Question

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

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

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

Answer 3

1/1 -1/2 +1/2 -1/3 +1/3 -1/4 +1/4 -1/5 +1/5 -1/6 +1/6 -1/7

1/1- 1/7 =6/7

Answer 4

Okok

 

 

 

 

 

 

 

 

Answer 5

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