解説お願いします

Just to 3 as to so の to 閉10.今日の授業は、地球温暖化の様々な影響についてです。 30 Today's class is about ( ) effects of global warming. 0 variety 2 variably 3 variation の various

マーカー引いてる部分の式変形の仕方がわかりません。解説お願いします🙇‍♀️

したがって、(右辺)- (左辺)>0 となり, n=k+1 のをは2以上の自然数 1,0より, 2以上のすべての自然数nについて, ①は成り Check ||題 317 数学的帰納法2)· 不等式の証明 え方 2以上の自然数について成り立つことを示すので, 次のことを証明すればよい。 nが2以上の自然数のとき、1+ 1 1 22+ 32 1 n? 1 2--が成り立 2 つことを数学的帰納法で証明せよ。 n 2以上の自然数について成り立つことを示すので, 次のことを証明すればよい (1) n=2 のとき,不等式が成り立つことを示す。 m カ=k(k22) のとき, 不等式が成り立つと仮定し,これを用いて, n=k+1 のと きも成り立つことを示す。 立 ル 1 1+ 223 1 1 計<2-- 0 とおく。 1 2? n (1) n=2 のとき, (左辺)=1+=(右辺)3D2-= 188=-18 1_5 22 -30 2 より,(左辺)<(右辺)となり, n=2 のとき①は成り立つ。 n=k(k22) のとき, ①が成り立つと仮定すると, 1+ kは2以上の自然数 1 1 1 R? 1 k ×T- 22 3° sn=k+1 のとき, 1 1+ 1 1 1 22'32 <2-1 + 何を示すかを明記す k? が成り立つことを示せばよい。 k+1 A+1 のときの )になっていま。 る。 (右辺)-(左辺) =2--1 うで; @を使ってす) 形し()の(価 (右辺)-(左辺)>0 1 1+ I+y 22 1 1 1 を示せばよい。 (*)の仮定を利用す るが、不等号の向き に注意する。 <▲ならば、 32 てな+1F) >21 k+1 {2 になれば、n= elk+1)0 ときも①は成り立つ。 301+=n が示せる。 立つ、 0us だから,k(k+1)>0 1 よって、+DF>0 のとき成り立つこ +)で ()の)に うに変形する

なぜこのような数列になるかわかりません。解説お願いします🙇‍♀️

(2)2a=2 例題 320 教列{a}があって a=1, az=2 であり,連続する3項a. l0でない a, 6, cがこの順に等比数列 → 6=ac はnが奇数のとき等比数列をなし, nが偶数のとき等差数列をなす。 一般項を推測し数学的帰納法で証明2, (1) anを求めよ. (2) aから a2n までの総和を求めよ。 考え方(1) まずは具体的に書き出して一般項 an を推測し,それが正しいことを数学機 で証明する。具体的に書き出すと,小類さ8S J= 3 3 ×2 ×2 2 学課 ふをさ 限道 2 0, 2, 4, 6, 9, 12, の他数で 1 +2 +2 +3 +3 a, b, cがこの順に等差数列 → 26=atc 0でない a, b, cがこの順に等比数列 証明の際, 2n n (2)2 an=D2 a2k-1+Ma2k と分けて考える。 n k=1 k=1 k=1

訳の添削お願いします。後半特に分かりづらいです。

3,590 35 5 As mentioned/ the superiority of the decimal system over the Roman one lies in the fact that it is based on the reasonable principle, 'according to which the position of a digit) indicates its value in terms of a power of ten. The 0 digit in this system makes it possible to 1:CC

極方程式で質問です。 緑のところをsinとcosにするときの 区別を教えてください。 大体cosしかみないのでさが、cosのみしか示さないのですか？ また2番の問題は図はあってますか？ ここからの計算の仕方を教えてください。

4 次の図形を表す極方程式を求めよ。 {3. ) (1) 中心の極座標が A(3. で,半径が3の円 (2) 極座標が(4, 0) である点Aを通り,始線となす角が今である直線 π 3

英語です 写真の英作文の添削をお願いしたいです よろしくお願いします

I Read the statement below and write a paragraph giving at least 'two reasons why you agree or disagree with it. Write your answer in English in the space provided on your written answer sheet. (15 点) “Artificial intelligence will eventually surpass human intelligence.}. lagree withit.1 have fuo reasous.、 First, LArt ficial luteligen te can obsev ve tar hoke intarnafod than huhan hin be Caasider abort sabe thing coy solve 5oke ploblens, a lot of lu fr nafion scch as defail dlesent situafioル or Pevious cafes which is sikilar to Dur Dloblens help us S6J Aricial utelinece Various Yafarnation to Came up witrh good tea or best selecTiOn For erample , Art fical iate li gente wou bubas ta plying slougis alich is dhpnose and needs Ligh leul e atell:geu ce. Seened. Artifi cal Iutelligence Can analze a gleat hunber of data instantly aud acauate ly. agaias7 t [fradit.ohal table gok 00Art ficial Iutelligeat caa Come upLith shiりe ond eafamble 5olatcんs. For 1 hink Avtfcial these reasons, 1thimk Artticial atelligence willk hote iatelligent than bahan in th eud. i

⑹赤本の模範解答 Jillian and Martin have decided to get married in June. They are both looking forward to their wedding day. だったのですが、2文目 例えば The... 続きを読む

英語 (80 分) 次の英文を読んで, 下記の英語による設問に答えなさい。 (*印の付いた語に は注があります。) I Martin looked quickly up the street and down to make sure that nobody was watching him, then he turned round, pushed open the door of the jeweller's shop and walked smartly up to the man who was standing behind the counter. He had been passing this shop for many months, because it was near Jillian's *flat. But he had only been looking in the window for a few days. Once he and Jillian had started to talk about getting married, he knew he ought to buy her an engagement ring. So he had been window-shopping in all the jewellers' shops he could find. But since he had seen one particular ring in the shop nearest Jillian's flat, he had not been thinking seriously about any others. This,/ Martin decided,/ was the ring for Jillian. And so he had gone into the shop to see it more( a ). “I've been looking at a lot of rings lately," he told the assistant, “but I'm sure this is the one for my young lady. Yes, she ought to like it," he said, looking at the price ticket. The man behind the counter smiled. “T'm sure she will, sir. But if the size isn't right, or if she wants to change it, please bring it back." At half past ten that night Martin found himself walking in the rain towards Jillian's flat. At his side were Jillian and Philippa, talking noisily. But Martin was (b ). He had turned the collar of his raincoat up and had pushed his hands deep into his pockets. In his right hand was a little square

添削お願いします。

Today Earth iS faced with terribl ploblem, Q must tryY to profect environm hardly so that 1ife on Earth survive,

1番と2番の添削お願いします。

(Those who doubt the power of human beings to change Earth's climate should look to the Arctic, and tremble. There is no need to examine records of temperatureS and the ゆう( amount of atmospheric carbon dioxide (CO.). .. The the reduction process is cleárly visible, 大気の of ice covering the Arctic Ocean. On current trends, the Arctic Ocean will be largely ice-free 5 in summer by 2040. Furthermore, the Arctic is not merely an indicator of climate change, but an active part of it. bs oH, The current period of global warming/is caused by certain gases in the atmosphere, fre 2 such as carbon dioxide. More carbon dioxide)equals more warming. Except it is not that 1-:し simple. A number of feedback loops*/make things more complicated. Some slow down the warming process;others-speed it upl|Two in the Arctic)may speed it up quite a lot. 3 One concerns the fact that seawater is much darker than ice. It absorbs heat rather than reflectingit back into space. That melts more ice, which leaves more seawater exposed, which melts more ice. And so on. This helps explain why the Arctic is warming faster than the rest of the planet.

訳を教えてください。asとdoneとtheyがわからないです。

A warming Arctic ¢ould cause serious climate change elsewhere. The world's winds are 5 on場所 driven by the temperature difference between the poles and the tropics. If the Arctic heats 20 faster than the tropics, this difference will decrease and wind speeds will slow as they 1、 have done, in the northern hemisphere, by between 5 ánd 15% in the past 30 years. A weaker northern jet stream* will mean snowstorms and heatwaves in( ) places at ( times.