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show that an even integer is of the form 6q and 6q+2 for 6q+4 where q is a positive integer

Posted by Rohit Yadav 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Saumya Saini 6 years, 11 months ago

let a be any positive integer then b= 6 a= bq+r 0≤r<b 0≤r<6 r= 0,1,2,3,4,5 case 1. r=0 a= bq+r 6q+0 6q case 2. r=1 a= 6q+1 6q+1 case3. r=2 a=6q+2 case 4. r=3 a=6q+3 case 5 r=4 a=6q+4 case 6.. r=5 a=6q+5 hence from above it is proved that any even positive integer is of the form 6q ,6q+2,6q+4

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CBSE > Class 10 > Mathematics