SOLUTION: Show that whenever n ≥ 3, fn > ßn-2 , where ß = (1 + √ 5)∕2.

Algebra.Com
Question 1193450: Show that whenever n ≥ 3, fn > ßn-2 , where ß = (1 + √ 5)∕2.
Answer by ikleyn(52799)   (Show Source): You can put this solution on YOUR website!
.
Show that whenever n ≥ 3, fn > ßn-2 , where ß = (1 + √ 5)∕2.
~~~~~~~~~~~~~~~~~~~


This problem was posted approximately a month or two ago in the same form,
and I explained/responded,  that in this form it is  DEFECTIVE  and can not be solved.


See the link
https://www.algebra.com/algebra/homework/logarithm/logarithm.faq.question.1192804.html


This time,  I confirm  AGAIN  that previous  DIAGNOSIS.


Some  "visitors"  at this forum are so  SLOW  that one month is not enough time for them to get the meaning of my message.



RELATED QUESTIONS

Show that whenever n ≥ 3, fn > ßn-2 , where ß = (1 + √... (answered by ikleyn)
Show that whenever n ≥ 3, fn > ßn-2 , where ß = (1 + √... (answered by ikleyn)
Recall that the Fibonacci numbers are defined by F1=1, F2=1, and Fn=Fn-1+Fn-2for n>=3.... (answered by venugopalramana)
The Fibonacci numbers 1,1,2,3,5,8.... are defined by F0=F1 and Fn=Fn-1+Fn-2 for n<=2.... (answered by venugopalramana)
Let (Fn)=(1,1,2,3,5,8,13,21,34,55,...) be the fibonacci sequence defined by F1=F2=1,... (answered by venugopalramana)
show that the number {{{n^(n-1)-1}}} is divisible by {{{(n-1)^2}}} whenever... (answered by Edwin McCravy)
if α and β are zeroes of 3x^2+8x+2 ,find value of α^2+ß^2 1) a^3+ß^3 2)... (answered by Edwin McCravy)
3. Determine which of the following two rules (I or II) is an equivalent formulation of... (answered by Edwin McCravy)
show that 1/2!+2/3!+3/4!+...+n/(n+1)!=1-1/(n+1)!. where n!=1*2*3*...*n.... (answered by Edwin McCravy)