题目 Problem Prove by induction that for n∈Z+n \in \mathbb{Z}^+n∈Z+ f(n)=7n−1+82n+1f(n) = 7^{n-1} + 8^{2n+1}f(n)=7n−1+82n+1 is divisible by 575757 (6) 题目中文翻译 用数学归纳法证明,对于所有正整数 n∈Z+n \in \mathbb{Z}^+n∈Z+, f(n)=7n−1+82n+1f(n) = 7^{n-1} + 8^{2n+1}f(n)=7n−1+82n+1 能被 575757 整除。 解答