1. Prove by recurrence that so n ∈ N and θ ∈ R (cos (nθ)+isin (nθ)=cos (nθ)+isin (nθ) 2. Prove that U_(n+1) =(1/5)(U_n ^2 +6) and U


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Question Number 158984 by LEKOUMA last updated on 11/Nov/21

$1 . P r o v e b y r e c u r r e n c e t h a t$ $s o n \in N a n d θ \in R$ $(\cos (n θ) + i \sin (n θ) = \cos (n θ) + i \sin (n θ)$ $2 . P r o v e t h a t U_{n + 1} = \frac{1}{5} (U_{n}^{2} + 6) a n d$ $U_{1} = \frac{5}{2}, i s d e c r e a s e$
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