Sum of Weird Fractions

Algebra Level 3

14+38+516+732+ \large \frac{1}{4}+\frac{3}{8}+\frac{5}{16}+\frac{7}{32}+\dots

If the value of the above series can be expressed as ab\frac{a}{b} where aa and bb are coprime positive integers. Find aba-b.

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