作业帮关于数列 急 若等比数例满足：a1+a2+a3+a4+a5=3 a1²+a2²+a3²+a
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/20 23:01:43
关于数列 急
若等比数例满足：a1+a2+a3+a4+a5=3 a1²+a2²+a3²+a4²+a5²=12 则a1-a2+a3-a4+a5的值是多少?
若等比数例满足：a1+a2+a3+a4+a5=3 a1²+a2²+a3²+a4²+a5²=12 则a1-a2+a3-a4+a5的值是多少?
a1+a2+a3+a4+a5
=a1+q*a1+q^2*a1+q^3*a1+a^4*a1
=a1(1+q+q^2+q^3+q^4)
=a1(1-q^5)/(1-q)
=3——(1)
a1²+a2²+a3²+a4²+a5²
=a1²+q^2*a1²+q^4*a1²+q^6*a1²+q^8*a1²
=a1²(1+q^2+q^4+q^6+q^8)
=a1²(1-q^10)/(1-q^2)
=12——(2)
(2)/(1)
a1(1+q^5)/(1+q)=4
[1+q^5=(1+q)(1-q+q^2-q^3+q^4)]
a1(1-q+q^2-q^3+q^4)=4
a1-a2+a3-a4+a5
=a1-q*a1+q^2*a1-q^3*a1+a^4*a1
=a1(1-q+q^2-q^3+q^4)
=4
=a1+q*a1+q^2*a1+q^3*a1+a^4*a1
=a1(1+q+q^2+q^3+q^4)
=a1(1-q^5)/(1-q)
=3——(1)
a1²+a2²+a3²+a4²+a5²
=a1²+q^2*a1²+q^4*a1²+q^6*a1²+q^8*a1²
=a1²(1+q^2+q^4+q^6+q^8)
=a1²(1-q^10)/(1-q^2)
=12——(2)
(2)/(1)
a1(1+q^5)/(1+q)=4
[1+q^5=(1+q)(1-q+q^2-q^3+q^4)]
a1(1-q+q^2-q^3+q^4)=4
a1-a2+a3-a4+a5
=a1-q*a1+q^2*a1-q^3*a1+a^4*a1
=a1(1-q+q^2-q^3+q^4)
=4
关于数列 急 若等比数例满足：a1+a2+a3+a4+a5=3 a1²+a2²+a3²+a
设a1,a2,a3,a4,a5,为正整数,A={a1,a2,a3,a4,a5},B={a1²,a2²
设A=(a1,a2,a3,a4,a5),a1,a3,a5线性无关,a2=3a1-a3-a5,a4=2a1+a3+6a5,
已知等比数列an满足：a1+a2+a3+a4+a5=3,则a1-a2+a3-a4+a5的值是
设数列{An}满足A1+3A2+3²A3+******+3^（n-1）An=n/3
设数列an满足a1+3a2+3²a3……+3n-1次方an=n/3
等差数列中a1+a2+a3+a4+a5=3,a1*a1+a2*a2+a3*a3+a4*a4+a5*a5=12求a1-a2
设a1,a2,a3,a4,a5为自然数，A=｛a1,a2,a3,a4,a5｝，B=｛a1²,a2²,a3²,a4²,a5
设a1 a2 a3 a4 a5为自然数,A={a1 a2 a3 a4 a5},B={a1^ a2^ a3^ a4^a5^
若数列{an}满足a1+3a2+3²a3+···+3^n-1an=n/2 则an=
已知a1、a2、a3、a4、a5为非负有理数，且M=（a1+a2+a3+a4）（a2+a3+a4+a5），N=（a1+a
设a1,a2,a3,a4,a5为自然数,A={a1,a2,a3,a4,a5},B={a1^2,a2^2,a3^2,a4^