Let P = 1 + 3 + 5 + … + (2k − 1) be the sum of the odd integers from 1 to 2k,…

GATE · 2008 · CS

Let P = 1 + 3 + 5 + … + (2k − 1) be the sum of the odd integers from 1 to 2k, and let Q = 2 + 4 + 6 + … + 2k be the sum of the even integers from 1 to 2k, where k is a positive integer. Then:

  1. A.

    P = Q - k

  2. B.

    P = Q + k

  3. C.

    P = Q

  4. D.

    P = Q +2 k

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