2018年 一橋大学前期入試 数学 第1問

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2018年 一橋大学前期入試 数学 • 第1問 • 　正の整数nの各位の数の和をS(n)で表す。たとえば • 　S(3) = 3、S(10) = 1 + 0 = 1、S(516) = 5 + 1 + 6 = 12 • である。 • (1) n ≧ 10000 のとき、不等式 n ＞ 30S(n) + 2018 を示せ。 • (2) n = 30S(n) + 2018 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