若数列﹛an﹜是公差为d的等差数列,则数列a1+a2,a3+a4,a5+a6·········是公差为多少的等差数列?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/24 01:42:06
若数列﹛an﹜是公差为d的等差数列,则数列a1+a2,a3+a4,a5+a6·········是公差为多少的等差数列?若数列﹛an﹜是公差为d的等差数列,则数列a1+a2,a3+a4,a5+a6···

若数列﹛an﹜是公差为d的等差数列,则数列a1+a2,a3+a4,a5+a6·········是公差为多少的等差数列?
若数列﹛an﹜是公差为d的等差数列,则数列a1+a2,a3+a4,a5+a6·········是公差为多少的等差数列?

若数列﹛an﹜是公差为d的等差数列,则数列a1+a2,a3+a4,a5+a6·········是公差为多少的等差数列?
若数列﹛an﹜是公差为d的等差数列,则数列a1+a2,a3+a4,a5+a6·········是公差为多少的等差数列?
由数列﹛an﹜是公差为d的等差数列,有通项为
an=a1+(n-1)d,
从而有 a(2n-1)=a1+[(2n-1)-1]d=a1+(2n-2)d
a2n=a1+(2n-1)d
则数列a1+a2,a3+a4,a5+a6·········即数列{aN},有通项为
aN=a(2n-1)+a2n
=[a1+(2n-2)d]+[a1+(2n-1)d]
=2a1+(4n-3)d
=2a1+d+(4n-4)d
=(2a1+d)+(n-1)4d
说明该数列a1+a2,a3+a4,a5+a6·········即数列{aN},是以
(2a1+d)为首项,
公差是4d的等差数列.
∴数列a1+a2,a3+a4,a5+a6·········即数列{aN},的公差是4d.

应该是4d吧

等差数列有性质:S偶次项-S奇次项=50d 由此得出:a2 a4 a6 …… a100=85 则a1 a2 a3 …… a99 a100=145 应该是偶数(下标)之和减去

a1+a2=a1+a1+d=2a1+d
a3+a4=a1+2d+a1+3d=2a1+5d
a5+a6=a1+4d+a1+5d=2a1+9d
d'=4d

2d

若数列{an}是公差为d的等差数列,则数列{an+2a(n+2)}是公差为多少的等差数列 若数列﹛an﹜是公差为d的等差数列,则数列a1+a2,a3+a4,a5+a6·········是公差为多少的等差数列? 若等差数列a1,a2,a3,...,an,...的公差为d,则数列a1,a4,a7,...,a3n-2,...公差为 等差数列{an}的公差为d,则数列a1+a4,a2+a5,a3+a6,.是什么数列 数列{an}是公差为d的等差数列,用定义法证明数列{a(4n-3)}是等差数列 若{an}是以为公差的等差数列,则{a3N+2}的公差是RT 以d为公差 数列{an}为公差d不等于0的等差数列,数列{bn}是等比数列,若a1=b1,a3=b3,a7=b5,则b11=? {an}是公差为1的等差数列,则{a2n-1+2a2n}是什么等差数列若{an}是公差为1的等差数列,则{a2n-1+2a2n}是A、公差为3的等差数列 B、公差为4的等差数列C、公差为6的等差数列 D、公差为9的等差数列 若{an}为等差数列,d为公差,则此数列依次k项和构成的新数列仍成等差数列,公差为dk^2.解释一下为什麽公差会等於dk^2. ①数列﹛an﹜满足a1=3,an=an-1(n-1在右下方)-3 (n≥2),则数列﹛an﹜是?A:公差为3的等差数列 B:公比为3的等比数列 C:公差为-3的等差数列 D:公比为2的等比数列 ②数列﹛an﹜满足a1=3,an-1(n-1在右 数列{an}是公差d≠0的等差数列,数列{bn}是等比数列,若a1=b1在公差为d(d不等于0)的等差数列(an)和公比为q的等比数列(bn)中,已知a1=1,b1=1,a2=b2,a8=b3.1.求数列{an}的公差d和数列{bn}的公比q2.是否存在常 若数列{an},{bn}是等差数列,公差分别为d1,d2,则数列{a2n},{an,2bn)是不是等差数列?如果是,公差是多少 若数列{an},{bn}是等差数列,公差分别为d1,d2,则数列{a2n},{an,2bn)是不是等差数列?如果是,公差是多少 等差数列{an}的首项为a,公差为d,前n项和为Sn,则数列{Sn}为递增数列的充分必要条件是____ 设等差数列an的公差为d,若数列{2^(a1an)}为递减数列,则:A d>0 B d0 D a1d 已知等差数列首项是a1,公差是d,bn=3an+4b,则数列是否为等差数列 已知数列{an}是等差数列,公差为d,试用am,n,m和d表示an 记数列an前n项和为Sn,数列Sn/an是公差为d的等差数列,则数列an为等差数列时,d=1/2 和1