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Question

Find the middle term of the AP 6,13,20,........,216.

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Solution

Given,
a=6

d=136=7

Tn=a+(n1)d

216=6+(n1)7

210=(n1)7

n1=30


n=31

If n is odd then the middle term is n+12

Middle term, =31+12=16

T16=6+(161)7=111.

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