Chung minh :
\(A=3+3^2+3^3+3^4+...+3^{25}\)Khong chia het cho 39
1) Cac ban oi , may mk ko viet dc tieng Viet , cac ban thong cam !!
2) Mk thay bai nay sao sao ay , khi nhom 3 chu so dau tien thi van chia het cho 39 ma ! Ai co cach giai naof hay ko ?? Giup mk voi ak !!
HELP ME , PLEASE !!!!! ^^
Ta có : \(A=3+3^2+3^3+3^4+...+3^{25}\)
\(=3+\left(3^2+3^3+3^4\right)+...+\left(3^{23}+3^{24}+3^{25}\right)\)
\(=3+3\left(3+3^2+3^3\right)+...+3^{22}\left(3+3^2+3^3\right)\)
\(=3+3.39+...+3^{22}.39\)
\(=3+39\left(3+...+3^{22}\right)\)
\(\Rightarrow A\)chia cho 39 dư 3
\(\Rightarrow A\)không chia hết cho 39 ( đpcm )
Cảm ơn bạn rất rất nhiều !! Mk kcho bạn rồi đó