Question

Tính

(7^2003+7^2002) chia het cho 7 ^ 2001

 

Answer 1

7²⁰⁰³ chia het cho 7²⁰⁰¹

7²⁰⁰² chia het cho 7²⁰⁰¹

=> 7²⁰⁰³ + 7²⁰⁰²  chia het cho 7

=> 

Answer 2

Ta có \(7^{2003}+7^{2002}\)

\(=7^{2001}.\left(7^2+7\right)\)

Ta thấy \(7^{2001}⋮7^{2001}\Rightarrow7^{2001}.\left(7^2+7\right)\)

Do đó \(7^{2003}+7^{2002}⋮7^{2001}\)

Vậy....

Answer 3

 Tính : 

 7^2003 + 7^2002 chia hết cho 7^2001

7^2003 + 7^2002

= 7^2001 . 7^2 + 7^2001 . 7^1 

= 7^2001 . 49 + 7^2001 . 7 

= 7^2001 . ( 49 + 7 )

= 7^2001 . 56 chia hết cho 7^2001

Vậy 7^2003 + 7^2002 chia hết cho 7^2001 .