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India LIMIT
2019 LIMIT
2019 LIMIT Category C
Problem 7
infinite fraction sum
infinite fraction sum
Source: LIMIT 2019 CCS1 P7
April 28, 2021
Summation
algebra
Problem Statement
The value of
(
1
+
2
6
+
2
⋅
5
6
⋅
12
+
2
⋅
5
⋅
8
6
⋅
12
⋅
18
+
…
)
3
\left(1+\frac26+\frac{2\cdot5}{6\cdot12}+\frac{2\cdot5\cdot8}{6\cdot12\cdot18}+\ldots\right)^3
(
1
+
6
2
+
6
⋅
12
2
⋅
5
+
6
⋅
12
⋅
18
2
⋅
5
⋅
8
+
…
)
3
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