设数列{An}是以2为首项,1为公差的等差数列,{Bn}是以1为首项,2为公比的等比数列,则Ba1+Ba2...+Ba6等于?

2025-06-26 06:57:19
推荐回答(1个)
回答1:

解:
an=2+1×(n-1)=n+1
bn=1×2^(n-1)=2^(n-1)
b(an)=b(n+1)=2ⁿ
b(a1)+b(a2)+...+b(a6)
=b2+b3+...+b7
=2+2²+2³+...+2^6
=2×(2^6 -1)/(2-1)
=2^7 -2
=126