｛an}等比数列,且an>0,a1*a100=100 则 lga1+lga2+...+lga100=
来源：学生作业帮助网 编辑：六六作业网 时间：2025/02/01 00:55:57
｛an}等比数列,且an>0,a1*a100=100则lga1+lga2+...+lga100=｛an}等比数列,且an>0,a1*a100=100则lga1+lga2+...+lga100=｛an}
｛an}等比数列,且an>0,a1*a100=100 则 lga1+lga2+...+lga100=
｛an}等比数列,且an>0,a1*a100=100 则 lga1+lga2+...+lga100=
｛an}等比数列,且an>0,a1*a100=100 则 lga1+lga2+...+lga100=
lga1+lga2+...+lga100=lga1*a2*.*a99*a100
由｛an}等比数列,得
a1*a100=a2*a99=a3*a98=.=a50*a51=100
而a1*a2*.*a99*a100=a1*a100*a2*a99*a3*a98*.*a50*a51=100^(100/2)=100^50=10^100
从而 lga1+lga2+...+lga100=lga1*a2*.*a99*a100
=lga1*a100*a2*a99*a3*a98*.*a50*a51
=lg10^100
=100
100
a1*a100=a1*a1*q^99=(a1^2)*(q^99)
a2*a99=a1q*a1q^98=(a1^2)*(q^99)
a3*a98=a1q^2*a1q^97=(a1^2)*(q^99)
..
a49*a52=a1q^48* a1q^51=(a1^2)*(q^99)
a50*a51=a1q^49* a1q^50=(a1^2)*(q^99)
lga1+lga2+..+lga100=50lg(a1*a100)=50*lg100=100
等比数列｛an｝中,“a1
等比数列{an}中 a1
{an}是等比数列,首项a1
｛an}等比数列,且an>0,a1*a100=100 则 lga1+lga2+...+lga100=
等差数列an中d≠0,a1+a2+a5=13且a1,a2,a5成等比数列求an
在等比数列{an}中,an>0,且a2=1-a1,a4=9-a3,则a1+a 3=?
等差数列｛an｝a1=2公差不为0,且a1,a3,a11成等比数列,则该等比数列公比是多少
等差数列{an}满足a1=1,且a1、a2、a4成等比数列,求an
已知数列an是无穷等比数列,且a1+a2+...+an+...=1/a1,求实数a1的取值范围
已知｛an}是等比数列,且a2>a3=1,(a1-1/a1)+(a2-1/a2)+…+(an-1/an)>0,则自然数n的值
已知a1,a2..an是公比为q的等比数列,且a1=c（c>0）,0
已知a1,a2,...,an...是公比为q的等比数列,且a1=c(c>0),0
等差数列｛an｝中,d≠0,且a1,a2,a4成等比数列,求(a1+a2+a4)／(a2+a4+a8)
若等差数列｛AN｝的公差D不等于0 且A1,A3,A7成等比数列,A1分之A2等于
若等差数列{an}的公差d≠0,且a1,a3,a7成等比数列,a2/a1等于?
已知｛an｝是公差不为0的等差数列,a1=1,且a1,a3,a9成等比数列.求通项公式
等差数列{an}的公差d≠0,且a1,a3,a7成等比数列,则a1/a4等于
已知等差数列{an}的公差d不等于0且a1,a3,a9成等比数列,则看图