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Question Number 100769 by Rio Michael last updated on 28/Jun/20
Considerthesequences(un)and(vn)definedby{u0=1un+1=2unvnun+vnand{v0=2vn+1=un+vn2∀n∈N(1)Showthat(un)and(vn)arestrictlypositivealsoShowthat(un)and(vn)areofoppositesenseofvariation.(2)letwn=vn−unshowthat0⩽wn+1⩽12wn(3)Provebyinductionthat0⩽wn⩽12n
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