Question

use Euclid's division lemma to show that any positive odd integer is of the form 6q+1 or 6q+3 or 6q+5, where q is some integer​

Answer 1

Answer:

Show that any positive odd integer is of the form 6q + 1 or 6q + 3 or 6q + 5; where q is some integer. Let a be the positive odd integer which when divided by 6 gives q as quotient and r as remainder. but here, a=6q+1 & a=6q+3 & a=6q+5 are odd.

Step-by-step explanation:

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Answer 2

Answer:

#let us start with taking a where b=6

#we apply Euclid division lemma a=b×q+r

#then the possible remainders are=12345

#the even integers are 6q, 6q+2,6q4

# the odd integers are 6q+1, 6q+3, 6q+5