Question

Show that any positive integer is the form 4q+1 and 4q+3, where Q is positive integer. ​

Answer 1

Answer:

this is solution of rs agrawal

Answer 2

Solution....

According to division lemma method ,

If a and b are two positive integers,then

a = bq + r

Where

$0 \leqslant r < b$

b = 4

Hence

a = 4q +r

where

$0 \leqslant r < 4$

r is the interger greater than or equal to 0 or less than 4.

r either be = 0,1,2,3...

If r = 1

a = 4q +1

This always be an positive integer.

If r = 3

Our equation become ...

a = 4q +3

This will always be an positive integer.

Hence proved !!!!

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