数列{an}满足a1=33,a(n+1)-an=2n,则an/n的最小值为_
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/10 06:03:42
数列{an}满足a1=33,a(n+1)-an=2n,则an/n的最小值为_
an=n+33/n-1≥2√33-1
所以:n=33/n
所以:n=√33
n=5或者n=6
a5/5=5+33/5-1=10.6,a6/6=6+33/6-1=10.5
an=n+33/n-1≥2√33-1
所以:n=33/n
所以:n=√33
n=5或者n=6
a5/5=5+33/5-1=10.6,a6/6=6+33/6-1=10.5
a1=33,a(n)-a(n-1)=2(n-1),
a(n)=a1+(a2-a1)+(a3-a2)+……+( a(n)-a(n-1))
=33+2+2×2+……+2(n-1)=33+n(n-1).
an/n=33/n+n-1,
函数33/n+n在(0,√33)上递减,在(√33,+∞)上递增,
5
a(n)=a1+(a2-a1)+(a3-a2)+……+( a(n)-a(n-1))
=33+2+2×2+……+2(n-1)=33+n(n-1).
an/n=33/n+n-1,
函数33/n+n在(0,√33)上递减,在(√33,+∞)上递增,
5
数列{an}满足a1=33,a(n+1)-an=2n,则an/n的最小值为_
已知数列{an}满足a1=33,a(n+1)-an=2n,求an/n的最小值
已知数列{an}满足a1=33,an+1-an=2n 则求an/n的最小值
已知数列{An}满足A1=33,A(n+1)-An=2n,则An/n的最小值为多少?答案是21/2,
已知数列{an}满足a1=33,a(n+1)-an=2n,则an/n的最小值为多少
已知数列{an}满足a1=33,a(n+1)-an=2n则an/n的最小值为_____.
已知数列{an} 满足a1=33,an+1-an=2n,则ann的最小值为( )
已知:数列{an}满足a1=16,an+1-an=2n,则ann的最小值为( )
已知数列{an}满足a1=a2=1,an+2=an+1+an,n∈N*则使an>100的n的最小值是
已知数列{an}满足a1=1,an+1=2an/(an+2)(n∈N+),则数列{an}的通项公式为
已知数列{an}满足a1=100,an+1-an=2n,则a
已知数列{an}满足a1=33,an+1-an=2n 则求an/n?