Question

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

Answer 1

Answer:

Let a be a given integer.On dividing a by 6 , we get q as the quotient and r as the remainder such thata = 6q + r, r = 0,1,2,3,4,5

when r=0

when r=0a = 6q,even no

when r=1

when r=1a = 6q + 1, odd no

when r=2

when r=2a = 6q + 2, even no

when r = 3

when r = 3a=6q + 3,odd no

when r=4

when r=4a=6q + 4,even no

when r=5,

when r=5,a= 6q + 5 , odd no

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

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Answer 2

Step-by-step explanation:

$<p style="color:cyan;font-family:cursive; background:black;font-size:25px;">Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer. Square of any positive integer is either of the form 3m or 3m+1, where m is any positive integer. Define Euclid Division Lemma || To find HCF of 135 and 225$

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