已知数列an的前n项和Sn=1-(1/3)^n,把数列an的各项排成三角形形状如下;记第M行第N列上排的数为A(M,N)a1a2 a3a4 a5 a6····························则A(10,8)=?

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已知数列an的前n项和Sn=1-(1/3)^n,把数列an的各项排成三角形形状如下;记第M行第N列上排的数为A(M,N)a1a2 a3a4 a5 a6····························则A(10,8)=?

已知数列an的前n项和Sn=1-(1/3)^n,把数列an的各项排成三角形形状如下;记第M行第N列上排的数为A(M,N)a1a2 a3a4 a5 a6····························则A(10,8)=?
已知数列an的前n项和Sn=1-(1/3)^n,把数列an的各项排成三角形形状如下;记第M行第N列上排的数为A(M,N)
a1
a2 a3
a4 a5 a6
····························
则A(10,8)=?

已知数列an的前n项和Sn=1-(1/3)^n,把数列an的各项排成三角形形状如下;记第M行第N列上排的数为A(M,N)a1a2 a3a4 a5 a6····························则A(10,8)=?
第一行1个数,……,第n-1行n-1个数,
∴到第9行最后1个数的个数为:(1+9)9/2=45个;
∴45+8=53,第10行的第8个数为:a53
即A(10,8)=a53=S53-S52=[1-(1/3)^53]-[1-(1/3)^52]=2×(1/3)^53