Question [!problem] Prove by induction that for all positive integers nnn, f(n)=34n−2+23nf(n) = 3^{4n-2} + 2^{3n}f(n)=34n−2+23n is divisible by 17. 中文翻译 用数学归纳法证明，对于所有正整数 nnn f(n)=34n−2+23nf(n) = 3^{4n-2} + 2^{3n}f(n)=34n−2+23n 能被 17 整除。
