Part A. Write down the positive integers, cross out every second, and form the partial sums of the remaining.

1~~2~~3~~4~~5~~6~~7~~8~~9~~10~~11 1 4 9 16 25 36

Does the pattern of squares continue?

Part B. As before, but cross out every third, form partial sums, then cross out every second and for a second partial sums.

1 2~~3~~4 5~~6~~7 8~~9~~10 11~~12~~13 14~~15~~16 1~~3~~7~~12~~19~~27~~37~~48~~61~~75~~91 1 8 27 64 125 216

Does the pattern of cubes continue?