Show that any positive odd integer is of the form 6q+1or 6q+3or 6q+5 w

1.	Show that any positive odd integer is of the form 6q+1or 6q+3or 6q+5 where q is some integer.
Answer» a Buddy.....♡ $\huge\red{\tt{\underline{Answer:-}}}$ Let a be a given integer. On DIVIDING a by 6 , we get Q as the quotient and R as the remainder such that a = 6q + r, r = 0,1,2,3,4,5 when r=0 a = 6q,even no when r=1 a = 6q + 1, odd no when r=2 a = 6q + 2, even no when r = 3 a=6q + 3,odd no when r=4 a=6q + 4,even no when r=5, a= 6q + 5 , odd no Any positive odd integer is of the form 6q+1,6q+3 or 6q+5. ${\huge{\underline{\small{\mathbb{\blue{HOPE\:HELP\:U\:BUDDY :)}}}}}}$ ${\huge{\underline{\small{\mathbb{\pink{~cαndчflσѕѕ♡ :)}}}}}}$

Show that any positive odd integer is of the form 6q+1or 6q+3or 6q+5 where q is some integer.

Answer»

a Buddy.....♡

$\huge\red{\tt{\underline{Answer:-}}}$

Let a be a given integer.

On DIVIDING a by 6 , we get Q as the quotient and R as the remainder such that

a = 6q + r, r = 0,1,2,3,4,5

when r=0

a = 6q,even no

when r=1

a = 6q + 1, odd no

when r=2

a = 6q + 2, even no

when r = 3

a=6q + 3,odd no

when r=4

a=6q + 4,even no

when r=5,

a= 6q + 5 , odd no

Any positive odd integer is of the form 6q+1,6q+3 or 6q+5.

${\huge{\underline{\small{\mathbb{\blue{HOPE\:HELP\:U\:BUDDY :)}}}}}}$

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