设an为等比数列,bn=log2an为等差数列,(2为底数),Tn为bn的前n项和,且t6=64,
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解决时间 2021-03-19 02:24
- 提问者网友:心如荒岛囚我终老
- 2021-03-18 21:58
设an为等比数列,bn=log2an为等差数列,(2为底数),Tn为bn的前n项和,且t6=64,
最佳答案
- 五星知识达人网友:西岸风
- 2021-03-18 22:42
如图
追问不好意思哦,我算出来也是这个可是我老师说不对,他让我多想想2333追答是这个。除非你题目给错了。我想不出来还有别的追问那好吧谢谢啦,麻烦了
追问不好意思哦,我算出来也是这个可是我老师说不对,他让我多想想2333追答是这个。除非你题目给错了。我想不出来还有别的追问那好吧谢谢啦,麻烦了
全部回答
- 1楼网友:大漠
- 2021-03-18 22:50
数列{an}是等比数列,an=a1qⁿ⁻¹,log2(an)有意义,a1>0,q>0
bn=log2(an)=log2(a1qⁿ⁻¹)=log2(a1)+(n-1)log2(q)
T6=6log2(a1)+(0+1+...+5)log2(q)
=6log2(a1)+15log2(q)
=log2(a1⁶q¹⁵)
=log2[(a1q²·a1q³)³]
=log2[(a3a4)³]
=64
=2⁶
a3a4=2²=4
a3a4的值为4追问诶这个最后把3除过去后,log到哪去了啊?追答数列{an}是等比数列,an=a1qⁿ⁻¹,log2(an)有意义,a1>0,q>0
bn=log2(an)=log2(a1qⁿ⁻¹)=log2(a1)+(n-1)log2(q)
T6=6log2(a1)+(0+1+...+5)log2(q)
=6log2(a1)+15log2(q)
=log2(a1⁶q¹⁵)
=log2[(a1q²·a1q³)³]
=log2[(a3a4)³]
=3log2(a3a4)
=64
log2(a3a4)=64/3
a3a4=2^(64/3)
bn=log2(an)=log2(a1qⁿ⁻¹)=log2(a1)+(n-1)log2(q)
T6=6log2(a1)+(0+1+...+5)log2(q)
=6log2(a1)+15log2(q)
=log2(a1⁶q¹⁵)
=log2[(a1q²·a1q³)³]
=log2[(a3a4)³]
=64
=2⁶
a3a4=2²=4
a3a4的值为4追问诶这个最后把3除过去后,log到哪去了啊?追答数列{an}是等比数列,an=a1qⁿ⁻¹,log2(an)有意义,a1>0,q>0
bn=log2(an)=log2(a1qⁿ⁻¹)=log2(a1)+(n-1)log2(q)
T6=6log2(a1)+(0+1+...+5)log2(q)
=6log2(a1)+15log2(q)
=log2(a1⁶q¹⁵)
=log2[(a1q²·a1q³)³]
=log2[(a3a4)³]
=3log2(a3a4)
=64
log2(a3a4)=64/3
a3a4=2^(64/3)
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