F(n+1)F(n-1)-F(n)^2=(-1)^n

From specialfunctionswiki
Revision as of 00:21, 25 May 2017 by Tom (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

Theorem

The following formula holds: $$F(n+1)F(n-1)-F(n)^2=(-1)^n,$$ where $F(n)$ denotes a Fibonacci number.

Proof

References