i have a homework with 10 question but im stuck with 3 i searched about them everywhere read other colleges lectures but i couldnt solved them finally i desired to ask here
Prove that each positive integer can be written in form of , where q is odd, and k is a non-negative integer.
Hint: Use induction, and the fact that the product of two odd numbers is odd.
Prove the above statement by using induction on n.
Let be positive integers. Show that if objects are placed into t boxes, then for some i, , the ith box contains at least objects.