试题与答案

已知一非零向量列{an}满足:a1=(1,1),an=(xn,yn)=12(xn

题型:解答题

题目:

已知一非零向量列{an}满足:a1=(1,1),an=(xn,yn)=
1
2
(xn-1-yn-1xn-1+yn-1)(n≥2)

(1)证明:{|an|}是等比数列;
(2)设θn=<a n-1,an>(n≥2),bn=2nθn-1,Sn=b1+b2+…+bn,求Sn
(3)设cn=|an|log2|an|,问数列{cn}中是否存在最小项?若存在,求出最小项;若不存在,请说明理由.

答案:

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