Difference between revisions of "2021 AIME I Problems/Problem 3"

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==Solution==
 
==Solution==
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<math>9+8+7+6+5+5+4+3+2+1=\boxed{50}</math>
 
==See also==
 
==See also==
 
{{AIME box|year=2021|n=I|num-b=2|num-a=4}}
 
{{AIME box|year=2021|n=I|num-b=2|num-a=4}}
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[[Category:Introductory Number Theory Problems]]
 
{{MAA Notice}}
 
{{MAA Notice}}

Revision as of 15:58, 11 March 2021

Problem

Find the number of positive integers less than $1000$ that can be expressed as the difference of two integral powers of $2.$

Solution

$9+8+7+6+5+5+4+3+2+1=\boxed{50}$

See also

2021 AIME I (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions

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