Show that any positive nmber odd integer is of the form 6q+1 or 6q+3 orr 6q +5 where q is some integer
Answers
Answered by
1
Answer:
let a be any positive integer.
on dividingn by 6 then we get q as quotient and r as reminder
By Euclid division lemma
where
r=0,1,2,3,4,5
a=6q+0
a=6q+1. ( odd)
a=6q+2. (even)
a=6q+3. (odd)
a= 6q+4. (even)
a=6q+5. (odd)
Thus 6q+1,6q+3, 6q+5 are the positive odd integers
Similar questions