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JEE Main20245 Apr 2024Evening ShiftMathematicsSequences and SeriesActual

For x 0 , the least value of K , for which 4^ 1+x +4^ 1-x , K 2 , 16^x+16^ -x are three consecutive terms of an A.P., is equal to :

Options

  1. A8
  2. B4
  3. C10
  4. D16

Correct answer

C. 10

Step-by-step solution

( gathered k =4 (4^ x + 1 4^ x )+ (4^ 2 x + 1 4^ 2 x ) 2 2 gathered ) k 10

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