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JEE Main202125 Jul 2021Evening ShiftMathematicsFunctionsActual

If x be the greatest integer less than or equal to x , then ∑ n = 8 100 - 1 n n 2 is equal to:

Options

  1. A0
  2. B4
  3. C- 2
  4. D2

Correct answer

B. 4

Step-by-step solution

Let S =   ∑ n = 8 100 - 1 n · n 2 Therefore, S = 4 - 5 + 5 - 6 + 6 + … - 50 + 50 ⇒ S = 4 .

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