Question

[Nguyễn Thị Hoàng Châu]

Tính tổng giùm mình nhé :1/1.2 +1/2.3 +1/3.4 +1/4.5 +1/5.6 +1/6.7

Answer 1

[do thi kieu oanh]

Ta có : \(\frac{1}{1.2}\)+  \(\frac{1}{2.3}\)+\(\frac{1}{3.4}\)+\(\frac{1}{4.5}\)+\(\frac{1}{5.6}\)+\(\frac{1}{6.7}\)

= 1  - \(\frac{1}{2}\)+\(\frac{1}{2}\)-\(\frac{1}{3}\)+\(\frac{1}{3}\)-\(\frac{1}{4}\)+\(\frac{1}{4}\)-\(\frac{1}{5}\)+\(\frac{1}{5}\)-\(\frac{1}{6}\)+\(\frac{1}{6}\)-\(\frac{1}{7}\)

= 1 - \(\frac{1}{7}\)=  \(\frac{6}{7}\)

Answer 2

[Lê Thanh Minh]

=1-1/2+1/2-1/3+1/3-1/4+...+1/6-1/7=1-1/7=6/7