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

$\frac{1}{3},\frac{2}{4},\frac{3}{5},...$

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

$\frac{3+1}{5+1}=\frac{4}{6}$

The next number is 4/6.