已知1加2加3加.加31加32加33等于17乘33 求1减3加2减6加3减9加4减12加.加31减93加32减96加33减99
问题描述:
已知1加2加3加.加31加32加33等于17乘33 求1减3加2减6加3减9加4减12加.加31减93加32减96加33减99
答
(1)由1+2+3+.+32+33
=(1+33)×33÷2
=17×33.
=561
(2)(1-3)+(2-6)+(3-9)+(4-12)+.+(31-93)+(33-96)
=(1+2+3+.+33)-(3+6+9+12+.+96+99)
=(1+2+3+.+33)-3(1+2+3+.+32+33)
=(1+2+3+.+33)×(1-3)
=17×33×(-2)
-561×2
=-1122.