米 Read the passage and answer the questions. Mr. Kunihiko Murai is a farmer who ( 1 ) rich from hydroponic farming. When he was young, Mr. Murai thought that the traditional way of farming was not exciting at all and he was looking for a new kind of farming. He read many books, and 5 finally learned about hydroponic farming in 1966. At first, Mr. Murai made an area to put water. He didn't add any soil, because he knew that the minerals in the water could help his plants grow. So, he put one hundred tomato plants into it. They grew fast and covered a large area. They also tasted 10 delicious. From the next year, he made the area with water bigger because he wanted to try to find the best way to grow vegetables with hydroponic farming. He used a lot of water for his experiments, so some people near his farm thought he was a very bad farmer. Later, however, more and more farmers began to 15 ask him how to do hydroponic farming because they found that 2 it was a better way. Hydroponic farming is a clean way of farming. Moreover, vegetables grow faster than the 3 ones in the fields, so farmers can grow them more often and they can get more money. Now, a lot of farmers are using this way of farming to grow their vegetables. QHints hydroponic farming [hàidrǝpánik]### area [éǝriǝ], 40 taste [téist] 〜な味がする (222 words)

challengeの2番、答えのdon't have to water となっているのですが、なぜ動詞がないのですか？？ 教えてください🙇‍♀️

定的 表す。 1 CHALLENGE! 解答例 1. A war may [might] break out between the [those] two countries. 2. You don't have [need] to water the potted plant every day. [You need not water ...] 3. Could [Can, Would, Will you tell [show, teach] me how to use this computer ? 4 ミスに注意! (a) must had to 1. 「~する必要はない」 は don't have [need] to doo shipping は shipping fee 「送料」 の fee を省略した形。 2. 助動詞を2つ重ねて使うことはできない。 will の後 では be able to を使う。 3. Could you ~? 「~していただけますか」 Can you ~? より丁寧な表現。 4. 「~かもしれない」 may 5. 「~に違いない」 must 「けません。」と考える。n golden am sh 5. 過去の一度だけの出来事については was [we 4 able to do を使う。 1. must が不要。May I ~? で許可を表す。 2. will が不要。 禁止は must not で表す。 3. may が不要。「~する必要はない」は don't hav 4. cannot が不要。「〜に違いない」は must で表 5. had が不要。「~できる」は be able to。疑問 ので be 動詞の were を文頭に出す。 CHALLENGE! 1.「かもしれない」 may [might] 2.「~する必要がない」 don't have [need] to ま need not を使う。 3. 「~してもらえませんか」 Could [Can, Wo 4 ミスに注意! Will] you 〜? で依頼を表す。 「使い方」 は how t 「彼は昨日,雨の中を歩いて帰らなけ ならなかった。」 must には過去形がないので, の義務 必要を表すときは had to を用いる。 10 解答編 CHALLENGE! 次の日本語を英語に直しなさい。 Close s 1. その2国間で, 戦争が起こるかもしれない。 (break out) 2.毎日,鉢植えに水をやる必要はないですよ。 (the potted plant) 本日 SH

和文英訳についてお聞きしたいのですがtoo heavyという表現はここでは使えないのでしょうか？またby the timeを使うことも不適切なのか教えて頂きたいです。(画像2枚目が模範解答です。)

しまっていた。 【2】途中交通渋滞がひどかったので, 空港に着いたときには,飛行機はもう出て on the way 6. The the traffic jam was too we get airport the plane had taken off. too heavy, so by the time office

高校生の英語の問題です。いくつか解いてみましたが後のものがわからないので教えて欲しいです。

Complete the puzzle and make a word. 12歳 (12点) 下のそれぞれの英文が表す単語を用いて、クロスワードパズルを完成させなさい。その後、パ ズルの中の口に入るアルファベットを用いて、 次の英文の.. に入る単語を答えなさい。 When you eat something that tastes good, you say "It's [ACROSS] 2 A soft red juicy fruit with many seeds. 4 A mixture of raw vegetables, for example, lettuce, tomato and cucumber. You probably have this as a side dish at meals. ABUT Hi Hay were burned in th 5 A round fruit that has red, light green, W or yellow skin and is white inside. 7 A round thing ing with a hard shell. People mostly eat ones that come TO) atninqould qu wan dedor ibu from chickens. Fai 8 A plant that looks like a small white and onion with a very strong taste a smell. km 5ds 9 A solid food made from milk. The color is usually yellow or white. It boon can be hard or soft. !" STRAWBERRY B N SALAD N 5 EGG [DOWN] APPLE E C CHEESE G U R T aid anobioos ns ni boib 1 A long thin yellow tropical fruit with a soft white inside. type of long thin 2 A ty livi thin pasta.gnien 3 A white liquid food made from milk. 6 A round, sweet, juicy fruit with soft pink and yellow skin.odno o moo-ad-bluow-ai (3) agos ni-bod blow si anda sing

3番なんですが、どうして it having been a holiday〜じゃないんですか？

□ 3. 休日だったので, 道路が混雑していた。 (分詞構文を使って) Check List