MathematicsFind the 9th term from the end (towards the first term) of the A.P. 5,9,13,..,185.

Find the 9th term from the end (towards the first term) of the A.P. 5,9,13,..,185.


  1. A
    148
  2. B
    153
  3. C
    173
  4. D
    179 

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    Solution:

    The  AP is 5,9,13,..,185.
    We know that nth term from the end of AP is given as,
    an=l-n-1d
    where ‘an’ is the nth term, ‘l’ denotes the last term, d is the common difference and n is the number of terms.  Here,
    l=185
    n=9
    d=9-5
    ⇒d=4
    Substitute the above values into the equation.
    a9=185-9-1(4)
    ⇒an=185-32
    ⇒an=153
    Therefore, the 9th term from the end of an AP is 153.
    Hence, option 2 is correct.
     
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