Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
n
1
,
n
2
n_1, n_2
n
1
,
n
2
are positive integers then
(
1
+
i
)
n
1
+
(
1
+
i
3
)
n
1
+
(
1
+
i
5
)
n
2
+
(
1
+
i
7
)
n
2
(1+i)^{n_1} + (1+i^3)^{n_1} + (1+i^5)^{n_2} + (1+i^7)^{n_2}
(
1
+
i
)
n
1
+
(
1
+
i
3
)
n
1
+
(
1
+
i
5
)
n
2
+
(
1
+
i
7
)
n
2
is a real number if and only if
Browse the problem library