Question

how to find middle term of A.P.
ODD AND EVEN both​

Answer 1

To find the middle term of A.P.

(i) In case of odd number

   Middle term in case of odd number is $(\frac{n+1}{2}) ^{th}$ term.

(ii) In case of even number

   There are two middle terms in case of even number, which are $\frac{n}{2} ^{th}$ and

   $(\frac{n+1}{2}) ^{th}$ terms.

Answer 2

Answer: If odd:- $(\frac{n+1}{2})th\ term$

              If even:-$(\frac{n+1}{2})th \ term$ &$(\frac{n}{2} )th \ term$

Explanation:

• Case:1 If given AP series have odd terms that the middle terms is

       = $(\frac{n+1}{2})th\ term$

         Where n=no.of terms of an given AP series

• Case2: If given AP series have even terms that the middle terms is

      $(\frac{n+1}{2})th \ term$ &$(\frac{n}{2} )th \ term$

       Where n=no.of terms of an given AP series.

       (Even AP series have two middle terms)