Difference between revisions of "2023 AMC 8 Problems/Problem 16"
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~Star League (https://starleague.us) | ~Star League (https://starleague.us) | ||
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+ | ==Video Solution by OmegaLearn (Using Cyclic Patterns)== | ||
+ | https://youtu.be/83FnFhe4QgQ |
Revision as of 20:54, 24 January 2023
The letters P, Q, and R are entered into a table according to the pattern shown below. How many Ps, Qs, and Rs will appear in the completed table?
Solution 1
In our grid we can see there are
,
and
of the letters P, Q and R’s respectively. We can see our pattern between each is
,
,
for the P, Q and R’s respectively. This such pattern will follow in our bigger example, so we can see that the only answer choice which satisfies this condition is
(Note: you could also "cheese" this problem by listing out all of the letters horizontally in a single line and looking at the repeating pattern.)
~apex304, SohumUttamchandani, wuwang2002, TaeKim, Cxrupptedpat
Animated Video Solution
~Star League (https://starleague.us)