Question

show that any positive integer is of the form either 5m or 5m+2,5m+4 where m is any Integer​

Answer 1

How can that be plz some genius come and help...... 1 is integer,

If 1=5m,m=1/5......not an integer

If 1=5m+2,m=-1/5......same

If 1=5m+4,m=-3/5......again the same

Plz someone legendary explain this to me

Answer 2

Hey!! the question is not complete there is mistake in the ques.. -- show that any even positive integer _ __ ___ ______

integer.

$olution:-----

Let 'x' be any positive integer and b=5

since 0_< r<b , so the possible remainder is 0,1,2,3,4,5.

so 'x' can be 5m , 5m+1, 5m+2 , 5m+3 ,5m+4, 5m+5.

but 5m+1, 5m+3 ,5m+5 are odd integer and 'x' is even. , where m is quotient

so, x only in the form of 5m, 5m+2, 5m+4 is the positive integer..