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AIME Problems
1983 AIME Problems
6
6
Part of
1983 AIME Problems
Problems
(1)
Remainders
Source:
11/12/2005
Let
a
n
=
6
n
+
8
n
a_n = 6^n + 8^n
a
n
=
6
n
+
8
n
. Determine the remainder on dividing
a
83
a_{83}
a
83
by 49.
AIME
modular arithmetic
function
algebra
binomial theorem
number theory