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Find \(1_6 + 2_6 + 3_6 + \cdots + 45_6\). Express your answer in base 6.

 Jan 23, 2019
 #1
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456  = 4(6) + 5 =  2910

 

So... the sum of the first 29 integers in base 10  =  (29)(30)/ 2 = 435

 

Converting this to base 6, we have

 

435 / 8 = 72 R 3

 

72 / 6 =  12 R 0

 

12 / 6 = 2 R 0

 

2 / 6 =  0 R 2  =

 

20036

 

 

cool cool cool

 Jan 23, 2019

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