Question

5²⁰⁰³+5²⁰⁰²+5^{2001 chia hết cho 31}

Answer 1

5²⁰⁰³ + 5²⁰⁰² + 5²⁰⁰¹ chia hết cho 31

= 5²⁰⁰³ + 5 ²⁰⁰² + 5²⁰⁰¹

⁼ 5²⁰⁰¹. \(5^2+5^{2001}.5+5^{2001}.1\)

= 5²⁰⁰¹. (\(5^2+5+1\))

= 5²⁰⁰¹. 31\(⋮\)31

= Vậy 5 ²⁰⁰³ + 5²⁰⁰² + 5²⁰⁰¹ chia hết cho 31