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Mathematics
Problem
Let
a
1
,
a
2
,
a
3
,
…
a_1, a_2, a_3, \dots
a
1
,
a
2
,
a
3
,
…
be an A.P. If
a
7
=
3
a_7 = 3
a
7
=
3
, the product
a
1
a
4
a_1a_4
a
1
a
4
is minimum and the sum of its first
n
n
n
terms is zero, then
n
!
−
4
a
n
(
n
+
2
)
n! - 4a_{n(n+2)}
n
!
−
4
a
n
(
n
+
2
)
is equal to (Main 31
st
Jan 2
nd
Shift 2023) (a)
381
/
4
381/4
381/4
(b) 9 (c)
33
/
4
33/4
33/4
(d) 24
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