Sn=2An+3n-12
问题描述:
Sn=2An+3n-12
(1) 求An 的通项公式 我已经求出来了 An=3*(1+2^n)
(2)Bn=(An-3)/(Sn-3n)( An+1 -6) 求证B1+B2+……+Bn
答
(1)An=3(1+2^n)(2)由题知,Sn=2An+3n-12=6(2^n-1)+3nBn=(An-3)/(Sn-3n)(A(n+1)-6)=(3*2^n)/(6(2^n-1))(3(2^(n+1)-1))=(2^n)/(6(2^n-1)(2^(n+1)-1))=(1/6)[1/(2^n-1)-1/(2^(n+1)-1)]B1+B2+……+Bn=(1/6)[1/(2^1-1)-1/(...