SECTION-C1s. Show that any positive odd integer is of the form 6q + 1

1.	SECTION-C1s. Show that any positive odd integer is of the form 6q + 1 or 6q +3 or 6y+ 5, where q is some integen14. Determine graphically the coordinates of the yerticenf rare y
Answer» 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 lemmaa=bq+r a=6q+rwhere , a=0,1,2,3,4,5then,a=6qora=6q+1ora=6q+2ora=6q+3ora=6q+4ora=6q+5 but here,a=6q+1 & a=6q+3 & a=6q+5 are odd.

SECTION-C1s. Show that any positive odd integer is of the form 6q + 1 or 6q +3 or 6y+ 5, where q is some integen14. Determine graphically the coordinates of the yerticenf rare y

Answer»

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 lemmaa=bq+r

a=6q+rwhere , a=0,1,2,3,4,5then,a=6qora=6q+1ora=6q+2ora=6q+3ora=6q+4ora=6q+5

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