1+1/2+1/3+1/4+1/5=

I believe the answer to this would be 5/6. 1/6+1/6=1/3, 1/3+1/6=1/2, 1/2+1/6=2/3, 2/3+1/6=5/6 when all fractions are reduced.

If you find the lease common multiple for the four fractions you know, you get:

1st term of sequence is 1/6 = **1/6**

2nd term of the sequence =1/3=** 2/6**

3rd term=1/2=**3/6**

4th term=2/3=**4/6**

Obviously the numerator is increasing by one. So the value of each next term increase by 1/6

The sequence is in **arithmetic progression** (or AP) with **common difference of the sequence is 1/6 **,

the 5th term = 5/6

6th term = 6/6=1

1,1/2,1/3,1/4,1/5,1/6

1/2 - 1/3 =