MathematicsWhich term of the A.P. 100,90,80,…,… is Zero?

Which term of the A.P. 100,90,80,...,... is Zero?


  1. A
    5th
  2. B
    6th
  3. C
    10th
  4. D
    11th 

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    Solution:

    A1 = 100
    A2 = 90
    d = A2-A1
    = 90 - 100= - 10
    Let the required term be n.
    nth term of A.P = A1 + ( n - 1 ) d
    0 = 100 + ( n - 1 ) ( - 10 )
    So,- 100 = - 10 ( n - 1 )
    Or,-100-10 = ( n - 1 )
    Or, 10 = n - 1
    Or, 10 + 1 = n
    Or, n = 11 Hence (4) is the correct option.
     
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