この問題の（5）の解き方が分からないので教えて欲しいです！

Exercise Pi 392" 右の図のような道のある町がある。次の 場合の最短経路は何通りあるか。 ) PからQまで行く。 図PからRを通ってQまで行く。 PからSを通らないでQまで行く。 A PからRとSを通ってQまで行く。 (5) PからRもSも通らないでQまで行く。 S R P

青チャートの数列の範囲です。 青い線を引いてるところなのですが、なぜすべてのnについて成り立っていないとダメなのでしょうか？ なんとなくはわかるのですが、明確な意味がわかりません。教えてください。

厚本例題125 連立漸化式 (1) 教列(an), {bn} をa=bi=1, an+1=Qn+4bn, bn+1=an+bnで定めるとき 575 O0 txbn+1=y(an+xb») を満たす x, yの組を2組求めよ。 数列 {an), {b»} の一般項を求めよ。 計>本間は,2つの数列{an}, {bn} についての漸化式が与えられている。 このようなタイプで D an+1 にお 【類埼玉大) フみ、 こ生 は,次の2つの解法がある。 「解法1] 等比数列 {a,+kb,} を利用する。 【解法2](an を消去 して, 数列{bn}の隣接3項間の漸化式に帰着させる。 (1)は,数列 {an +xb»} が等比数列となるための条件を求めさせている。よって, [解法1] 公あ 3章 16 の方針で解く。 CHART 連立漸新化式 an+1+.cbn+1=y(an+xb,)の形を導き出す 解答 a+a+xbn+1=Qn+4bn+x(an+bn) =(1+x)an+(4+x)bm よって, ag+1+xbn+1=y(an+xb») とすると 7(1+x)an+(4+x)bn=yan+xybn これがすべてのnについて成り立つための条件は 1+x=y, 4+x=xy x=4 参考 [解法2] [1つの数列 に関する漸化式に帰着させ る]の方針による解答 an+1=an+4bn………… 0 bn+1=an+bn 2から an=bn+1-bm, an+1=bm+2-bn+1 これらをOに代入して ゆえに よって x=±2 bn+2-26n+1-3bm=0 ゆえに これは隣接3項間の漸化式。 特性方程式x-2.x-3=0を 解くと x=-1, 3 よって、p.572 基本例題 123 (1)と同じ方針で、 まず一般項 2 (1)から Yet+262ま=3(a+26»), a.+2b、=3; -26n+ニー(a,-26,),、a.-2b、=-1 よって,数列 {an+26,} は初項 3, 公比3の等比数列; 数列 {an-26,}は初項 -1, 公比 -1の等比数列。 ゆえに bnを求める。 の, an+26,=3·37-1_3" an-26,=ー(-1)"-1= (11)" のt2-2から 40, 2を an, b。の連立方 程式とみて解く。 a,ミ 2 アリートから bn= 4 このタイプの漸化式は,まず2つの新化式の和·差をとってみると,うまくいく場 もある(b.589 EXERCISES 87 (1) 参照)。 -6h bat=an+7bn で定めるとき |種々の漸化式

下から2行目のwork out〜の部分は、車の中で自転車に乗って運動するという事ですか？そんな事できるんですか？

Cars will allow people offices. Some, perhaps many, people will be more open to a longer daily commute, despite the nicer city centers, leading to even more urban sprawl than there is now. He also says that cars will become an extension of the home. “I could sleep in my driverless car or work out on an exercise bike in the back of the car on my way to work," he said. “Time spent in cars will essentially be very different than it is today.”

わからないので 教えてくださると嬉しいです😊

Exercise 5 Punctuation .1,/:/?/!/ -/' などの句読点を加えなさい。 39. My boss said You can take this afternoon off to my surprise Feeling happy I decided to do some shopping eat ice-cream and get a haircut before going home 40. It was not easy to choose the flavor of ice-cream blueberry chocolate vanilla strawberry mango green tea 41. At the hairdressers Irecognized Jesss bicycle Jess-my good friend happened to be off work that day Naturallyshe was very pleased to see me although she was complaining to the stylist when l entered 42. Isaid she looked gorgeous and vibrant I meant it but Jess was not convinced she thought I was being kind How suspicious she could be

全くわからないので 教えてください 答えは1つではないと思います また、どうやって考えたのか 教えてくださると嬉しいです よろしくお願いします！

Exercise 3 空所に入れるのにふさわしい、進行形にならない動詞(状態動詞)を記しなさい。 34. Mr. Oliver ( )not only this building but also that parking lot. 35. I didn't ( ) the instructions at all. 36. "This flower( )a rose, doesn't it?" "A rose? You don't know anything about flowers at all!" 37. 1( )healthy food tends to cost too much. 38。 Let's do whatever ( )best to us.

合ってますか？2枚目の写真は単語の上に数字書いてます。あと空いてるところ教えてください！

2 ( )内から適切な語(旬)を選び, ○で囲みましょう。 (1) 私はトムが川沿いを走っているのを見ました。 I saw Tom (to run / runnjhg) along the river. まい (2) 麻衣は赤ちゃんが泣いているのを聞きました。 Mai heard the baby ( cnying / cried ). (3) ボブはクラスメートがスピーチをしているのを見ました。 Bob watched his classmate (making/ made ) a speech. 3 日本語と同じ意味になるように, ( )内の語を並べかえまし

回答がないので教えていただきたいです

ovou would like to tell someone the contents of the following sentences. Change them as in the example below. [→ L.20] Ex) Ian said to me, "I will do it.” → Ian told me that he would do it. (1) Mary said to me, "I don't have much time to go to concerts." (2) Ken said to me, "I hope many people will come to my birthday party." (3) Ryoko said to me, “Our club performed a play in English at the festival." (4) The clerk said to me, "Do you have an appointment?" (5) Bill said to me, "Why didn't you take part in the contest?” (6) I said to Eri, “Where did you meet Mr. and Mrs. Tanaka?" (7) Our teacher said to us, “Don't forget to weara tie." (8) Jack said to me, “Please lend me your umbrella for a while."

6番の問題の答えをおしえていただきたいです

4 You would like to tell someone the contents of the following sentences. Change them as in the example below. [→ L.20] Ex.) Ian said to me, "I will do it.” → Ian told me that he would do it. (1) Mary said to me, "I don't have much time to go to concerts." (2) Ken said to me, "I hope many people will come to my birthday party." (3) Ryoko said to me, "Our club performed a play in English at the festival." (4) The clerk said to me, "Do you have an appointment?" (5) Bill said to me, “Why didn't you take part in the contest?" (6) I said to Eri, “Where did you meet Mr. and Mrs. Tanaka?" (7) Our teacher said to us, “Don't forget to wear a tie." (8) Jack said to me, “Please lend me your umbrella for a while.”

2番答え教えて欲しいです！ お願いします🙇‍♀️🙇‍♀️🙇‍♀️

Exercises 非制限用法の which / who を使って書き換えなさい。 nる。 1.I let my dog play with an old cloth, but it turned out to belmy mother's scarf. I let my dog play__with an old doth which rother 's scarf. iTorned out to be my 2. She met a young British man, and he later became her husband.H

大問1 7はなぜ、intoでなく inなのてすか？

Exercises 1( )内から適切な前置詞を選びなさい。総合 ロ1 She was born ( at / in) Tokyo ( at /in) 2000. ロ2. Let's meet ( at / on ) the station ( at / in ) seven o’clock. 3. Igo to church ( in / on ) Sunday morning. 4. The game will be held ( in/ on ) the stadium ( in/ on ) June 15. 5. The exam begins ( at / from ) nine and ends ( at / to ) eleven. 6. What are you looking ( to / for )? Your glasses are ( in / on ) the shelf. 7. The puppy was ( in / into ) the box and jumped ( into / out of ) it. 8. He is trying to swim ( across / over ) the channel and is halfway done. 9. The subway runs ( over / under ) this street. 10. The plane is flying ( above / below ) the Pacific Ocean. 2[ ]内の日本語に合うように, 下線部に適切な語句を補いなさい。 総合 口 1. The ball flew the fence. [塀の上を] 口 2. A lot of planes land the runway. [滑走路に] 3. I passed the traffic jam on my bike. [渋滞を通り抜けて] 4. The whale dived sight. [見えない所へ] 5. New houses are being built the railway line. [沿線に] 6. Unfortunately, my score was average. [平均以下] 7. Japan hasa lot of rain early summer. [初夏に] 8. Technology will make huge advances years. [10年後に] 9. He has been jogging hour. [1時間] 10. The shop is open Saturday. [月曜から土曜まで] 3 英作力を磨く 次の日本語を英語に直しなさい。総合 1. 母は夕方, 犬の散歩に行く。 2. 正午に東京に向けて大阪を出発します。 3. 彼の家族はその災害を生き抜いた。