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UCSD Summer Camp, Green - Number Theory, P4

 
 
CuiSophia的头像
UCSD Summer Camp, Green - Number Theory, P4
CuiSophia - 2023年08月12日 Saturday 17:17
 

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

 
WangDr. Kevin的头像
Re: UCSD Summer Camp, Green - Number Theory, P4
WangDr. Kevin - 2023年08月13日 Sunday 11:02
 

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 ....


CuiSophia的头像
Re: UCSD Summer Camp, Green - Number Theory, P4
CuiSophia - 2023年08月13日 Sunday 17:51
 

Got it. Thanks a lot!