Q. 255.0( 9 Votes )

find the middle t

Answer :

The given A.P. is 6, 13, 20, …, 216


Let n be the number of terms,


Common difference, d = 13-6 = 7


First term, a = 6


Last term, an = 216,


an = a + (n-1)d


216 = 6 + (n-1)7


210 = (n-1)7


30 = n-1


n = 31(Odd)



So, we have to find a16 for this A.P.


a16 = 6 + (16-1)7


a16 = 6 + 15 × 7


a16 = 6 + 105


a16 = 111


So, The middle term of this A.P. is 111.

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