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    Question

    Find the sum of all number divisible by 6 in between 50

    to 200.
    A 3050 Correct Answer Incorrect Answer
    B 3150 Correct Answer Incorrect Answer
    C 2950 Correct Answer Incorrect Answer
    D 2750 Correct Answer Incorrect Answer

    Solution

    Here 1st term = a = 54 (which is the 1st term greater than 50 that is divisible by 6) The last term less than 200, which is divisible by 6 is 198 The number of terms in the in the AP; 54, 60, 66……..198 Here a = 54, d = 6 and number of terms = (198 – 54)/6 + 1 = 25 Sn = {n/2} [2a + (n – 1)d)] Sn = (25/2) [(2 x 54) + (24 x 6)] Sn = 3150

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