Thread
:
Root sequence question
View Single Post
bomba923
#
1
Apr15-05, 12:20 AM
P: 736
For the recursive sequence
[tex] R_n = x + \sqrt {x - \sqrt {R_{n - 2} } } [/tex]
[tex] R_0 = x = k^2 - k + 1 [/tex]
[tex] \forall k \in \mathbb{N},\;k > 1 [/tex]
why does
[tex] \mathop {\lim }\limits_{n \to \infty } R_n = k^2 [/tex]
??
Science news
on Phys.org
•
Experts defend operational earthquake forecasting, counter critiques
•
EU urged to convert TV frequencies to mobile broadband
•
Sierra Nevada freshwater runoff could drop 26 percent by 2100