SOLUTION: I need the next 3 terms of the sequence for 1/2, 5/6, 1 1/6, 1 1/2,...

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Question 938651: I need the next 3 terms of the sequence for 1/2, 5/6, 1 1/6, 1 1/2,...
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
When you change to a common denominator, the pattern is easier to recognize.
1%2F2=3%2F6
1%261%2F6=7%2F6
1%261%2F2=6%2F6%2B3%2F6=9%2F6
So then the sequence is,
3%2F6,5%2F6,7%2F6,9%2F6
As you see, it's a progression of odd integers over 6.
So the next three would be 11%2F6,13%2F6,15%2F6
or 11%2F6=1%265%2F6
13%2F6=2%261%2F6
15%2F6=2%261%2F2