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1983 AIME Problems
6
Remainders
Remainders
Source:
November 12, 2005
AIME
modular arithmetic
function
algebra
binomial theorem
number theory
Problem Statement
Let
a
n
=
6
n
+
8
n
a_n = 6^n + 8^n
a
n
ā
=
6
n
+
8
n
. Determine the remainder on dividing
a
83
a_{83}
a
83
ā
by 49.
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