show that every positive even integer is of the from 2q, and that every positive odd integer is of the gorm 2q+1,where q is some integer?
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q=2
then r= 0,1
as we know a = bq + r and 0<_ r < b
Therefore,
If r = 0
a = bq + 0
a= 2q
hence, it is divisible by 2 and is an even integer with some value of q in positive.
If r = 1
a = bq + 1
a = 2q + 1
Hence, it is not divisible by 2 and is the positive odd integer with some value of q.
We conclude that every + odd integer is of the form 2q + 1 and every + even integer is of the form 2q.
I hope you got your answer...........
TNX............
q=2
then r= 0,1
as we know a = bq + r and 0<_ r < b
Therefore,
If r = 0
a = bq + 0
a= 2q
hence, it is divisible by 2 and is an even integer with some value of q in positive.
If r = 1
a = bq + 1
a = 2q + 1
Hence, it is not divisible by 2 and is the positive odd integer with some value of q.
We conclude that every + odd integer is of the form 2q + 1 and every + even integer is of the form 2q.
I hope you got your answer...........
TNX............
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