write whether every positive integer can be of the form 4q+2 where q is an integer. justify your answer
Answers
Answered by
0
Answer:
Step-by-step explanation:
Attachments:
Answered by
1
Answer:
Let a be a given positive number.
On dividing a by 4, let q be the quotient and r be the remainder.
Then,by Euclid's algorithm,we have:
a=4q+r where 0<=r<4
a=4q+r where r=0,1,2,3
a=4q+2=2(2q+1)
It is clearly shown that 2q+1 is divisible by 2.Therefore,4q+2 is a positive integer.
Read more on Brainly.in - https://brainly.in/question/11180626#readmore
Step-by-step explanation:
Similar questions