Tardigrade
Tardigrade - CET NEET JEE Exam App
Exams
Login
Signup
Tardigrade
Question
Mathematics
The sum value of the series (3/4) +(5/36) +(7/144) +(9/400) + ...∞ is
Q. The sum value of the series
4
3
+
36
5
+
144
7
+
400
9
+
...∞
is
2700
182
J & K CET
J & K CET 2017
Sequences and Series
Report Error
A
1
50%
B
2
12%
C
32
25%
D
0
12%
Solution:
Let
S
=
4
3
+
36
5
+
144
7
+
400
9
+
…
∞
=
1
2
⋅
2
2
3
+
2
2
⋅
3
2
5
+
3
2
⋅
4
2
7
+
4
2
⋅
5
2
9
+
…
∞
=
1
2
⋅
2
2
2
2
−
1
2
+
2
2
⋅
3
2
3
2
−
2
2
+
3
2
⋅
4
2
4
2
−
3
2
+
4
2
⋅
5
2
5
2
−
4
2
+
…
∞
=
1
−
2
2
1
+
2
2
1
−
3
2
1
+
3
2
1
−
4
2
1
+
4
2
1
−
5
2
1
+
…
∞
=
1