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Algebra Level 3

$\large 1 + \frac{3}{2} + \frac{5}{4} + \frac{7}{8} + \frac{9}{16} + \frac{11}{32} + \ldots$

Evaluate the series above.

Note that the numerators are consecutive odd numbers starting at 1, and the denominators are consecutive powers of 2 starting at 1.

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