设an是等比数列,公比Q等于根号2Asn为an的前n项和.

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设an是等比数列,公比Q等于根号2Asn为an的前n项和.
设等比数列{an}的公比q=2,前n项和为Sn,则S4/a2等于

qSn+a1=Sn+a(n+1)Sn=a1(1-q^n)/1-q=a1(2^n-1)S4/a2=a1*(2^4-1)/2a1=15/2

设等比数列{an}的公比q=2,前n项和为Sn,则S4/a2等于( )

q=2等比数列a2=2a1s4=[a1/(1-2)]*(1-2&4)=(-a1)*(-15)=15a1s4/a2=15a1/2a1=15/2

设等比数列{an}的公比q=2,前n项和为Sn,则S4/S2等于

S4=a1+a2+a3+a4S2=a1+a2所以S4/S2=1+q^2=1+4=5

设等比数列{an}的公比q=2,前n项和为Sn,则S4/a2等于多少

S4/a2=(15a1)/(2a1)=15/2ps.高考过后我的智商呈直线下降...我胆敢回答你的问题也是因为我高三拿过数学奥赛全国三等奖,可能还残余点东西吧.错了我就要说声对不起了

第一题:设等比数列{an}的公比q

第二题:1/(X-1)=1X>=2所以不等式解集为X=2第一题公比q若为正数的话,哪么应该大于1,因为要是q

设等比数列an的公比q

S4=a1(1-q^4)/(1-q)=5a1(1-q^2)/(1-q)1+q^2=5q^2=4因为q

设等比数列An的公比q=2,前n项和为Sn,则S4/A2等于

S4=A2/2+A2+A2*2+A2*2*2=15/2*A2所以S4/A2=15/2

设等比数列an的首项a1>1,公比q>1,求证:数列{loganan+1】是递减数列

loganan+1-log(an-1)an=logan(an×q)-log(an-1)(an-1×q)=1+loganq-1-log(an-1)q=loganq-log(an-1)q<0所以递减

设a1=2,数列(1+an)是公比为2的等比数列,则a6等于?

{1+an}的首项为3(1+an)=3*2^(n-1)1+a(6)=3*2^5=96a(6)=95

设等比数列{an}的公比q

首先得求的a1a4=5s2...a1q^3=5(a1+a1q)又.a3=a1q^2=2...所以.2q=5(a1+a1q)得.a1=(2q)/(5(1+q))又因为.a3=a1q^2=2得.q=1.2

设等比数列 {an}的公比q

等比数列an=a1*q^(n-1),Sn=a1(1-q^n)/(1-q)∴a3=2=a1*q^(3-1)=a1*q^2S4=5S2=>a1(1-q^4)/(1-q)=5*a1(1-q^2)/(1-q)

若{an}是等比数列,其公比是q,且-a5,a4,a6成等差数列,则q等于(  )

∵-a5,a4,a6成等差数列,∴-a5+a6=2a4,∴-a4q+a4q2=2a4,∴q2-q-2=0,∴(q+1)(q-2)=0,∴q=-1或2.故选:C.

15.设等比数列{an}的公比q

S4=a1(1-q4)/(1-q),S2=a1(1-q2)/(1-q),已知S4=5S2,则a1(1-q4)/(1-q)=5a1(1-q2)/(1-q),即q=±2,又公比q

设{an}是公比q≠1的等比数列,且a2=9,a3+a4=18,则q等于(  )

∵{an}是公比q≠1的等比数列,且a2=9,a3+a4=18,∴a1q=9a1q2+a1q3=18,整理,得q2+q-2=0,解得q=-2,或q=1(舍)故选A.

设{an}为公比q>1的等比数列,若a2004和a2005是方程4x²-8x+3=0的两根,则a2006+a2

4x²-8x+3=0(2x-3)(2x-1)=0x1=1/2,x2=3/2于是a2004=1/2,a2005=3/2,q=3a2006=a2004*q²,a2007=a2005*q

1.设等比数列{an}的公比q

S4=a1(1-q4)/(1-q),S2=a1(1-q2)/(1-q),已知S4=5S2,则a1(1-q4)/(1-q)=5a1(1-q2)/(1-q),即q=±2,又公比q

若an是等比数列,其公比是q,且 -a5,a4,a6成等差数列,则q等于()

-1或者2再问:答案对了,求过程讲解,十分感谢再答:再问:谢啦再答:不客气

已知an是公比为实数q的等比数列,若a4,a5+a7,a6成等差数列,则q等于?

a5=a4*qa7=a4*q^3a6=a4*q^22(a5+a7)=a4+a62(a4*q+a4*q^3)=a4+a4*q^2a4不等于0两边同时÷a42q+2q^3=1+q^22q(1+q^2)=1

设{an}是公比为q的等比数列. ①推导{an}的前n项和公式; ②设q≠1,证明数列{an+1}不是等比数列.

(1)令S=a1+a2+.+an,即S=a1+a1*q+.+a1*q^(n-1)则qS=a1*q+a1*q^2+a1*q^n故(1-q)S=a1-a1*q^n得S=a1(1-q^n)/(1-q)(2)