Question

A positive integer is of the form 3q+1,q being a natural number. Can you write its square in any form other than 3m+1 ,1.E., 3m or 3m+2 for some integer m? Justify your answer

Answer 1

Answer:

step by step explanation:

a=3q

SOBS

a.sq=9q.sq

a=3(3q.sq)

a=3m [3q.sq=m]

a=3q+1

SOBS

a.sq=9q.sq+1.sq

a.sq=3(3q.sq)+1

a.sq=3m+1 [3q.sq]