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+1
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3
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What is the remainder when 2 + 4 + 6 + ... + 100 + 102 + 104 is divided by 7?

 Aug 2, 2022
 #1
avatar+5 
+2

Remainder is 3

 Aug 2, 2022
 #2
avatar
+1

sumfor(n, 2/2, 104/2, 2*n)==2756 mod 7 == 5 - the remainder 

 Aug 2, 2022
 #3
avatar+124676 
+1

 Number of terms in the series =  (104 - 2)  / 2  + 1  = 51 + 1  =    52

 

Sum of the series  =   

 

(2 + 104) * (52)  / 2  =

 

53 * 52  =

 

2756

 

2756 mod 7  =   5

 

 

cool cool cool

 Aug 2, 2022

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