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Croatian School-Level Competitions
Grade 12
2022
Problem 6
Grade 12 2022 Problem 6
Algebra
Combinations
Sums
Izračunaj
∑
k
=
1
1011
(
2022
2
k
−
1
)
2
k
−
1
\sum_{k=1}^{1011} \binom{2022}{2k-1}2^{k-1}
k
=
1
∑
1011
(
2
k
−
1
2022
)
2
k
−
1