Multiple Choice Questions on The sum of the first 3 terms in an AP is 6 and that of the last 3 is 16 If the AP has 13 terms what ........... for Mathematics - All Exams Preparation

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The sum of the first 3 terms in an AP is 6 and that of the last 3 is 16 If the AP has 13 terms what ...........

Quantitative Aptitude ( CCS) Arithmetic progression
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    The sum of the first 3 terms in an AP is 6 and that of the last 3 is 16. If the AP has 13 terms, what is the sum of the middle three terms?

    7

    Incorrect Answer

    9

    Incorrect Answer

    11

    Correct Answer

    13

    Incorrect Answer
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    Explanation:

    The AP can be expressed as a, (a + d), ---, (a +12d).
    The sum of the first 3 terms is (3a + 3d) = 6
    and that of the last 3 is (3a + 33d) = 16.
    Solving these equations, we get a = 5/3 and d = 1/3.
    The sum of the middle 3 terms is (3a + 18d) = 11.

    By: Amit Kumar
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