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NDA - Special series Test 1198
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NDA - Special series Test 1198
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  • Question 1/5
    1 / -0.33
    The sum of the first five terms and the sum of the first ten terms of an AP are same. Which one of the following is the correct statement?
    Solutions

    Correct Answer is option C

    Sum of n term of AP

    Sum of first 5 terms

    Sum of first 10 terms

    So, Either the first term or the common difference is negative but not both

  • Question 2/5
    1 / -0.33
    After inserting n A.M.’s between 2 and 38, the sum of the resulting progression is 200. The value of n is
    Solutions

    There will be (n + 2) terms in the resulting A.P. 

    Sum of the progression ⇒ ⇒

  • Question 3/5
    1 / -0.33
    3 A .M.’s between 3 and 19 are
    Solutions

    Let  be three A.M.’s. Then  are in A.P.

    ⇒ common difference .Therefore  , ,

  • Question 4/5
    1 / -0.33
    If a, b, c, d, e, f are A.M.’s  between 2 and 12, then  is equal to
    Solutions

    Since, a, b, c, d, e, f are six A.M.’s between 2 and 12

    Therefore,

  • Question 5/5
    1 / -0.33
    If  are in arithmetic progression and , then
    Solutions

    ⇒

    ⇒

    ⇒

    (∵ In an A.P. the sum of the terms equidistant from the beginning and the end is same and is equal to the sum of first and last term)

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