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Mathematics
Problem
The sum of the series
1
+
2
3
+
1
3
2
+
2
3
3
+
1
3
4
+
2
3
5
+
1
3
6
+
2
3
7
+
…
1 + \frac{2}{3} + \frac{1}{3^2} + \frac{2}{3^3} + \frac{1}{3^4} + \frac{2}{3^5} + \frac{1}{3^6} + \frac{2}{3^7} + \dots
1
+
3
2
+
3
2
1
+
3
3
2
+
3
4
1
+
3
5
2
+
3
6
1
+
3
7
2
+
…
upto infinite terms is equal to : (a)
15
8
\frac{15}{8}
8
15
(b)
8
15
\frac{8}{15}
15
8
(c)
27
8
\frac{27}{8}
8
27
(d)
21
8
\frac{21}{8}
8
21
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