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Mathematics
Problem
Find the value of
2
1
3
+
6
1
3
+
2
3
+
12
1
3
+
2
3
+
3
3
+
20
1
3
+
2
3
+
3
3
+
4
3
+
…
\frac{2}{1^3} + \frac{6}{1^3 + 2^3} + \frac{12}{1^3 + 2^3 + 3^3} + \frac{20}{1^3 + 2^3 + 3^3 + 4^3} + \dots
1
3
2
+
1
3
+
2
3
6
+
1
3
+
2
3
+
3
3
12
+
1
3
+
2
3
+
3
3
+
4
3
20
+
…
upto
∞
\infty
∞
terms : (a) 2 (b)
1
2
\frac{1}{2}
2
1
(c) 4 (d)
1
4
\frac{1}{4}
4
1
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