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Show that any positive odd integer of the form 6q+ 1 or 6Q + 3 or 6Q + 5 were q in some integer
Solution Let a be any positive odd integer and b = 6. We can apply Euclid’s division algorithm on a and b = 6. ⇒a=6q+r We know that value of b = 6. ⇒0≤r<6 ∴ All possible values of a are: a = 6q a = 6q+1 a = 6q+2 a = 6q+3 a = 6q+4 […]
Show that any positive odd integer is of the form 6 q + 1 , or 6 q + 3 , or 6 q + 5 , where q is some integer.
Solution Using Euclid division algorithm, we know that a=bq+r, 0≤r≤b —-(1) Let a be any positive integer and b=6. Then, by Euclid’s algorithm, a=6q+r for some integer q≥0, and r=0,1,2,3,4,5 ,or 0≤r<6. Therefore, a=6qor6q+1or6q+2or6q+3or6q+4or6q+5 6q+0:6 is divisible by 2, so it is an even number. 6q+1:6 is divisible by 2, but 1 is not divisible by 2 so it is an odd number. 6q+2:6 is divisible by 2, and 2 is divisible by 2 so it is an even number. 6q+3:6 is divisible […]
Significance of Tackling Previous Years Papers Before Exams
Significance of Tackling Previous Years Papers Before Exams With so many paper examples and question designs, understudies could hook during the last couple of days before exams. While there might be a period smash to cover the prospectus, there are compelling ways of planning for exams. The exam season has very much started the nation […]