Question

1/1x2 + 1/2x3 +1/3x4 +...+ 1/24x25

Answer 1

1/1x2 + 1/2x3 + 1/3x4 + ... + 1/24x25

= 1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + ... + 1/24 - 1/125

= 1 - 1/25

= 24/25

Answer 2

1/1x2 + 1/2x3 + 1/ 3x4 +.....+ 1/24x25
= ( 1- 1/2) + (1/2-1/3) + (1/3 - 1/4)+........+ (1/24-1/25)
= 1-1/2+1/2-1/3+1/3-1/4+.........+1/24-1/25
= 1- 1/25 = 24/25

Answer 3

                                 \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{24.25}\)

                                  \(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{24}-\frac{1}{25}\)

                                    \(=1-\frac{1}{25}=\frac{24}{25}\)

                             Ủng hộ mk nha ^_^

Answer 4

24/25 nhé