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Manipal Entrance Test 2018 Math Paper
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© examsnet.com
Question : 8
Total: 70
The sum to n terms of the series
1
2
+
3
4
+
7
8
+
15
16
+
.
.
.
.
is
2
n
−
1
1
−
2
n
n
+
2
n
−
1
n
−
1
+
2
−
n
Validate
Solution:
1
2
+
3
4
+
7
8
+
15
16
+
.
.
.
.
upto n terms
=
(
1
−
1
2
)
+
(
1
−
1
4
)
+
(
1
−
1
8
)
.
.
.
upto n terms
=
(
1
+
1
+
1
+
.
.
.
n
terms
)
−
(
1
2
+
1
2
2
+
1
2
3
+
.
.
.
n
terms
)
=
n
−
1
2
(
1
−
1
2
n
)
1
−
1
2
=
n
−
1
+
1
2
n
=
n
−
1
+
2
n
© examsnet.com
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