Question

Chứng Minh Rằng: Với Vn \(\in\)|N thì: 3⁽ⁿ⁺²⁾-2⁽ⁿ⁺²⁾+3ⁿ-2ⁿ chia hết cho 10.

Answer 1

\(=3^{n+2}+3^n-2^{n+2}-2^n=3^n\left(3^2+1\right)-2^n\left(2^2+1\right)\)

\(=10.3^n-2.2^{n-1}.5=10.3^n-10.2^{n-1}=10\left(3^n-2^{n-1}\right)\)

Chia hết cho 10 

(l ike nha)