Question

Use inductive reasoning to find the next number in the pattern: 1 / 3 , 2 / 4, 3 / 5, ____.

Answer 1

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SOLUTION

`(1)/(3),(2)/(4),(3)/(5),...`

The sequence progresses by the addition of 1 to both numberator and denominator.

`(3+1)/(5+1)=(4)/(6)`

The next number is 4/6.