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Byju's Answer
Standard XII
Mathematics
nth Term of A.P
Find the midd...
Question
Find the middle term of the AP
6
,
13
,
20
,
.
.
.
.
.
.
.
.
,
216
.
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Solution
Given,
a
=
6
d
=
13
−
6
=
7
T
n
=
a
+
(
n
−
1
)
d
216
=
6
+
(
n
−
1
)
7
210
=
(
n
−
1
)
7
n
−
1
=
30
∴
n
=
31
If
n
is odd then the middle term is
n
+
1
2
Middle term,
=
31
+
1
2
=
16
T
16
=
6
+
(
16
−
1
)
7
=
111
.
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