17. Find the middle term of the AP 6, 13, 20, ..., 216.
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Answer:
Given,
a=6
d=13−6=7
T
n
=a+(n−1)d
216=6+(n−1)7
∴n=31
If n is odd then the middle term is
2
n+1
Middle term, =
2
31+1
=16
T
16
=6+(16−1)7=111.
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