show that any positive integer is of the form 6q,6q+1,or 6q+3,or 6q +5,where q is some integer.
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please give me answer fasttt
IT IS ARGENT
GIVE PERFECT ANSWER.........:) :)
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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 positive integer is of the form 6q, 6q+1,6q+2,6q+3,6q+4 and 6q+5and