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Home Aptitude Permutation and Combination See What Others Are Saying!
  • Question
  • Find the value of 'n' for which the nth term of two AP'S: 15,12,9.... and -15,-13,-11...... are equal?


  • Options
  • A. n = 2
  • B. n = 5
  • C. n = 29/5
  • D. n = 1

  • Correct Answer
  • n = 29/5 

    Explanation

    Given are the two AP'S:

    15,12,9.... in which a=15, d=-3.............(1) 

    -15,-13,-11..... in which a'=-15 ,d'=2.....(2)

     

    now using the nth term's formula,we get

    a+(n-1)d = a'+(n-1)d'

    substituting the value obtained in eq. 1 and 2,

    15+(n-1) x (-3) = -15+(n-1) x 2

    => 15 - 3n + 3 = -15 + 2n - 2

    => 12 - 3n = -17 + 2n

    => 12+17 = 2n+3n

    => 29=5n

    => n= 29/5

  • Tags: Analyst

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