已知数列{an}满足a1=1,an+a(n+1)=(1/3)的n次方(n∈N),Sn=a1+3a2+3²a3……+3n-1次方an则4Sn-3的n次方×an=?
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已知数列{an}满足a1=1,an+a(n+1)=(1/3)的n次方(n∈N),Sn=a1+3a2+3²a3……+3n-1次方an则4Sn-3的n次方×an=?已知数列{an}满足a1=1,
已知数列{an}满足a1=1,an+a(n+1)=(1/3)的n次方(n∈N),Sn=a1+3a2+3²a3……+3n-1次方an则4Sn-3的n次方×an=?
已知数列{an}满足a1=1,an+a(n+1)=(1/3)的n次方(n∈N),Sn=a1+3a2+3²a3……+3n-1次方an
则4Sn-3的n次方×an=?
已知数列{an}满足a1=1,an+a(n+1)=(1/3)的n次方(n∈N),Sn=a1+3a2+3²a3……+3n-1次方an则4Sn-3的n次方×an=?
由Sn=a1+3a2+3²a3……+3n-1次方an 得
3Sn= 3a1+3²a2……+3n-1次方an-1+3n次方×an
相加4Sn=a1+3(a1+a2)+……3n-1次方*(an-1+an)+3n次方an=a1+(n-1)+3n次方×an
故:4Sn-3的n次方×an=a1+n-1=n
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