m-2m-3m+4m-5m-6m=m-2m-3m+4m-5m-6m+···+2002m-2003m-2004m

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/06 05:07:34
m-2m-3m+4m-5m-6m=m-2m-3m+4m-5m-6m+···+2002m-2003m-2004m
xJ@_Ǥːl>=$} !uBѳP ZR)ɦ<(S^&MfϬl & Fp ICEA<-=fw[ڞBS%68j)Pr%cɃbPZilP$5cv;X)K, TKi"VBꡧ7Qɓ&lh.ذG}b.>[簑GCv6zeQSYڵH H:,u^nyU?ykr ѱnf;K~sh7MׄD!R

m-2m-3m+4m-5m-6m=m-2m-3m+4m-5m-6m+···+2002m-2003m-2004m
m-2m-3m+4m-5m-6m=
m-2m-3m+4m-5m-6m+···+2002m-2003m-2004m

m-2m-3m+4m-5m-6m=m-2m-3m+4m-5m-6m+···+2002m-2003m-2004m
m-2m-3m+4m-5m-6m+···+2002m-2003m-2004m
= [(1-2-3)+(4-5-6)+···(2002-2003-2004)]m
= -(4+7+11+···+2005)m
= -668*(4+2005)m/2
= -671006m
等差数列公式:
Sn=n(a1+an)/2
an=a1+(n-1)d

可将每三项结合算得-4m-7m-10m-……-2005m提出负号得-(4m+7m+……+2005m)此为等差数列,公差为3m,再根据等差数列求和公式【(a1+an)*3m}/2得结果。

= (1-2-3+4-5-6)m
= -11m