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问题: 数学8

要有步骤

解答:

14、a1=5
an=Sn-S(n-1)=S(n-1)--->Sn=2S(n-1)
--->{Sn}是等比数列,S1=a1=5,Sn=5*2^(n-1)
--->an=S(n-1)=5*2^(n-2)

15、--->a3²=a1a9--->(a1+2d)²=a1(a1+8d)
--->a1²+4a1d+4d²=a1²+8a1d
--->4d²=4a1d, d≠0--->d=a1--->an=nd
--->(a3+a6+a9)/(a4+a7+a10)=(3+6+9)/(4+7+10)=6/7