Can someone help explain the sequence of this pattern? Thanks.
1/3 , 5/6 , 4/3
You add 2/6 each time.
1/3 + 2/6= 5/6
5/6 + 2/6= 4/3
So the next 2 fractions in sequence would be 5/3 and 2?
Edit: Adding 2/6 is incorrect.
Change the fractions to have the same denominator:
1/3 , 5/6 , 4/3
= 2/6, 5/6, 8/6
The numerators are 2,5,8
Clearly, 3/6 = 1/2 is added each time.
To explain the sequence of this pattern, let's break it down step by step.
1. The first term of the sequence is 1/3.
2. The second term, 5/6, can be obtained by adding 2/3 to the first term.
3. The third term, 4/3, can be obtained by adding 1/2 to the second term.
So, the sequence seems to follow a pattern of adding fractions in a specific way.
To find out the pattern and continue the sequence, let's analyze the differences between the fractions.
1/3 -> 5/6 = (2/3 + 1/3)
5/6 -> 4/3 = (1/2 + 1/6)
By observing the differences between the fractions, we can see that:
1/3 increases by 2/3 to become 5/6.
5/6 increases by 1/2 to become 4/3.
Based on this pattern, we can continue the sequence by adding the same differences to the previous term:
4/3 + (1/2) = 7/3
So, the next term in the sequence is 7/3.
To summarize, the sequence follows a pattern of adding fractions with a specific difference. The next term in the sequence after 1/3, 5/6, and 4/3 is 7/3.