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Mathematics
Problem
The value of sum
∑
n
=
1
13
(
i
n
+
i
n
+
1
)
\sum_{n=1}^{13} (i^n + i^{n+1})
∑
n
=
1
13
(
i
n
+
i
n
+
1
)
, where
i
=
−
1
i = \sqrt{-1}
i
=
−
1
, equals (A)
i
i
i
(B)
i
−
1
i-1
i
−
1
(C)
−
i
-i
−
i
(D) 0
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