For the Pell numbers, derive the relations below, where n :'.'.: 1:(a) P2n = 2pnqn.(b)
Chapter 15, Problem 16(choose chapter or problem)
For the Pell numbers, derive the relations below, where n :'.'.: 1:(a) P2n = 2pnqn.(b) Pn + Pn-l = qn.(c) 2q; - q2n = (-l)n.(d) Pn + Pn+l + Pn+3 = 3Pn+2(e) q; - 2p = (-l)n; hence, qn/ Pn are the convergents of ,J2.
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