97年 東京大 文 1 投稿日時: 2022年10月7日 投稿者: t-kame 上の問題文をクリックしてみて下さい.リンク:数学的帰納法a,bついての対称式なので,基本対称式a+b,abで式を処理しましょう.
(1) a2+b2-16,a3+b3=44 https://www.wolframalpha.com/input?i=a2%2Bb2-16%2Ca3%2Bb3%3D44&lang=ja a2+b2=16,a3+b3=44,a+b https://www.wolframalpha.com/input?i=a2%2Bb2%3D16%2Ca3%2Bb3%3D44%2Ca%2Bb (2) Table[ (1-sqrt(7))^n+(1+sqrt(7))^n mod 4,{n,2,10}] https://www.wolframalpha.com/input?i=Table%5B+%281-sqrt%287%29%29%5En%2B%281%2Bsqrt%287%29%29%5En+mod+4%2C%7Bn%2C2%2C10%7D%5D&lang=ja 別の形{0, 0, 0, 0, 0, 0, 0, 0, 0}
(1)
a2+b2-16,a3+b3=44
https://www.wolframalpha.com/input?i=a2%2Bb2-16%2Ca3%2Bb3%3D44&lang=ja
a2+b2=16,a3+b3=44,a+b
https://www.wolframalpha.com/input?i=a2%2Bb2%3D16%2Ca3%2Bb3%3D44%2Ca%2Bb
(2)
Table[ (1-sqrt(7))^n+(1+sqrt(7))^n mod 4,{n,2,10}]
https://www.wolframalpha.com/input?i=Table%5B+%281-sqrt%287%29%29%5En%2B%281%2Bsqrt%287%29%29%5En+mod+4%2C%7Bn%2C2%2C10%7D%5D&lang=ja
別の形{0, 0, 0, 0, 0, 0, 0, 0, 0}