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The sum to 2n terms of the series

\(\frac 34 + \frac 74 + \frac {15}{16} + \frac{31}{16} + \frac{63}{64}+\frac{127}{64} +....\) is 

(a) \(3n - \frac 23(1 - \frac 1{4^n})\)

(b) \(3n - \frac {10}{21}(1 - \frac 1{4^n})\)

(c) \(3n - \frac {13}{21}\frac 1{4^n}\)

(d) None of these

1 Answer

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by (53.5k points)
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Best answer

Correct option is (a) \(3n - \frac 23(1 - \frac 1{4^n})\) 

Given expression

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