已知等差数列an的公差d大于0,设它的前n项和为Sn,a1=1,S2S3=36
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∵an为等差数列a1,a3,a9成等比数列∴a1(a1+8d)=(a1+2d)^2a1^2+8d*a1=a1^2+4d*a1+4d^2d≠0∴d=a1a1+a3+a9/a2+a4+a10=(a1+a1
bn=sn-s(n-1)=1-1/3^n-(1-1/3^n-1)=-1/3^n+3/3^n=2/3^n
a1^2=a11^2,∴a1=-a11a1=-(a1+10d)2a1=-10da1=-5dan=a1+(n-1)d=-5d+(n-1)d=(n-6)d∵d0,a6=0,a7
(1)设等差数列{an}的公差为d,则依题设d>0由a2+a7=16.得2a1+7d=16①由a3•a6=55,得(a1+2d)(a1+5d)=55②由①得2a1=16-7d,将其代入②得(16-3d
a1,a3,a9成等比数列a3^2=a1*a9(a1+2d)^2=a1*(a1+8d)解得a1=d(a1+a3+a9)/(a2+a4+a10)=(3a1+10d)/(3a1+13d)=13d/16d=
a2+a4=2*a3=8a3=4,a4=3因此a1=6,d=-1通项为an=6-(n-1)=7-n
an=a1+(n-1)da3+a5=142a1+6d=14a1+3d=7(1)a3.a5=45(a1+2d)(a1+4d)=45(7-d)(7+d)=45d^2=4d=2from(1),a1=1an=
1.S5=5a1+10d=5(a1+2d)=70a1+2d=14a3=14a7^2=a2×a22(a3+4d)^2=(a3-d)(a3+19d)a3=14代入,整理,得d(d-4)=0d=0(已知d不
1.a3a5=55,a2+a7=16=a3+a5那么联立解得a3=5a5=11那么d=3a1=-1An=3n-42.3n-4=(B1/2)+(B2/2^2)+(B3/2^3)+.+(Bn/2^n),n
ak=48+2kbk=10+(k-1)dSk=(48+2k)[10+(k-1)d]令SK≤21即(48+2k)[10+(k-1)d]≤21求出k来.再问:最大圆面积为Sk
a1,a5,a17是等比数列(a1+4d)^2=a1*(a1+16d)a1^2+8a1d+16d^2=a1^2+16a1d8a1d=16d^2d不等于0a1=2dq=a5/a1=(a1+4d)/a1=
因为{An}是等差数列,所以A2+A8=A4+A6=10,A4*A6=24,所以可将A4、A6看作方程x^2-24x+10=0的两个根,因为d
很简单的.A1+2D=12A1=12-2DS12=(A1+A12)*D/2大于0所以A1+A1+11D大于0S13小于0所以A1+A1+12D小于024-4D+11D=24+7D大于024-4D+12
由题可得A1*A9等于A3方把分子分母都写为A3和公差d的表达式有上式可得A3和d的关系带入就可的到比值
(1)如果等比数列{bn}是递增的,则b(n+1)>bn对任意正整数n成立,若首项为b1,公比为q,则b1*q^n>b1*q^(n-1)对任意正整数n都成立,所以q>0,则b1>0时q>1,b1b1*
a2=a1+da4=a2+2da6=a2+4da2,a4-2,a6成等【比】数列(a2+2d-2)^2=(a2)(a2+4d)(2+2d)^2=4(4+4d)4+8d+4d^2=16+16dd^2-2
再问:太给力了,你的回答完美解决了我的问题!
先求An的通项就行了A1+A4=14A2A3=45d