Q. 84.5( 11 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.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses