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    Question

    Consider a sequence (8, 11, 14, 17, 20, тАж up to 2020

    terms). If P represents the average of all positive even integers and Q represents the average of all positive odd integers, find the difference between P and Q, where n is an integer greater than 198.
    A 4 Correct Answer Incorrect Answer
    B 3 Correct Answer Incorrect Answer
    C 7 Correct Answer Incorrect Answer
    D 8 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    If, we take 4 terms = 8, 11, 14, 17 Value of P = (8 + 14)/2 = 11 Value of Q = (11 + 17)/2 = 14 Difference of P and Q = 14 тАУ 11 = 3 If we take 6 terms = 8, 11, 14, 17, 20, 23 Value of P = (8 + 14 + 20)/3 = 14 Value of Q = (11 + 17 + 23)/3 = 17 Difference of P and Q = 17 тАУ 14 = 3 If we take 2020 terms, the difference will be the same = 3 Hence answer is option B

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