等差数列an中,a10=30,a20=50,令bn=2^(an-10),证an为等比数列

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/16 09:59:30

等差数列an中,a10=30,a20=50,令bn=2^(an-10),证an为等比数列
等差数列an中,a10=30,a20=50,令bn=2^(an-10),证an为等比数列

等差数列an中,a10=30,a20=50,令bn=2^(an-10),证an为等比数列
a20-a10=20
公差为2
an=10+2n
bn=2^(10+2n-10)=2^2n
(bn+1)/bn=2^(2n+1)/2^2n=2
∴bn为等比数列