1.

Show that any positive odd integer is of the form 6q + 1or 6q+ 3, or 6q+5, where , q is some integer.​ please solve it fast it's urgent and please if u'll know then only give answer.

Answer»

Answer:

Step-by-step explanation:

LET a be the POSITIVE odd integer which when divided by 6 gives q as quotient and R as remainder.

according to Euclid's division lemma

a=bq+r

a=6q+r

where , a=0,1,2,3,4,5

then,

a=6q

or

a=6q+1

or

a=6q+2

or

a=6q+3

or

a=6q+4

or

a=6q+5

but here,

a=6q+1 & a=6q+3 & a=6q+5 are odd.


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