SOLUTION: Which number comes next in this series: 1/2, 1/4, 1/3, 1/6, 1/5, ?

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Question 586294: Which number comes next in this series: 1/2, 1/4, 1/3, 1/6, 1/5, ?
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
1/2, 1/4, 1/3, 1/6, 1/5, ?

Look at the sequence of denominators:

2, 4, 3, 6, 5, ?

The 4 is twice 2.

The 3 is is 1 less than the 4

The 6 is twice 3.

The 5 is 1 less than the 6.




Do you see the pattern for the denominators?

The nest denominator will be twice 5, or 10.

Therefore the next term is 1/10,

[The one after that is 1/9, and the one after that is 1/18, etc.]

Edwin
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