2021 AMC 12A Problems/Problem 8
Problem
A sequence of numbers is defined by and
for
. What are the parities (evenness or oddness) of the triple of numbers
, where
denotes even and
denotes odd?
Solution
Making a small chart, we have
This starts repeating every 7 terms, so ,
, and
. Thus, the answer is
~JHawk0224
Video Solution by Hawk Math
https://www.youtube.com/watch?v=P5al76DxyHY
See also
2021 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 7 |
Followed by Problem 9 |
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All AMC 12 Problems and Solutions |
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