试说明:5²·3²n+1·2n-3n·6n+2能被13整除n和n+1和n+2都在上面
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/04 19:10:09
![试说明:5²·3²n+1·2n-3n·6n+2能被13整除n和n+1和n+2都在上面](/uploads/image/z/1602247-31-7.jpg?t=%E8%AF%95%E8%AF%B4%E6%98%8E%EF%BC%9A5%26%23178%3B%C2%B73%26%23178%3Bn%2B1%C2%B72n-3n%C2%B76n%2B2%E8%83%BD%E8%A2%AB13%E6%95%B4%E9%99%A4n%E5%92%8Cn%2B1%E5%92%8Cn%2B2%E9%83%BD%E5%9C%A8%E4%B8%8A%E9%9D%A2)
试说明:5²·3²n+1·2n-3n·6n+2能被13整除n和n+1和n+2都在上面
试说明:5²·3²n+1·2n-3n·6n+2能被13整除
n和n+1和n+2都在上面
试说明:5²·3²n+1·2n-3n·6n+2能被13整除n和n+1和n+2都在上面
题目的完整写法:
试说明:5^2×3^(2n+1)×2^n-3^n×6^n+2能被13整除
5^2·3^2n+1·2^n-3^n·6^n+2
=25*3*3^2n*2^n-36*3^n*6^n
=75*18^n-36*18^n
=39*18^n
=13*3*18^n
故能被13整除
若对此题有疑问,
"都在上面"是什么意思。。。