Question

2000/1.2 + 2000/2.3 + 2000/3.4 + ... + 2000/2002.2003

Answer 1

\(\frac{2000}{1.2}+...+\frac{2000}{2002.2003}\)
\(=2000.\left(\frac{1}{1.2}+....+\frac{1}{2002.2003}\right)\)
\(=2000.\left(\frac{1}{1}-\frac{1}{2}+...+\frac{1}{2002}-\frac{1}{2003}\right) \)
\(=2000.\left(\frac{1}{1}-\frac{1}{2003}\right)=2000.\frac{2002}{2003}\)

Answer 2

đặt A=200/1.2+200/2.3+200/3.4+...+200/2002.2003

A:2000 = 1-1/2+1/2-1/3+...+1/2002-1/2003

A:2000=1-1/2003

A:2000=2002/2003

A=....

k nhe