a)M=2+2^2+2^3+.......2^13+2^14
2M=2^2+2^3+2^4+..........2^15
2M-M=M VẬY M=2^15-2
b) gọi A= 2+2^2+2^3+2^12+2^13
ta có 4A=2^3+2^4+.......+2^2^15
4A-A=3A suy ra A=(2^15-2):3
vậy 2^15-2:[(2^15-2):3]=3
vậy 2+2^2+2^3+.....+2^13+2^14chia hết cho 2+2^2+2^3+......+2^13