Q. 104.0( 11 Votes )

Find the middle t

Answer :

The given A.P. is 213, 205, 197, …, 37


Let n be the number of terms,


Common difference, d=205-213=-8


First term, a=213


Last term, an=37,


an=a + (n-1)d


37=213 + (n-1)(-8)


(-176)=(n-1)(-8)


22=n-1


n=23(Odd)



So, we have to find a12 for this A.P.


a12=213 + (12-1)(-8)


a12=213 + 11 × (-8)


a12=213-88


a12=125


So, The middle term of this A.P. is 125.


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