Which term of the AP 3, 15, 27, 39………. will be 132 more than its 54th term?

  1. 57
  2. 92
  3. 63
  4. 65
Anurag Mishra Professor Asked on 18th April 2016 in Maths.
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  • 1 Answer(s)

    Answer: (4) 65 

    Solution:-
    First term (a) = 3, 
    d = 15 – 3 
     = 12 

    Formula-
    nth term = a + (n – 1) d

    Then, 54th term = 3 + (54 – 1) 12 
    =  3 + 53 x 12
    = 639

    Then, the value of nth term which is 132 more than 54th term .
    Then, nth term = 639 + 132
     nth term = 771
    3 + (n – 1) 12 = 771
    (n – 1) 12 = 771 – 3
    n – 1 = 768/12
    n – 1 = 64
    n = 64 + 1
    n = 65 

    Hence, the correct answer is option (4) 65. 

    Anurag Mishra Professor Answered on 22nd April 2016.
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