Question

show that every positive integer is in form 2m or 2m + 1 according as n is even or odd positive integer

Answer 1

Answer:

this is the answer for the question

Answer 2

LET a BE ANY POSITIVE INTEGER AND b=2

BY APPLYING EUCLIDS DIVISION LEMMA,

a=bq+r,where r<=b

therefore,a=2q+r,r<=2

so,a=2q+1 or 2q

a=2q when a is even

a=2q+1 when a is odd