Question

Hii frndss, pls answer this question quickly!!!
Show that the square of an odd positive integer can be of the form 6q+1 or 6q+3 foir some integer q.

Answer 1

here is your answer


Let us look at the positive numbers generated by 6q + 1, so we have to start with the non negative integer 0, then input 1, 2, 3…

1, 7, 13, 19…

Now for 6q + 3:

3, 9, 15, 21…

Now for 6q + 5:

5, 11, 17, 23…

Add the three series, and you get all the the positive odd integers:

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23…

All positive integers are generated by one of the three formulas you gave.

I hope I help you