1+$2^{2}$+$2^{3}$ +$2^{4}$+ $2^{5}$+ $2^{6}$+ $2^{7}$
=(1+2)+(2²+2³).........+($2^{6}$+ $2^{7}$ )
=3+2².(1+2)+.......+$2^{6}$.(1+2)
=3+2².3+........+$2^{6}$.3
=3.(2²+......+$2^{6}$)
mà 3 chia hết cho 3
⇒1+2+2²+2³+$2^{4}$+ $2^{5}$+ $2^{6}$+ $2^{7}$ chia hết cho 3
Học tốt!