Difference between revisions of "Catalan's identity"

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(Created page with "==Theorem== The following formula holds: $$F_n^2 - F_{n+r} F_{n-r} = (-1)^{n-r}F_r^2,$$ where $F_n$ denotes a Fibonacci number. ==Proof== ==See also=...")
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Revision as of 02:36, 15 September 2016

Theorem

The following formula holds: $$F_n^2 - F_{n+r} F_{n-r} = (-1)^{n-r}F_r^2,$$ where $F_n$ denotes a Fibonacci number.

Proof

See also

Cassini's identity

References