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Manipal Entrance Test 2018 Math Paper
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© examsnet.com
Question : 62
Total: 70
The sum of infinite terms of the geometric progression
√
2
+
1
√
2
−
1
,
1
2
−
√
2
,
1
2
,
.
.
.
is
√
2
(
√
2
+
1
)
2
(
√
2
+
1
)
2
5
√
2
3
√
2
+
√
5
Validate
Solution:
In the given series
a
=
√
2
+
1
√
2
−
1
and
r
=
1
2
+
√
2
=
2
−
√
2
2
∴
S
∞
=
a
1
−
r
=
√
2
+
1
√
2
−
1
1
−
2
−
√
2
2
=
√
2
(
√
2
+
1
)
√
2
−
1
=
√
2
(
√
2
+
1
)
2
© examsnet.com
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