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 =