3. Let u₁> √5 and define u2, U3, U4, by the formula 5 ma+i - 2 (1+2) Un+1 (un = -). Un

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3. Let u₁> √5 and define u2, U3, U4,
by the formula
5
nasi - (0+2)
Un+1
=
-).
Un
Transcribed Image Text:3. Let u₁> √5 and define u2, U3, U4, by the formula 5 nasi - (0+2) Un+1 = -). Un
(b) Prove that (un)n≤N converges and the limit is √5. Make sure you clearly state any theorem you invoke to establish this proof.
Transcribed Image Text:(b) Prove that (un)n≤N converges and the limit is √5. Make sure you clearly state any theorem you invoke to establish this proof.
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