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Question

Find the middle term of an A.P. 6,13,20,.....,216.

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Solution

A=6
d=7
Tn= a+ (n-1)d
216=6+(n-1)*7
n=31
total no. of terms=31
middle term=(31+1)/2
=16th
T16= a+(16-1)d
= 6+(15*7)
=111
therefore the middle term of the AP is 111 answer

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