\(A=2001+2001^2+...+2001^9\)
\(\Rightarrow2001A=2001^2+2001^3+...+2001^{10}\)
\(\Rightarrow2001A-A=\left(2001^2+2001^3+...+2001^{10}\right)-\left(2001+2001^2+...+2001^9\right)\)\(\Rightarrow2000A=2001^{10}-1\)
\(\Rightarrow A=\frac{2001^{10}-1}{2000}\)
\(\Rightarrow K=2000.\frac{2001^{10}-1}{2000}+1=2001^{10}-1+1=2001^{10}\)
Vậy K=200110
Bài 6. Tính
a) A=1+3+32+33+...+32000
b) B = 250- 249- 248 -...- 22- 2
c) C = 2000.(20019+20018+...+2001)+1
d) D = 1-2+22-23+...+22020
x +3*1/2=(-2000+-2000+-2000)*(-2001+-2001+-2001)*.......*(2000+2000+2000)
TÌM X ?
so sánh 1999*2000/1999*2000+1 và 2000*2001/2000*2001+1
so sanh phân số: 1999*2000/1999*2000+1 và 2000*2001/2000*2001+1
A=2000/2001+2001/2000,B=2000/2001+2001/2002
So sánh : \(\frac{1999×2000}{1999×2000+1}\)và \(\frac{2000×2001}{2000×2001+1}\)
So sánh A và B
A= 20002001+1/20002002+1
B=20002000+1/20002001+1
So Sánh: A= \(\frac{2000^{2001}+1}{2000^{2002}+1}\) và B= \(\frac{2000^{2000}+1}{2000^{2001}+1}\)
A=2000/2001 + 2001/2000 ; B=2000/2001+2001/2002
khong quy dong. So sanh A va B
A=2000/2001+2001/2002
B=2000+2001/2001+2002
