Question

求證：5²×3²ⁿ⁺¹×2ⁿ-3ⁿ×6ⁿ⁺²能被13整除.

 

Answer 1

答案：
解析：

52×32n+1×2n-3n×6n+2 =25´32n+1×2n-3n×2n+2×3n+2 =25´32n+1×2n-12´32n+1×2n =13´32n+1×2n.