If f (n + 1) = 2 f( n )+1 2 , n = 1, 2, ... and f (1) = 2, then f (101) equals

Mathematics · JEE Advanced · NTA ExamsSets, Relations and Functions

If f (n + 1) \(=\frac{2 f(\mathrm{n})+1}{2},\) n = 1, 2, ... and f (1) = 2, then
f (101) equals
  1. 52
  2. 49
  3. 48
  4. 51

Answer

(A) 52

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