The sum _ k=1 ^ 20 k 1 2^ k is equal to
Mathematics · JEE Main · NTA Exams — Progression and Series
The sum \(\sum_{k=1}^{20} k \frac{1}{2^{k}}\) is equal to
- \(2-\frac{21}{2^{20}}\)
- \(1-\frac{11}{2^{20}}\)
- \(z-\frac{3}{z^{17}}\)
- \(z-\frac{11}{z^{19}}\)
Answer
(A) 2- 21 2^ 20
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