MathematicsWhich of the following is the value of n if n th  term of the A.P. 3,15,27,39,…   will be 132 more than its 54th   term?

Which of the following is the value of n if n th  term of the A.P. 3,15,27,39,   will be 132 more than its 54th   term?


  1. A
    65
  2. B
    55
  3. C
    64
  4. D
    67 

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    Solution:

    We have been given,
    a=3 d=153 d=12  
     According to the question,
      a n = a 54 +132 a+ n1 d=a+53d+132 3+(n1)12=3+53(12)+132 12n12=636+132 12n=780  
    n=65  
    Therefore, the value of n is 65.
    Hence, option 1 is correct.
     
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