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NDA Math Sequences and Series
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© examsnet.com
Question : 35
Total: 79
The sum of ( p+q )
th
and ( p−q )
th
terms of an AP is equal to
[NDA I 2019]
(2p)
th
terms
(2q)
th
terms
Twice the p
th
term
Twice the q
th
term
Validate
Solution:
(C)
Let first terms of AP be ‘a’ and common difference be ‘d’, the
T
p
+
q
+
T
p
−
q
=
a
+
(
p
+
q
−
1
)
d
+
a
+
(
p
−
q
−
1
)
d
=
2
a
+
2
(
p
−
1
)
d
=
2
[
a
+
(
p
−
1
)
d
]
=
2
T
p
© examsnet.com
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