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AIEEE 2009 Solved Paper
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© examsnet.com
Question : 66
Total: 89
The sum to infinite term of the series
1
+
2
3
+
6
3
2
+
10
3
3
+
14
3
4
+
.
.
.
is
3
4
6
2
Validate
Solution:
We have
S
=
1
+
2
3
+
6
3
2
+
10
3
3
+
14
3
4
+
.
.
.
.
.
.
.
.
.
∞
..........(i)
Multiplying both sides by
1
3
we get
1
3
S
=
1
3
+
2
3
2
+
6
3
3
+
10
3
4
+
.
.
.
.
.
.
...........(ii)
Subtracting eqn. (2) from eqn. (1) we get
2
3
S
=
1
+
1
3
+
4
3
2
+
4
3
3
+
4
3
4
+
.
.
.
.
.
.
∞
⇒
2
3
S
=
4
3
+
4
3
2
+
4
3
3
+
4
3
4
+
.
.
.
.
.
.
∞
⇒
2
3
S
=
4
3
1
−
1
3
=
4
3
×
3
2
⇒
S
−
3
© examsnet.com
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