show that any positive integer is in the form 3q or 3q+1 or 3q+2 for some integet
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I think 3q+1 is the positive integer please like and do brain lest answer I request you
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Positive integers are 1,2,3....
If we divide any no. By 3.
We get remainder either 0 or 1 or 2.
For remainder 0, we can represent that number as multiple of 3=3q.(ex: 9=3q)
For remainder 1, we can represent that
number as multiple of 3 and remainder +1=3q+1.
Similarly for remainder 2, 3q+2.
Thus we can represent any number in form of 3q,3q+1,3q+2.
If we divide any no. By 3.
We get remainder either 0 or 1 or 2.
For remainder 0, we can represent that number as multiple of 3=3q.(ex: 9=3q)
For remainder 1, we can represent that
number as multiple of 3 and remainder +1=3q+1.
Similarly for remainder 2, 3q+2.
Thus we can represent any number in form of 3q,3q+1,3q+2.
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