1.

The sum \(\mathop \sum \limits_{k = 1}^{20} k\frac{1}{{{2^k}}}\)is equal to:

A. \(2 - \frac{3}{{{2^{17}}}}\)
B. \(1 - \frac{{11}}{{{2^{20}}}}\)
C. \(2 - \frac{{11}}{{{2^{19}}}}\)
D. \(2 - \frac{{21}}{{{2^{20}}}}\)
Answer» D. \(2 - \frac{{21}}{{{2^{20}}}}\)


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