Let H_ 1 , H_ 2 , H_ 3 , , H_ 2 n+1 are in HP then _ i=1 ^ 2 (-1) ( H_ i +H_ i+1 H_ i -H_…

Mathematics · JEE Main · NTA ExamsProgression and Series

Let \(H_{1}, H_{2}, H_{3}, \ldots, H_{2 n+1}\) are in HP then \(\sum_{i=1}^{2 \pi}(-1)\left(\frac{H_{i}+H_{i+1}}{H_{i}-H_{i+1}}\right)\) is equal to : 
  1. \(2 n-1\)
  2. \(2 n+1\)
  3. \(2 n\)
  4. \(2 n+2\)

Answer

(C) 2 n

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