MathDB
Problems
Contests
National and Regional Contests
China Contests
ASDAN Math Tournament
2017 ASDAN Math Tournament
5
2017 Algebra #5
2017 Algebra #5
Source:
August 20, 2022
2017
Algebra Test
Problem Statement
Compute
∑
i
=
0
∞
(
−
1
)
i
∑
j
=
i
∞
(
−
1
)
j
2
j
2
+
4
j
+
3
.
\sum_{i=0}^\infty(-1)^i\sum_{j=i}^\infty(-1)^j\frac{2}{j^2+4j+3}.
i
=
0
∑
∞
(
−
1
)
i
j
=
i
∑
∞
(
−
1
)
j
j
2
+
4
j
+
3
2
.
Back to Problems
View on AoPS