5^2·3^2n+1·2^n-3^n·6^n+2能被13整除.

问题描述:

5^2·3^2n+1·2^n-3^n·6^n+2能被13整除.

算术题目写的清楚些.我晕!!!!!!是5的2次方或5的平方。直接写25不就得了 ?弄的这么神秘?!等5分钟,我帮你证明。=25 x 3^2n+1x2^n- 3^n x 2^n+2 x 3^n+2=25 x 3^2n x 3x2^n-3^2n x9 x 2^n x 4=3^2n x 2^n x (25x3-4x9)=3^2n x 2^n x 39