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NDA Math Sequences and Series
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© examsnet.com
Question : 73
Total: 79
what is the sum of n terms of the series
√
2
+
√
8
+
√
18
+
√
32
+
.
.
.
.
?
[NDA II 2015]
n
(
n
−
1
)
2
√
2
n
(
n
+
1
)
n
(
n
+
1
)
√
2
n
(
n
−
1
)
2
Validate
Solution:
√
2
+
√
8
+
√
18
+
√
32
+
.
.
.
=
√
2
+
2
√
2
+
3
√
2
+
4
√
2
+
.
.
.
∴
S
n
=
√
2
[
1
+
2
+
3
+
4
+
.
.
.
n
terms
]
=
√
2
n
(
n
+
1
)
2
=
n
(
n
+
1
)
√
2
© examsnet.com
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