Waste less time on Facebook — follow Brilliant.
×

Queston

Take any two real number R1, R2 . Buildup a series as follows R1, R2, R1+R2, R1+R2+R2, (R1+R2+R2)+(R1+R2),,,,,,Rn+1=Rn+Rn-1........ The same way we build the ordinary fibo ordinary series 1,1,2,3,5,8,13.....

As the series propagates the following ratio Rn+1/Rn will approach fibo(1.6180339....), which can be checked approximately experimentally by using finite real numbers. Is that possible to prove it based on the regular Fibo. series and also for irrational numbers: R1 and R2 ?

Note by N K
4 years, 8 months ago

No vote yet
1 vote

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

Comments

There are no comments in this discussion.

×

Problem Loading...

Note Loading...

Set Loading...