Show that any positive odd integer is ofbthe form (6m+1) or (6m+3) or (6m+5) , where m is some integer.
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let "a" be any positive integer
and b =6
a= b q + r 0<r<b
a=6q+0. even
6*1=6 6*2= 12
6q+1. odd
6*1+1=7. 6*2+1=13
a=6q+2. even
a=6q+3. odd
a=6q+4. even
a=6q+5. odd
hence with this we can prove that any positive odd integer is of the form 6q + 1 6q + 3 and 6q + 5
and b =6
a= b q + r 0<r<b
a=6q+0. even
6*1=6 6*2= 12
6q+1. odd
6*1+1=7. 6*2+1=13
a=6q+2. even
a=6q+3. odd
a=6q+4. even
a=6q+5. odd
hence with this we can prove that any positive odd integer is of the form 6q + 1 6q + 3 and 6q + 5
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