记数列{an}的前n项和为Sn,若3a(n+1)=3an+2(n属于N*),a1+a3+a5+……a99=99,求S10
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记数列{an}的前n项和为Sn,若3a(n+1)=3an+2(n属于N*),a1+a3+a5+……a99=99,求S100
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()里为角标
![记数列{an}的前n项和为Sn,若3a(n+1)=3an+2(n属于N*),a1+a3+a5+……a99=99,求S10](/uploads/image/z/7929858-66-8.jpg?t=%E8%AE%B0%E6%95%B0%E5%88%97%EF%BD%9Ban%EF%BD%9D%E7%9A%84%E5%89%8Dn%E9%A1%B9%E5%92%8C%E4%B8%BASn%2C%E8%8B%A53a%28n%2B1%29%3D3an%2B2%28n%E5%B1%9E%E4%BA%8EN%2A%29%2Ca1%2Ba3%2Ba5%2B%E2%80%A6%E2%80%A6a99%3D99%2C%E6%B1%82S10)
3a(n+1)=3an+2
3a(n+1)-3an=2
a(n+1)-an=2/3
数列{an}为等差数列,公差d=2/3
a1+a3+a5+...+a99=99
a2=a1+2/3
a4=a3+2/3
...
a100=a99+2/3
a2+a4+...+a100
=99+50*(2/3)
=99+100/3
=397/3
S100=(a1+a3+...+a99)+(a2+a4+...+a100)
=99+397/3
=694/3
3a(n+1)-3an=2
a(n+1)-an=2/3
数列{an}为等差数列,公差d=2/3
a1+a3+a5+...+a99=99
a2=a1+2/3
a4=a3+2/3
...
a100=a99+2/3
a2+a4+...+a100
=99+50*(2/3)
=99+100/3
=397/3
S100=(a1+a3+...+a99)+(a2+a4+...+a100)
=99+397/3
=694/3
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