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JEE Main202125 Jul 2021Evening ShiftMathematicsMatricesActual

If P = 1 0 1 2 1 , then P 50 is:

Options

  1. A1 0 25 1
  2. B1 50 0 1
  3. C1 25 0 1
  4. D1 0 50 1

Correct answer

A. 1 0 25 1

Step-by-step solution

P = 1 0 1 2 1 P 2 = 1 0 1 2 1 1 0 1 2 1 = 1 0 1 1 P 3 = 1 0 1 1 1 0 1 2 1 = 1 0 3 2 1 P 4 = 1 0 1 2 1 1 0 3 2 1 = 1 0 2 1 ⋮ ∴   P 50 = 1 0 1 2 + 49 1 2 1 = 1 0 25 1

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