1) For integers a,b and c and prove that, if a|(b+c) and a|(b-c) then a|(50b-22c)
2)Show that any integer of the form 6k+5 is also fo the form 3k+2 , but not
conversely.
3) Use the Division Algorithm to establish that “Every odd integer is either of the form 4k+1 or 4k+ 3
4) Prove that no integer in the sequence 11, 111, 1111, 11111 is a perfect square.
5) Use the Euclidean Algorithm to obtain integers and satisfying
6) find LCM
