Question

show that every positive integer is of the form 5m+1 or 5m+3 for some odd integer m

Answer 1

Let the positive integer be a and b=5.then,
By EDL,
a=bq+r (where 0<r<b)
Since,b=5
So,
a=5m,5m+1,5m+2,5m+3
Therefore,5m+1 and 5m+3 are positive odd integer