Write whether every positive integer can be of the form 4q+2
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Answered by
1
NO...
FOR EX:1. 36
BY E.D.L
36=4×9+0
2. 43
BY E.D.L
43=4×10+3
THEREFORE ...
ANSWER IS ,NO...
Answered by
3
Answer:
Yes may be
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.
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