一已知数列《2^(n-1)*an》前N项和Sn=9-6n,(1)求an(2)设Bn=n*(3-㏒2(∣an∣/3))求Bn?


(1)
n=1时,an=S1=3

n>1时

2^(n-1)*an=Sn-S(n-1)=-6

so: an=-6/2^(n-1)

(2)n=1时

B1=3-log2(1)=3

n>1时漏银友,搏芦an<返槐0,|an|=-an=6/2^(n-1)

Bn=n*(3-log2(2/2^(n-1)))

=n*(3-log2(2^(2-n)))

=n*(3-(2-n))

=n*(n+1)