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Re: a[n],b[n]

  • To: mathgroup at smc.vnet.net
  • Subject: [mg104939] Re: a[n],b[n]
  • From: dh <dh at metrohm.com>
  • Date: Fri, 13 Nov 2009 05:58:51 -0500 (EST)
  • References: <hdgr4b$jc5$1@smc.vnet.net>


ynb wrote:

> a[n + 1] = 1/4*(1 + Sqrt[5])*a[n] - 1/2*Sqrt[1/2*(5 - Sqrt[5])]*b[n],

> b[n + 1] = 1/2*Sqrt[1/2*(5 - Sqrt[5])]*a[n] + 1/4*(1 + Sqrt[5])*b[n],

> a[1] = 4, b[1] = 9.

> 

> 

> a[n]=

> b[n]=

> 

RSolve[{a[n + 1] ==

    1/4*(1 + Sqrt[5])*a[n] - 1/2*Sqrt[1/2*(5 - Sqrt[5])]*b[n],

   b[n + 1] ==

    1/2*Sqrt[1/2*(5 - Sqrt[5])]*a[n] + 1/4*(1 + Sqrt[5])*b[n],

   a[1] == 4, b[1] == 9}, {a[n], b[n]}, n]




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