1.

Show that every positive odd integer is of form 2q + 1

Answer»

Answer:

let 'a' be any positive INTEGER and b=2

By euclid's division algorithm

a=bq+r       0≤r

a=2q+r       0≤r<2

(i.e) r =0,1

r=0 , a=2q+0=> a=2q

r=1, a=2q+1

if a is the FORM of 2m then 'a' is an even integer and positive odd integer is of the form 2m+1


Discussion

No Comment Found

Related InterviewSolutions