Note that 3 = 1+2, 5 = 2+3, 6 = 1+2+3, 7 = 3+4, but neither 4 nor 8 can be written as the sum of two or more CONSECUTIVE positive integers.

1-Show that no power of 2 can be written as the sum of two or more consecutive positive integers.

2-Show that any integer that is not a power of 2 can be written as the

sum of consecutive integers.