已知数列an是正项数列,a1=1,前n项和为sn,且满足2sn=2pan^2+pan-p,求p的值,an的通项公式若bn=4sn/n+3*2^n,数列bn的前n项和为Tn,求tn
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![已知数列an是正项数列,a1=1,前n项和为sn,且满足2sn=2pan^2+pan-p,求p的值,an的通项公式若bn=4sn/n+3*2^n,数列bn的前n项和为Tn,求tn](/uploads/image/z/8724361-49-1.jpg?t=%E5%B7%B2%E7%9F%A5%E6%95%B0%E5%88%97an%E6%98%AF%E6%AD%A3%E9%A1%B9%E6%95%B0%E5%88%97%2Ca1%3D1%2C%E5%89%8Dn%E9%A1%B9%E5%92%8C%E4%B8%BAsn%2C%E4%B8%94%E6%BB%A1%E8%B6%B32sn%3D2pan%5E2%2Bpan-p%2C%E6%B1%82p%E7%9A%84%E5%80%BC%2Can%E7%9A%84%E9%80%9A%E9%A1%B9%E5%85%AC%E5%BC%8F%E8%8B%A5bn%3D4sn%2Fn%2B3%2A2%5En%EF%BC%8C%E6%95%B0%E5%88%97bn%E7%9A%84%E5%89%8Dn%E9%A1%B9%E5%92%8C%E4%B8%BATn%EF%BC%8C%E6%B1%82tn)
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已知数列an是正项数列,a1=1,前n项和为sn,且满足2sn=2pan^2+pan-p,求p的值,an的通项公式若bn=4sn/n+3*2^n,数列bn的前n项和为Tn,求tn
已知数列an是正项数列,a1=1,前n项和为sn,且满足2sn=2pan^2+pan-p,求p的值,an的通项公式
若bn=4sn/n+3*2^n,数列bn的前n项和为Tn,求tn
已知数列an是正项数列,a1=1,前n项和为sn,且满足2sn=2pan^2+pan-p,求p的值,an的通项公式若bn=4sn/n+3*2^n,数列bn的前n项和为Tn,求tn
把al=1代入2sn=2pan^2+pan-p,得2s1=2pa1^2+pa1-p所以解得p=1所以2sn=2an^2+an-1
然后你把(n-1)项时的代入得2sn-1=2an-1^2+an-1-1再用上式减下式整理后可得an-an-1=1/2,显然是等差数列,得an=n/2+1/2
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