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Find the modulo 7 remainder of the sum 1+3+5+7...+197+199+201.

 Nov 17, 2020
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We can find the  number of odd positive  terms by

 

2n  - 1  = 201

2n = 202

n =101

 

And the  sum of the  first  n  odd positive  terms  = n^2  = 101^2  = 10201

 

So

 

10201  mod 7   =     2

 

 

 

 

 

cool cool cool cool  

 Nov 17, 2020

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