已知数列{an}的前n项和为Sn,且a1=2,Sn=2an+k,等差数列{bn}的前n项和为Tn,且Tn=n2...
问题详情：已知数列{an}的前n项和为Sn,且a1=2,Sn=2an+k,等差数列{bn}的前n项和为Tn,且Tn=n2.(1)求k和Sn;(2)若cn=an·bn,求数列{cn}的前n项和Mn.【回答】解(1)∵Sn=2an+k,∴当n=1时,S1=2a1+k.∴a1=-k=2,即k=-2.∴Sn=2an...
问题详情：已知数列{an}的前n项和为Sn,且a1=2,Sn=2an+k,等差数列{bn}的前n项和为Tn,且Tn=n2.(1)求k和Sn;(2)若cn=an·bn,求数列{cn}的前n项和Mn.【回答】解(1)∵Sn=2an+k,∴当n=1时,S1=2a1+k.∴a1=-k=2,即k=-2.∴Sn=2an...