A=3+3mu2+3mu3+..+3mu100
A=3+3mu2+3mu3+..+3mu100
ta có A=3+3mu2+3mu3+..+3mu100
A=3+32+33+...+3100
3A=32+33+...+3100+3101
3A-A=32+33+...+3100+3101-(3+3mu2+3mu3+..+3mu100)
2A=3101-3
2A+3=3n
suy ra:3101-3+3=3n
suy ra:3101=3n
suy ra: n =3100
A=3+3mu2+3mu3+..+3mu100 giúp mk mai mk kiểm tra r
A=3+3mu2+3mu3 +....3mu9+3mu 10. chứng minh A chia het cho 4
Tính giá trị biểu thức 1/3+1/3mu2+1/3mu3+....+1/3mu2017
\(S=\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^{2017}}\)
\(3S=1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^{2016}}\)
\(3S-S=\left(1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^{2016}}\right)-\left(\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^{2017}}\right)\)
\(2S=1-\frac{1}{3^{2017}}\)
\(\Rightarrow S=\frac{1-\frac{1}{3^{2017}}}{2}\)
cho a =4+3mu2 + 3mu3 +.....+3mu59.chứng minh rằng a chia hết cho 10
B=3+3mu2+3mu3+.....3mu 2000
la boi cua so tu nhien nao
chung minh rang tong 3+3mu2+3mu3+3mu4+3mu5+3mu6+3mu7+3mu8+3mu9 chia het cho13
Rút gọn đc
3^10 - 3 = 3(3^9 - 1) = 3.(19683-1) = 3.1514.13 chia hết cho 13
Ta có: \(3+3^2+3^3+3^4+3^5+3^6+3^7+3^8+3^9\)
\(=\left(3+3^2+3^3\right)+\left(3^4+3^5+3^6\right)+\left(3^7+3^8+3^9\right)\)
\(=3\left(1+3+9\right)+3^4\left(1+3+9\right)+3^7\left(1+3+9\right)\)
\(=\left(3+3^4+3^7\right).13\)chia hết cho 13
3mu0+3mu1+3mu2+3mu3+...+3mu2016