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The sum of all positive integers less than 300 which are not divisible by 3.

 

 

 

 

 

 

Please help!

 Jan 28, 2017
 #1
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30,000 (?)

 Jan 28, 2017
 #2
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The sum of all positive integers from 1 to 299:

299 x 300/2 =44,850

 

The sum of all positive integers less than 300 and DIVISIBLE  by 3:

=n/2[2a + (n - 1)d]=99/2[6 + (99 - 1).3] =14,850

 

The sum of all positive integers less than 300 and NOT divisible by 3:

44,850 - 14,850 = 30,000.

 Jan 28, 2017

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