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1+32+54+78+916+1132+… \large 1 + \frac{3}{2} + \frac{5}{4} + \frac{7}{8} + \frac{9}{16} + \frac{11}{32} + \ldots 1+23+45+87+169+3211+…
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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