Show that any positive integer is of the form 3 q , 3q+1, 3q+2 for some integer q.

0 votes
1 view
asked Mar 23 in Class X Maths by Sakshi Gupta (-260 points)

Please log in or register to answer this question.

1 Answer

0 votes
answered Apr 14 by HDK Basic (24 points)

Let A be any positive integer,

now, by Euclids Division Lemma,

"a=bq+r"

now, b=3 

therefore, 'r' should be  0, 1 or 2                           {B'coz 0<r}

now, when r = 0 

then,

a=3q+r

a=3q+0

a=3q

========

when r = 1 

a=3q+r

a=3q+1

========

when r = 2

a=3q+r

a=3q+2

HENCE PROVED 

commented Apr 14 by HDK Basic (24 points)
IS IT OK SAKSHI

Related questions

...