设Sn为数列an的前n项和,Sn=(-1)的n次幂-1/2的n次幂,n∈正整数,则(1)a3=(2)S1+S2+...+S100=

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设Sn为数列an的前n项和,Sn=(-1)的n次幂-1/2的n次幂,n∈正整数,则(1)a3=(2)S1+S2+...+S100=

设Sn为数列an的前n项和,Sn=(-1)的n次幂-1/2的n次幂,n∈正整数,则(1)a3=(2)S1+S2+...+S100=
设Sn为数列an的前n项和,Sn=(-1)的n次幂-1/2的n次幂,n∈正整数,则(1)a3=(2)S1+S2+...+S100=

设Sn为数列an的前n项和,Sn=(-1)的n次幂-1/2的n次幂,n∈正整数,则(1)a3=(2)S1+S2+...+S100=
(1)a3=S3-S2=(-1-1/8)-(1-1/4)=-15/8
(2)S1 S2 S3 .S100=(-1-1/2) (1-1/4) (-1-1/8) .(1-(1/2)^100)
=-1/2-1/4-1/8-.-(1/2)^100=-(1/2(1-(1/2)^100))/(1-1/2)=1-(1/2)^100

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