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Byju's Answer
Standard XII
Mathematics
Sum of n Terms
Obtain the su...
Question
Obtain the sum of the
56
term of an
A
.
P
. whose
19
t
h
and
38
t
h
terms are
52
and
128
respectively.
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Solution
T
n
=
a
+
(
n
−
1
)
d
Given,
T
38
=
a
+
37
d
=
128
...(1)
T
19
=
a
+
18
d
=
52
...(2)
(1)-(2) gives,
d
=
4
From (2)
a
=
52
−
18
(
4
)
=
−
20
∴
T
56
=
a
+
(
56
−
1
)
d
=
−
20
+
55
×
4
=
200
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