The sum _ k=1 ^ 20 k 1 2^ k is equal to

Mathematics · JEE Main · NTA ExamsProgression and Series

The sum \(\sum_{k=1}^{20} k \frac{1}{2^{k}}\) is equal to
  1. \(2-\frac{21}{2^{20}}\)
  2. \(1-\frac{11}{2^{20}}\)
  3. \(z-\frac{3}{z^{17}}\)
  4. \(z-\frac{11}{z^{19}}\)

Answer

(A) 2- 21 2^ 20

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

More Progression and Series questions · Browse all practice questions