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6
2017 Discrete #6
2017 Discrete #6
Source:
October 12, 2022
2017
Discrete Math Test
Problem Statement
The sum
∑
n
=
0
2016
⋅
201
7
2
201
8
n
\sum_{n=0}^{2016\cdot2017^2}2018^n
n
=
0
∑
2016
⋅
201
7
2
201
8
n
can be represented uniquely in the form
∑
i
=
0
∞
a
i
⋅
201
7
i
\sum_{i=0}^{\infty}a_i\cdot2017^i
∑
i
=
0
∞
a
i
⋅
201
7
i
for nonnegative integers
a
i
a_i
a
i
less than
2017
2017
2017
. Compute
a
0
+
a
1
a_0+a_1
a
0
+
a
1
.
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