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Mathematics
Mathematics
Problem
Find the value of
1
+
i
2
+
i
4
+
i
6
+
⋯
+
i
2
n
1 + i^2 + i^4 + i^6 + \dots + i^{2n}
1
+
i
2
+
i
4
+
i
6
+
⋯
+
i
2
n
, where
i
=
−
1
i = \sqrt{-1}
i
=
−
1
and
n
∈
N
n \in N
n
∈
N
.
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