Online Course Discussion Forum

UCSD Summer Camp, Green - Number Theory, P4

 
 
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UCSD Summer Camp, Green - Number Theory, P4
by Sophia Cui - Saturday, August 12, 2023, 5:17 PM
 

Find the next term in the sequence 3, 11, 23, 35, 43, 43, ...

 
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Re: UCSD Summer Camp, Green - Number Theory, P4
by Dr. Kevin Wang - Sunday, August 13, 2023, 11:02 AM
 

This question is a brain teaser based on number bases. 

3 in binary is 11

11 (treated as base 10) in base 4 is 23

23 (treated as base 10) in base 6 is 35

35 (same as above) in base 8 is 43

43 in base 10 is still 43

43 in base 12 is ....


Picture of Sophia Cui
Re: UCSD Summer Camp, Green - Number Theory, P4
by Sophia Cui - Sunday, August 13, 2023, 5:51 PM
 

Got it. Thanks a lot!