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Mathematics Senior High

波線引いているところで、bnをなぜan-1とおくのかわかりません!もう少し詳しく教えてほしいです🙇🏻‍♀️

例題 297 漸化式 思考プロセス d1 = 5,/an+1 般項を求めよ。 例題 296 既知の問題に帰着 3a-2 例題296 で学習した, (ア) 等差型, (イ) 等比型, (ウ) 階差型 のいずれかに変形することを考える。 an+1=3an-2 = 3a - 2 an+1-α=3(an-α) a an-α = bn とおくと) \an+1-α=bn+1 解 漸化式 αn+1=34-2は, α = 3α-2 を満たす解 α = 1 a を用いて変形すると Anel-1304-3 ・・・) で定められた数列{an}の一 bn+1=36m (イ) の形 Action» 漸化式 ant) = p@a+αは、 特性方程式xp+g の解を利用せよ 12, = an+1=1=3(an-1) ここでbn=an-1 とおくと よって, 数列{bn} は初項b1=α1-1 = 4,公比3の等比数 1, 2 列であるから bn = 4.3"-1 an=bn+1=4・3"-1 +1 したがって 〔別解) ・② ... ant! bn+1=36 3au 3091 an+1=3an-2① において、辛出会 nをn+1に置き換えると an+2 3an+12 ①,②の辺々を引くと an+2an+1 = 3 (an+1-an) ... 3 数列{an}の階差数列を {bn} とすると,③ bn+1 = 3bn よって, 数列{}は初項8 の (ア) an+1=an+d (イ) an+1=ran (ウ) an+1=an+f(n) ^èmo. Ibn = An − 1 kh an = bn +1 8+n8=E (1-2) an a=3α-2 をもとの漸化 式の 特性方程式 とよぶ。 p.523 Play Back 32 参照 特性方程式を用いて, 化式を変形したときは 展開してもとに戻ること を確認するとよい。 S 3+1 = (8-AS) 階差数列を利用した {an}の階差数列{bmi すると bn=an+1 と間道 bn=an-an-1 ないように注意する。 13 £

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English Senior High

これを訳していただけませんか😭

dovecameron to the most beautiful man I have ever known, and my best friend: yesterday marks 5 years since you've left us, and I still feel you all around me every day, all the time. I feel as though I understand you more and more as I begin to understand myself in these formative years, and although it can't ever replace the years I've lost with you, I know I am never without you because you are in me :) I am so happy every day, dad, and so is Claire. Both of your girls are following their bliss and living their great adventure. Taking no prisoners, loving all they can and eating ice cream bars and overly salted popcorn in bed. I wish you could meet all of the amazing people I've brought into my life and know how safe and loved I am. I know that wherever you are you know all of this, and you laugh at me when I speak as though you're gone. You taught me how to love, and you are love to me. The gift that you have given to me and Claire, the intense pain and loss, has brought a clarity, a deep human connection, an empathy and a color to our lives in a way that nothing else could. I can never go back to who I was before, and I would never want to. You still teach me lessons every day, and make me laugh as the lessons you instilled at a young age begin to settle into my bones and make more sense. You set me up for the best life imaginable, and I plan to make your proud every single day and never waste it. I love you eternally, and can't wait to see you again, maybe in our next life as we find each other over and over. Forever your best friend, and your little girl.

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